tag:blogger.com,1999:blog-58611884043683024112024-03-13T09:30:43.079-07:00Cara Asyik Belajar MatematikaMari kita jadikan matematika sebagai pelajaran yang menarik dan menyenangkan...Unknownnoreply@blogger.comBlogger298125tag:blogger.com,1999:blog-5861188404368302411.post-28139460251172534752023-04-30T03:24:00.004-07:002023-04-30T03:25:35.138-07:00Teorema Ptolemeus dan Contoh Soalnya<p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhfJoI-OAoWS8yDZ8N3ZYIec1tBqTRjEdo8Zyj-RdstX5bikUjUCZkAhSVC3cGbUysmR1Rj9zu_DtxUzC5L7clxiDWk0BBObu7GR9UGEvVxrHVd0ia9GXyOxGzE4xHWts4RezLmpWps9SwxrBPhXXWhdu0YqnfNWXPllO-Gwr4Ffsp-OmSd-SAbktM4vw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="299" data-original-width="250" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEhfJoI-OAoWS8yDZ8N3ZYIec1tBqTRjEdo8Zyj-RdstX5bikUjUCZkAhSVC3cGbUysmR1Rj9zu_DtxUzC5L7clxiDWk0BBObu7GR9UGEvVxrHVd0ia9GXyOxGzE4xHWts4RezLmpWps9SwxrBPhXXWhdu0YqnfNWXPllO-Gwr4Ffsp-OmSd-SAbktM4vw" width="201" /></a></div><br />Assalamualaikum MathLovers?<p></p><p>Bagaimana kabar kalian? Saya berharap kalian sehat selalu dan tidak bosan kunjungi aku disini yah. Pada pertemuan kali ini aku mau sedikit berbagi mengenai salah satu teorema dalam pelajaran geometri, yakni teorema ptolemeus. Teorema ptolemeus ditemukan oleh seorang Filosof Yunani Kuno yang bernama Cladius Ptolomeus ( 170 - 100 SM). Isi dari teorema ptolemeus tersebut adalah "hasil kali dari diagonal-diagonal tali busur adalah jumlah dari hasil kali sisi sisi yang berhadapan. </p><p> </p><p><br /></p><p>Misalkan saya memiliki sebuah tali busur lingkaran seperti gambar di bawah ini!</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgzRsY3YrYGFE5d06lErSa6cw2zMIqIQVBJe3p6PlBComtNkKmxx1gDqrZSRE2m6UPCJjJewPeEeQVU5gpEIF31QT8xbHjSlKeEaez6DMC_jso3GzgvjhDItKtoVsrgkmPaLnovs4P1Wej1bdoPibvR2ydm0elM-JtDMDpxnESy27DyOCJgxZq67-JKtg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="138" data-original-width="138" height="200" src="https://blogger.googleusercontent.com/img/a/AVvXsEgzRsY3YrYGFE5d06lErSa6cw2zMIqIQVBJe3p6PlBComtNkKmxx1gDqrZSRE2m6UPCJjJewPeEeQVU5gpEIF31QT8xbHjSlKeEaez6DMC_jso3GzgvjhDItKtoVsrgkmPaLnovs4P1Wej1bdoPibvR2ydm0elM-JtDMDpxnESy27DyOCJgxZq67-JKtg=w200-h200" width="200" /></a></div><br /><br /><p></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p>Berdasarkan teorema ptolemeus dapat kita nyatakan dengan</p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?EC%5Ccdot%20FD%3DFC%5Ccdot%20ED&plus;EF%5Ccdot%20DC" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p><b>Contoh Soal</b></p><p>Perhatikan gambar di bawah ini!</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhgkSR_qhSoExeXCPa5vPhTxgtxfLJw2G3sr1wwz2xoN4kuE69Bu6syygvNgpzXRx5ldUc1_71YBrRZyHtpt9dDsMxgcleuinyMwTmk3PpeHEhpyQTjZpusAuNBBMUdr48OyfFvLXhSK52nbhYQmeBKpmZmmd8UNGwBnv19zsDmdNKe7BdmpFy9rXUCRw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="169" data-original-width="173" height="195" src="https://blogger.googleusercontent.com/img/a/AVvXsEhgkSR_qhSoExeXCPa5vPhTxgtxfLJw2G3sr1wwz2xoN4kuE69Bu6syygvNgpzXRx5ldUc1_71YBrRZyHtpt9dDsMxgcleuinyMwTmk3PpeHEhpyQTjZpusAuNBBMUdr48OyfFvLXhSK52nbhYQmeBKpmZmmd8UNGwBnv19zsDmdNKe7BdmpFy9rXUCRw=w200-h195" width="200" /></a><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhgkSR_qhSoExeXCPa5vPhTxgtxfLJw2G3sr1wwz2xoN4kuE69Bu6syygvNgpzXRx5ldUc1_71YBrRZyHtpt9dDsMxgcleuinyMwTmk3PpeHEhpyQTjZpusAuNBBMUdr48OyfFvLXhSK52nbhYQmeBKpmZmmd8UNGwBnv19zsDmdNKe7BdmpFy9rXUCRw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhgkSR_qhSoExeXCPa5vPhTxgtxfLJw2G3sr1wwz2xoN4kuE69Bu6syygvNgpzXRx5ldUc1_71YBrRZyHtpt9dDsMxgcleuinyMwTmk3PpeHEhpyQTjZpusAuNBBMUdr48OyfFvLXhSK52nbhYQmeBKpmZmmd8UNGwBnv19zsDmdNKe7BdmpFy9rXUCRw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a></div><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p>Jika diketahui segitiga ABC adalah segitiga sama sisi, panjang BD = 3 cm dan panjang CD = 2 cm. Maka panjang AD adalah ....</p><p></p><p><b>Pembahasan:</b></p><p>Karena segitiga ABC adalah segitiga sama sisi, maka panjang ketiga sisinya adalah sama, kita misalkan panjang sisinya adalah x.</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiyFMFTFKECekJwm76rI6_WDcrbJDD5g-VpBRat36Q6_BUwrAJAK15jUjc3SS71BR7OF8eAT6KqZoTDEHAWrWenOmEAltZeDskyL6Up6EtMzb9jCsD-GGtmNZjiOcZol332LLbqu8EmZWhBR1vdjTzzhoYFqFMJjPzxJqM4fLBHQlLkFb5MCzamh1e1XQ" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiyFMFTFKECekJwm76rI6_WDcrbJDD5g-VpBRat36Q6_BUwrAJAK15jUjc3SS71BR7OF8eAT6KqZoTDEHAWrWenOmEAltZeDskyL6Up6EtMzb9jCsD-GGtmNZjiOcZol332LLbqu8EmZWhBR1vdjTzzhoYFqFMJjPzxJqM4fLBHQlLkFb5MCzamh1e1XQ" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiyFMFTFKECekJwm76rI6_WDcrbJDD5g-VpBRat36Q6_BUwrAJAK15jUjc3SS71BR7OF8eAT6KqZoTDEHAWrWenOmEAltZeDskyL6Up6EtMzb9jCsD-GGtmNZjiOcZol332LLbqu8EmZWhBR1vdjTzzhoYFqFMJjPzxJqM4fLBHQlLkFb5MCzamh1e1XQ" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjZzEkq2zMEJruybAUOMSjrjbHuGRSQyIq3W5Jsd85orEbggx0Zz4VysxctCvjMSH8WGPugNWm8-aFN2iWHPb9tmJgpPDdfz7T6l3PYCqZDGEYu_LvkFLhhxfNioKsX1qGZnyvqX4PDPYEDlwkI9Or0L2AIMpFrwXSR5HRQGss4c59jktlsx49Ijdeyug" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="223" data-original-width="217" height="176" src="https://blogger.googleusercontent.com/img/a/AVvXsEjZzEkq2zMEJruybAUOMSjrjbHuGRSQyIq3W5Jsd85orEbggx0Zz4VysxctCvjMSH8WGPugNWm8-aFN2iWHPb9tmJgpPDdfz7T6l3PYCqZDGEYu_LvkFLhhxfNioKsX1qGZnyvqX4PDPYEDlwkI9Or0L2AIMpFrwXSR5HRQGss4c59jktlsx49Ijdeyug=w171-h176" width="171" /></a></div><br /><br /></div><br /></div><br /><br /><br /><p></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p>Berdasarkan teorema Ptolemeus, maka </p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?AD%5Ccdot%20BC%3DAB%5Ccdot%20DC&plus;BD%5Ccdot%20AC" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?AD%5Ccdot%20x%3D2%5Ccdot%20x&plus;3%5Ccdot%20x" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?AD%5Ccdot%20x%3D5%5Ccdot%20x" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p>Dengan membagi kedua ruas dengan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?x" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." />, maka diperoleh</p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?AD%3D5%5C%20cm" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p><br /></p><p><br /></p><br /><p></p>Unknownnoreply@blogger.com02J9M+2PW, Kiduldalem, Kec. Klojen, Kota Malang, Jawa Timur 65119, Indonesia-7.9823958999999993 112.6343279-7.9829271442101888 112.63379145819702 -7.98186465578981 112.63486434180298tag:blogger.com,1999:blog-5861188404368302411.post-32219158337944208782023-04-26T18:30:00.003-07:002023-04-26T18:30:00.158-07:00Latihan Soal Little Fermat Theorem<p> </p><div class="separator" style="clear: both; text-align: left;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj8svasFIDNItdD9MVMsu66jGanX3jN4Q3qqKboq1v_86EvX2jXab1mMlTkwVOn3iQQ80KvDkFvgWPwwEKb7ms9F_H5fHRXc0FEcN_d3nnIO6MW6tRo6YbKC6pWX0ejq-zf6jOR0ozmnNmu0AiHmXBMMoSBEbKqsmp0_Yj02Ns6wT2tzUWspiIJJema1Q" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="169" data-original-width="368" height="147" src="https://blogger.googleusercontent.com/img/a/AVvXsEj8svasFIDNItdD9MVMsu66jGanX3jN4Q3qqKboq1v_86EvX2jXab1mMlTkwVOn3iQQ80KvDkFvgWPwwEKb7ms9F_H5fHRXc0FEcN_d3nnIO6MW6tRo6YbKC6pWX0ejq-zf6jOR0ozmnNmu0AiHmXBMMoSBEbKqsmp0_Yj02Ns6wT2tzUWspiIJJema1Q" width="320" /></a></div><br />Assalamualaikum guys!<p></p><p>Bertemu lagi dengan saya Joe dalam belajar matematika secara asyik!</p><p>Gimana kabar kalian semua? Saya harap kalian semua sehat selalu.</p><p>Pada postingan saya kali ini saya ingin membahas soal yang berhubungan dengan little fermat theorem atau dalam Bahasa Indonesia populer dengan nama teorema kecil fermat. Sebelumnya kita bahas sedikit mengenai apa itu teorema kecil fermat.</p><p>Jadi, misalkan diketahui <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?p" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> adalah bilangan prima dan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?a" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> adalah bilangan bulat, maka</p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?p%5Cmid%20%28a%5E%7Bp%7D-a%29" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?a%5E%7Bp%7D-a%5Cequiv0mod%28p%29" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?a%5E%7Bp%7D%5Cequiv%20a%5C%20mod%28p%29" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?a%5E%7Bp-1%7D%5Cequiv%201%5C%20mod%28p%29" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p>Bentuk terakhir adalah bentuk yang akan sering kita gunakan dalam mengerjakan soal yang berhubungan dengan little fermat theorem.</p><p><b>Contoh Soal</b></p><p>Carilah sisa dari pembagian <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?4%5E%7B532%7D" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> dengan 11!</p><p>Kita tahu bahwa 11 adalah bilangan prima, maka</p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?4%5E%7B10%7D%5Cequiv%201%5C%20mod%2811%29" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?4%5E%7B532%7D%5Cequiv%204%5E%7B10%5Ccdot%2053&plus;2%7D" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?4%5E%7B10%5Ccdot%2053&plus;2%7D%3D4%5E%7B10%5Ccdot%2053%7D%5Ccdot%2016" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p>Maka, </p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?4%5E%7B532%7D%5Cequiv%204%5E%7B10%5Ccdot%2053%7D%5Ccdot%2016%5Cmod11" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></p><p><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?4%5E%7B532%7D%5Cequiv%201%5Ccdot%2016%5Cmod11" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /><span style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; text-align: center;"></span></p><div><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?4%5E%7B532%7D%5Cequiv%2016%5Cmod11" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></div><div><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?4%5E%7B532%7D%5Cequiv%205%5Cmod11" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></div><div>Jadi sisa dari pembagian antara <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?4%5E%7B532%7D" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> dengan 11 adalah 5.</div><div id="equationcomment" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;"></div>Unknownnoreply@blogger.com0Jl. Kauman Dalam No.7, Kauman, Kec. Klojen, Kota Malang, Jawa Timur 65119, Indonesia-7.9835024999999993 112.6271513-7.9920023050693088 112.61856823115234 -7.97500269493069 112.63573436884765tag:blogger.com,1999:blog-5861188404368302411.post-70888305590017677182023-04-25T06:36:00.006-07:002023-04-25T06:36:44.341-07:00Cara Menentukan Penyebut Pada Pecahan Yang Diketahui Hasilnya<p> Assalamualaikum Math lovers semua!</p><p class="MsoNormal"><o:p></o:p></p>
<p class="MsoNormal">Bertemu lagi dengan saya Mr. Math yang
suka banget dengan matematika. Pada kesempatan kali ini kita akan membahas bagaimana menentukan bilangan pada penyebut pada operasi pecahan berbentuk <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?%5Cfrac%7B1%7D%7Ba%7D&plus;%5Cfrac%7B1%7D%7Bb%7D%3D%5Cfrac%7B1%7D%7Bc%7D" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> dengan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?a" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> dan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?b" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> adalah <span style="font-family: Calibri, "sans-serif"; font-size: 11pt;">variabel
yang belum diketahui nilainya dan </span><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?c" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> adalah sebuah konstanta yang sudah
diketahui nilainya. Hmmm... kira kira bagaimana ya? </p><p class="MsoNormal">Jadi ga usah lama lama, yuk cus!</p><p class="MsoNormal">Jika diketahui <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?%5Cfrac%7B1%7D%7Bx%7D&plus;%5Cfrac%7B1%7D%7By%7D%3D%5Cfrac%7B1%7D%7B13%7D" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." />, dengan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?x" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> dan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?y" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> adalah bilangan bulat, tentukan nilai dari <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?x" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> dan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?y" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> yang memenuhi!</p><p class="MsoNormal"><b>Penyelesaian:</b></p><p class="MsoNormal"><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgQ-zLmYP3hdo8zSHdnMyqCi4DD2nv81UjNja9DciGlGBGdcy4JXnT-C_xNlXNWS8ydTc7tXn0cA0ztx9xhycQ_1wh3xjtYDnCEyZoa74liQVroY5jp9r7SiQRY49ksXt53pX2ml_wSqTleLbPOsPLEBtw4gACPrsbKkIHIblU_24HzHme6fmZEg4xG4g" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="138" data-original-width="115" height="163" src="https://blogger.googleusercontent.com/img/a/AVvXsEgQ-zLmYP3hdo8zSHdnMyqCi4DD2nv81UjNja9DciGlGBGdcy4JXnT-C_xNlXNWS8ydTc7tXn0cA0ztx9xhycQ_1wh3xjtYDnCEyZoa74liQVroY5jp9r7SiQRY49ksXt53pX2ml_wSqTleLbPOsPLEBtw4gACPrsbKkIHIblU_24HzHme6fmZEg4xG4g=w136-h163" width="136" /></a></b></div><b><br /><br /></b><p></p><p class="MsoNormal"><b><br /></b></p><p class="MsoNormal"><b><br /></b></p><p class="MsoNormal"><b><br /></b></p><p class="MsoNormal"><b><br /></b></p><p class="MsoNormal"></p><p class="MsoNormal"><span style="mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Dengan memindah ruaskan </span><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?x-13" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> menjadi,</p><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh5ZYFKkRsSBWDgHzq1EVZP2YmaLD-I9_nBj3b2pyZ1fOGINdlElBv1nbZ8rJgfYlJeGR6WIjlaqEvpGWQUvmzm7An-rKaHILlbIxl-quRviukO1_ab19dg5bbD6mHfP-oKAsM8t10Ny_piIUQM3n218CtHpemJ_pIGPYlQ2YrO2D1ZqBEEv607a656CQ" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="37" data-original-width="77" height="49" src="https://blogger.googleusercontent.com/img/a/AVvXsEh5ZYFKkRsSBWDgHzq1EVZP2YmaLD-I9_nBj3b2pyZ1fOGINdlElBv1nbZ8rJgfYlJeGR6WIjlaqEvpGWQUvmzm7An-rKaHILlbIxl-quRviukO1_ab19dg5bbD6mHfP-oKAsM8t10Ny_piIUQM3n218CtHpemJ_pIGPYlQ2YrO2D1ZqBEEv607a656CQ=w102-h49" width="102" /></a></div><br /><br /><p></p><p class="MsoNormal"><br /></p><p class="MsoNormal"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;">Langkah
berikutnya adalah dengan sedikit melakukan manipulasi, sehingga menjadi,</span></p><p class="MsoNormal"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg5-shcV7e_Bdie9-JNexzpmMnxPQavI9dhkJacLluOtzgBZ15w_QKV-ziuRkRLRzaKAId5TerAVHjEWdq_bJwIv3BxVIKhv38c5dMGpzQVhmfMFot270QwzIi_-U6cy07H9FqglnbVTQdotkhVVACFr5ZGGoMARdwDdDdqUBzqcDEDUZbNTK3R3uEGMg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="126" data-original-width="146" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEg5-shcV7e_Bdie9-JNexzpmMnxPQavI9dhkJacLluOtzgBZ15w_QKV-ziuRkRLRzaKAId5TerAVHjEWdq_bJwIv3BxVIKhv38c5dMGpzQVhmfMFot270QwzIi_-U6cy07H9FqglnbVTQdotkhVVACFr5ZGGoMARdwDdDdqUBzqcDEDUZbNTK3R3uEGMg=w209-h180" width="209" /></a></div><br /><br /><p></p><p class="MsoNormal"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><br /></span></p><p class="MsoNormal"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><br /></span></p><p class="MsoNormal"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><br /></span></p><p class="MsoNormal"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><br /></span></p><p class="MsoNormal"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><br /></span></p><p class="MsoNormal"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><span style="font-size: 11pt; line-height: 115%;">Dari
persamaan terakhir, kita ketahui bahwa 13 merupakan bilangan bulat, sehingga
kita hanya perlu menentukan nilai dari </span></span><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?x-13" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"> </span><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;">agar apabila membagi 169 menjadi
bilangan bulat pula, maka nilai yang memenuhi adalah -169, -13, -1, 1, 13, 169.
Langkah terakhir adalah menentukan nilai dari x dengan,</span></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiFK8584ioldMde1Ca8s3vscZiciwBx4yrZJkvVKO9D0rmvqOfPU2QFzHRD4Wt23P3zMERxYcm2cf9zwlYKojQvnzgigWcAYTCW4q8pl14OjaUpL8HmabRWs-yE4E_biWdFy-4PNZ0r4laNR3S0EC-RdgZDXDhKi_lDoYdE_pHrMUTnnyYgtUJXLi2gCA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="266" data-original-width="160" height="317" src="https://blogger.googleusercontent.com/img/a/AVvXsEiFK8584ioldMde1Ca8s3vscZiciwBx4yrZJkvVKO9D0rmvqOfPU2QFzHRD4Wt23P3zMERxYcm2cf9zwlYKojQvnzgigWcAYTCW4q8pl14OjaUpL8HmabRWs-yE4E_biWdFy-4PNZ0r4laNR3S0EC-RdgZDXDhKi_lDoYdE_pHrMUTnnyYgtUJXLi2gCA=w190-h317" width="190" /></a></div><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"><br /></span></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"><br /></span></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"><br /></span></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"><br /></span></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"><br /></span></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"><br /></span></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"><br /></span></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"><br /></span></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"><br /></span></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"><br /></span></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;"><br /></span></p>Lakukan terus menerus hingga <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?x-13%20%3D%20169" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." />, maka kamu akan mendapatkan semua solusi x dan y bilangan bulat pada operasi tersebut.<p></p><p class="MsoNormal"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; line-height: 115%;">Mungkin itu dulu pemaparan saya guys mengenai bagaimana menentukan penyelesaian bilangan bulat pada operasi pecahan, saya tunggu kritik dan sarannya dengan mengisi komentar dibawahnya. Kutunggu ya!<br /><br /></span></p><p class="MsoNormal"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><br /></span></p><p class="MsoNormal"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"></span></p><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /><p></p><b></b><p></p>Unknownnoreply@blogger.com0Alun Alun Malang, Jl. Merdeka Selatan, Kiduldalem, Kec. Klojen, Kota Malang, Jawa Timur 65119, Indonesia-7.9826145 112.6308113-8.0166148171332861 112.59647902460938 -7.9486141828667147 112.66514357539063tag:blogger.com,1999:blog-5861188404368302411.post-70672596633980512252023-04-18T19:03:00.004-07:002023-04-18T20:48:20.966-07:00Menentukan Solusi Persamaan Linier Dengan Persamaan Diophantine <p></p><div class="separator" style="clear: both; text-align: left;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjW0TEKb6GK2qdFiFZXUm1JBiwZJtdMcy5z44iKOtle3WSfiDQ8WWN3ZCkvSDpQx4EUJpE7D9PzmEQcYrBlzFaRH8i7j00L4K_XQv31-G9-84sg7aBTc35j999vUOvC7hQYcv9bohPIq7S2TWDQeaneTmjc8_CY_H5LkhCoZFvj6Yq5BNmxVSP7yHsNxQ" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="279" data-original-width="237" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEjW0TEKb6GK2qdFiFZXUm1JBiwZJtdMcy5z44iKOtle3WSfiDQ8WWN3ZCkvSDpQx4EUJpE7D9PzmEQcYrBlzFaRH8i7j00L4K_XQv31-G9-84sg7aBTc35j999vUOvC7hQYcv9bohPIq7S2TWDQeaneTmjc8_CY_H5LkhCoZFvj6Yq5BNmxVSP7yHsNxQ" width="204" /></a></div><br /> Assalamualaikum Teman teman!<p></p><p class="MsoNormal"><o:p></o:p></p>
<span face=""Calibri","sans-serif"" style="font-size: 11pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;">Bagaimana kabar kalian semua? Saya harap kabar
kalian baik baik dan sehat selalu. Pada persamaan kali ini saya ingin membahas
mengenai persamaan diophantin dan bagaimana menentukan penyelesaiaan persamaan linier dengan bilangan bulat sebagai penyelesaiannya. Bentuk umum dari persamaan diophantin ini dipakai pada persamaan linier biasa </span><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?Ax&plus;By%3DC" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> dimana <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?A%2CB%2CC%20%5Cin%20Z" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> <span face=""Calibri","sans-serif"" style="font-size: 11pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;">dan
FPB dari <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?A" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></span><span face=""Calibri","sans-serif"" style="font-size: 11pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"> dan </span><span face=""Calibri","sans-serif"" style="font-size: 11pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?B" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> haruslah membagi </span><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?C" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." />.<span face=""Calibri","sans-serif"" style="font-size: 11pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;">Jadi,
Pada persamaan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?2x&plus;6y%3D9" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> <span style="font-size: 11pt; line-height: 115%;">kita
tidak dapat menentukan penyelesaian dari </span><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?x" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> dan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?y" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> <span style="font-size: 11pt; line-height: 115%;">yang
berupa bilangan bulat karena FPB dari 2 dan 6 yakni 2 tidak dapat </span><span style="font-size: 11pt; line-height: 115%;"> membagi
9. Langsung saja kita coba bahas sebuah soal sebagai berikut:<br /></span></span><div><span face=""Calibri","sans-serif"" style="font-size: 11pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><span style="font-size: 11pt;">Tentukan Penyelesaian
dari </span></span><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?31x&plus;19%3D71" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> !</div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt; line-height: 115%;">Langkah
pertama kita cek FPB 31 dan 19 terlebih dahulu, yakni 1 dan 1 membagi 71,
sehingga terdapat penyelesaian bilangan bulat pada </span><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?x" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /><span face="Calibri, "sans-serif"" style="font-size: 11pt; line-height: 115%;"> dan </span><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?y" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /><span face="Calibri, "sans-serif"" style="font-size: 11pt; line-height: 115%;">. Selanjutnya kita gunakan algoritma euclide untuk menyederhanakan
persamaan tersebut.</span><span face="Calibri, "sans-serif"" style="font-size: 11pt;"> </span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhSAInK8quasCtSx8g-4NxjZj3hEVorLDhxRFXPRlV5ei6xR4tqZ1ls-2ClRGEQz9fDFavV70sbQfR5BjIx2G2ioQ8AYhuv6TWotyNrGeMlTxJ6bsUXZgROl694vgC9iH8Si3bwwaqbam_m3wjsWcCJ0deUzVH8vD464E_tUt3Wn7l-EkDgGzr8wfOfRg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="186" data-original-width="136" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEhSAInK8quasCtSx8g-4NxjZj3hEVorLDhxRFXPRlV5ei6xR4tqZ1ls-2ClRGEQz9fDFavV70sbQfR5BjIx2G2ioQ8AYhuv6TWotyNrGeMlTxJ6bsUXZgROl694vgC9iH8Si3bwwaqbam_m3wjsWcCJ0deUzVH8vD464E_tUt3Wn7l-EkDgGzr8wfOfRg" width="175" /></a></div><br /><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;">Berikutnya
lakukan manipulasi atas algoritma euclid tersebut</span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiibkMAsvRqOnsD5F0KE67kP2bdXn9gmyoVPXQdtAsz0bWfonUzg4RWjvWJ_p3nPStufrCWDM6b3VLTZSgc99hZL_12hADvqtpLfGhWg2PH1a77VG_NYMtJ_7uC09QJ6DosJlRzgLHTCTE6aEmvL9B2vrY0QzQLRmnTkugelOMYifHNuYLmlTXDjzV28A" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="421" data-original-width="194" height="546" src="https://blogger.googleusercontent.com/img/a/AVvXsEiibkMAsvRqOnsD5F0KE67kP2bdXn9gmyoVPXQdtAsz0bWfonUzg4RWjvWJ_p3nPStufrCWDM6b3VLTZSgc99hZL_12hADvqtpLfGhWg2PH1a77VG_NYMtJ_7uC09QJ6DosJlRzgLHTCTE6aEmvL9B2vrY0QzQLRmnTkugelOMYifHNuYLmlTXDjzV28A=w253-h546" width="253" /></a></div><br /><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face=""Calibri","sans-serif"" style="font-size: 11pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;"><br /></span></div><div><span face=""Calibri","sans-serif"" style="font-size: 11pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;">Pada persamaan mula
mula adalah </span><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?31x&plus;19y%3D71" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> <span face="Calibri, "sans-serif"" style="font-size: 11pt;">maka
kita harus kalikan dengan 71 untuk mendapatkan hasil yang ekuivalen, maka</span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgF1UXeP7FEwN7eANPOB2JwafbXm8MxB4w9C-UWViCT81p_-pcSLkSrdknMD02_G5TAHEIAJOAMNz-bNaeoB9hMQHTwLfrVUkirdkxZwCimIrWz7xndhL4kK30COwfzv1Wn4nn3AaES54CRNEB3drP85-ewAxbttBVGqvtSTI77g5eDc_MMMqg2HrrNJA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="61" data-original-width="166" height="75" src="https://blogger.googleusercontent.com/img/a/AVvXsEgF1UXeP7FEwN7eANPOB2JwafbXm8MxB4w9C-UWViCT81p_-pcSLkSrdknMD02_G5TAHEIAJOAMNz-bNaeoB9hMQHTwLfrVUkirdkxZwCimIrWz7xndhL4kK30COwfzv1Wn4nn3AaES54CRNEB3drP85-ewAxbttBVGqvtSTI77g5eDc_MMMqg2HrrNJA=w203-h75" width="203" /></a></div><br /><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><span face="Calibri, "sans-serif"" style="font-size: 11pt;"><br /></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjI_Cu2PUhfBjlj4Veh1YLbCtGff_8c4Bzy59hQJcPT4ZqNKXmvZS-Dyu_D96iNT6XlDoMSZ5lindYf0yVR86jJMSk3QUI0mM8qc-wsiQJZ6CnRax5oBHGqxh-_L_paYnihp0GmZ0Mu8Rb67PO9_Q53m33ST0I8aZmSzJpjF__HjsiVDhL9Rzh1C2ZqtA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="134" data-original-width="617" height="138" src="https://blogger.googleusercontent.com/img/a/AVvXsEjI_Cu2PUhfBjlj4Veh1YLbCtGff_8c4Bzy59hQJcPT4ZqNKXmvZS-Dyu_D96iNT6XlDoMSZ5lindYf0yVR86jJMSk3QUI0mM8qc-wsiQJZ6CnRax5oBHGqxh-_L_paYnihp0GmZ0Mu8Rb67PO9_Q53m33ST0I8aZmSzJpjF__HjsiVDhL9Rzh1C2ZqtA=w640-h138" width="640" /></a><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjI_Cu2PUhfBjlj4Veh1YLbCtGff_8c4Bzy59hQJcPT4ZqNKXmvZS-Dyu_D96iNT6XlDoMSZ5lindYf0yVR86jJMSk3QUI0mM8qc-wsiQJZ6CnRax5oBHGqxh-_L_paYnihp0GmZ0Mu8Rb67PO9_Q53m33ST0I8aZmSzJpjF__HjsiVDhL9Rzh1C2ZqtA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjI_Cu2PUhfBjlj4Veh1YLbCtGff_8c4Bzy59hQJcPT4ZqNKXmvZS-Dyu_D96iNT6XlDoMSZ5lindYf0yVR86jJMSk3QUI0mM8qc-wsiQJZ6CnRax5oBHGqxh-_L_paYnihp0GmZ0Mu8Rb67PO9_Q53m33ST0I8aZmSzJpjF__HjsiVDhL9Rzh1C2ZqtA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjI_Cu2PUhfBjlj4Veh1YLbCtGff_8c4Bzy59hQJcPT4ZqNKXmvZS-Dyu_D96iNT6XlDoMSZ5lindYf0yVR86jJMSk3QUI0mM8qc-wsiQJZ6CnRax5oBHGqxh-_L_paYnihp0GmZ0Mu8Rb67PO9_Q53m33ST0I8aZmSzJpjF__HjsiVDhL9Rzh1C2ZqtA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjI_Cu2PUhfBjlj4Veh1YLbCtGff_8c4Bzy59hQJcPT4ZqNKXmvZS-Dyu_D96iNT6XlDoMSZ5lindYf0yVR86jJMSk3QUI0mM8qc-wsiQJZ6CnRax5oBHGqxh-_L_paYnihp0GmZ0Mu8Rb67PO9_Q53m33ST0I8aZmSzJpjF__HjsiVDhL9Rzh1C2ZqtA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a></div><br /><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><p class="MsoNormal"><span style="mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Bagaimana dengan pembahasan mengenai
persamaan diophantine? Mudah bukan? Jika ada yang kurang jelas, silahkan
tinggalkan koment, terima kasih.<o:p></o:p></span></p><br /></div>Unknownnoreply@blogger.com0Jl. Letjend S. Parman No.72, Purwantoro, Kec. Blimbing, Kota Malang, Jawa Timur 65125, Indonesia-7.9493213999999988 112.6399082-9.0369252173709533 111.5412753875 -6.8617175826290451 113.7385410125tag:blogger.com,1999:blog-5861188404368302411.post-39277044252208457232023-04-17T04:19:00.004-07:002023-04-17T05:00:33.125-07:00Teorema Sisa China<p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhBzG5QVPZwkgYFQjHeDObbXS5KlpnxhMv06gIoKTmYzy9pMOuMZ38-veqRLMTJLprG26OwZv2WmgAE-JnUb5_a4yuMgIyJ-XsN1-pg-Wp1GIqGQDb9k9SzjL54YQztJaAlTOEYbUql0EJhQ0JkPilqJBB6jLNtY32_OhGKM1vAM6xe5iHYkZXe0mPsMw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="175" data-original-width="351" height="160" src="https://blogger.googleusercontent.com/img/a/AVvXsEhBzG5QVPZwkgYFQjHeDObbXS5KlpnxhMv06gIoKTmYzy9pMOuMZ38-veqRLMTJLprG26OwZv2WmgAE-JnUb5_a4yuMgIyJ-XsN1-pg-Wp1GIqGQDb9k9SzjL54YQztJaAlTOEYbUql0EJhQ0JkPilqJBB6jLNtY32_OhGKM1vAM6xe5iHYkZXe0mPsMw" width="320" /></a></div><br />Assalamualaikum Math Lovers,<p></p><p>Apa kabar kalian semuanya? Saya harap kalian sehat selalu ya.</p><p>Pada postingan kali ini saya ingin berbagi kepada kalian semua mengenai teorema sisa cina(CRT). Mungkin beberapa dari kalian pembahasan ini bukanlah yang pertama, namun tak ada salahnya kita coba ulas lagi. Berdasarkan https://en.wikipedia.org/ , dalam matematika, teorema sisa Cina menyatakan bahwa jika seseorang mengetahui sisa pembagian Euclidean dari bilangan bulat n dengan beberapa bilangan bulat, maka seseorang dapat menentukan secara unik sisa pembagian n dengan produk bilangan bulat ini, dengan syarat bahwa pembagi adalah koprime berpasangan (tidak ada dua pembagi yang berbagi faktor persekutuan selain 1). Dengan demikian, maka syarat utama dari CRT ini adalah beberapa pembagi haruslah memiliki faktor persekutuan 1. Bagaimana dalam menentukannya? Simak contoh soal berikut ini!</p><p>Menurut catatan sejarah, masalah pertama mengenai CRT tertulis pada buku karya Jenderal Sun Tzu (544 - 496 SM). Dalam bukunya yang berjudul Sun-Tzu-Suan-Ching ia menuliskan persoalan sebagai berikut:</p><p>"Ada barang yang jumlahnya tidak diketahui. Jika kita membaginya dengan 3 maka bersisa 2, jika kita membaginya dengan 5 maka bersisa 3, dan jika kita membaginya dengan7 maka bersisa 2. Berapakah jumlah barang tersebut?</p><p>Langkah pertama, kalimat dalam pernyataan Jenderal Sun Tzu kita nyatakan dalam bentuk modulo menjadi,</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiDCZcdJ8zZtcxYCucVvrfs5xkPensD29S-XpRbxmek-_XE7kJZYE3R9yAfRmgmwz11kxdMg30Eb9DLJIoCf2Z3zPy2cAXA83GR6LLr7U6RkESPoCANBY5uXN8-JiYRv7qxInEVXRqGx5YylnxCBxCPOA2ScM1EyFy4MUrzLLXB5UxmXgwMW_GvWibSHg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="61" data-original-width="104" height="62" src="https://blogger.googleusercontent.com/img/a/AVvXsEiDCZcdJ8zZtcxYCucVvrfs5xkPensD29S-XpRbxmek-_XE7kJZYE3R9yAfRmgmwz11kxdMg30Eb9DLJIoCf2Z3zPy2cAXA83GR6LLr7U6RkESPoCANBY5uXN8-JiYRv7qxInEVXRqGx5YylnxCBxCPOA2ScM1EyFy4MUrzLLXB5UxmXgwMW_GvWibSHg=w106-h62" width="106" /></a><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiDCZcdJ8zZtcxYCucVvrfs5xkPensD29S-XpRbxmek-_XE7kJZYE3R9yAfRmgmwz11kxdMg30Eb9DLJIoCf2Z3zPy2cAXA83GR6LLr7U6RkESPoCANBY5uXN8-JiYRv7qxInEVXRqGx5YylnxCBxCPOA2ScM1EyFy4MUrzLLXB5UxmXgwMW_GvWibSHg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiDCZcdJ8zZtcxYCucVvrfs5xkPensD29S-XpRbxmek-_XE7kJZYE3R9yAfRmgmwz11kxdMg30Eb9DLJIoCf2Z3zPy2cAXA83GR6LLr7U6RkESPoCANBY5uXN8-JiYRv7qxInEVXRqGx5YylnxCBxCPOA2ScM1EyFy4MUrzLLXB5UxmXgwMW_GvWibSHg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a></div><br /><br /><p></p><p><br /></p><p>Karena FPB dari masing masing pembagi, yakni 3,5, dan 7 adalah 1, maka kita dapat gunakan CRT ini. Langkah berikutnya adalah menentukan KPK dari 3,5, dan 7, yakni 105. Langkah berikutnya adalah menentukan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?x_%7B1%7D%2Cx_%7B2%7D%2Cx_%7B3%7D" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> dengan membagi 105 dengan masing masing pembaginya, yakni: </p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiDp0w-3VmDJm6ScDrqyP8dFDUmmDZU3xrwCLXfC-wH53O_ZISo5-1sVlG3TM-N3kY_kxklq95YtJvWBEZPJYLesamOJAAQKUElJruPshLiSUvVqrYToZ0h_R9nvxl0e21tfPw8aTbREkFMBAhETSR-fvXzGQRMWzIkR_Za-yMpuJSfBfa4Z3g8JU4vBQ" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="87" data-original-width="115" height="104" src="https://blogger.googleusercontent.com/img/a/AVvXsEiDp0w-3VmDJm6ScDrqyP8dFDUmmDZU3xrwCLXfC-wH53O_ZISo5-1sVlG3TM-N3kY_kxklq95YtJvWBEZPJYLesamOJAAQKUElJruPshLiSUvVqrYToZ0h_R9nvxl0e21tfPw8aTbREkFMBAhETSR-fvXzGQRMWzIkR_Za-yMpuJSfBfa4Z3g8JU4vBQ=w138-h104" width="138" /></a></div><br /><br /><p></p><p><br /></p><p><br /></p><p>Kemudian masing masing nilai dari <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?x_%7B1%7D%2Cx_%7B2%7D%2Cx_%7B3%7D" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> kita kalikan dengan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?y_%7B1%7D%2Cy_%7B2%7D%2Cy_%7B3%7D" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> menjadi</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgdFbd7Ifpy44kTbQwswt38bS5EoAv1QkmjKs5YR2t5wv5b8yc538ZORgd5YLRCMKSAdqdJ2Z-VYYnkQqIIcsVgCB10E6yIwLXQqD4ovnh4Itd2bPsTYpZz1bVULROwqpO1vwbO37UXMYetS7OcTA09Fj1tQaDnfS2gn_Ix1p4CvCTTAGGcPh5zS3tFxA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="62" data-original-width="52" height="70" src="https://blogger.googleusercontent.com/img/a/AVvXsEgdFbd7Ifpy44kTbQwswt38bS5EoAv1QkmjKs5YR2t5wv5b8yc538ZORgd5YLRCMKSAdqdJ2Z-VYYnkQqIIcsVgCB10E6yIwLXQqD4ovnh4Itd2bPsTYpZz1bVULROwqpO1vwbO37UXMYetS7OcTA09Fj1tQaDnfS2gn_Ix1p4CvCTTAGGcPh5zS3tFxA=w59-h70" width="59" /></a></div><br /><br /><p></p><p><br /></p><p>Kemudian kita jadikan bagi dengan masing masing pembagi yakni 3,5, dan 7 dengan sisa haruslah 1, maka</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiSCWer2N52oFpyc_q79MPMhhgRzzCLcN6lLn1Rc9wIB9iJUtXM-MYdd3pw_hd11tRBrkzM-xozM4xrJyVSO8qk8vBQIaKQyWIRKRzh2_LW3-J8DkzPXL4C46154lxUenSoZjFbfpGpj3AGBylz7LFleSFVyleXf0S0lOPjdPaAurTKSDVIv08g8X7GvQ" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="303" data-original-width="330" height="312" src="https://blogger.googleusercontent.com/img/a/AVvXsEiSCWer2N52oFpyc_q79MPMhhgRzzCLcN6lLn1Rc9wIB9iJUtXM-MYdd3pw_hd11tRBrkzM-xozM4xrJyVSO8qk8vBQIaKQyWIRKRzh2_LW3-J8DkzPXL4C46154lxUenSoZjFbfpGpj3AGBylz7LFleSFVyleXf0S0lOPjdPaAurTKSDVIv08g8X7GvQ=w340-h312" width="340" /></a></div><br /><br /><p></p><p><br /></p><p><br /></p><p style="text-align: justify;"><br /></p><p style="text-align: justify;">Tahap terakhir adalah kalikan </p><p style="text-align: justify;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhgbhku2kxiXqzexKJ_sBFToL18HmKyKtaGr9xJvOyA7DhuQoM-1r3SATNMT_bJXjhueGZDSc5RWNTe2ko5L6dCJ_1811ZVzO5_Zv_rsxxSyEWwXOx7cQVhwIZ0m-DDB1VjQ3I0YAU8EHWipc1W-hLzbs18tWxbJ63lRUteVBibE-7Hxb1fRCCAxTLDbg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="62" data-original-width="191" height="67" src="https://blogger.googleusercontent.com/img/a/AVvXsEhgbhku2kxiXqzexKJ_sBFToL18HmKyKtaGr9xJvOyA7DhuQoM-1r3SATNMT_bJXjhueGZDSc5RWNTe2ko5L6dCJ_1811ZVzO5_Zv_rsxxSyEWwXOx7cQVhwIZ0m-DDB1VjQ3I0YAU8EHWipc1W-hLzbs18tWxbJ63lRUteVBibE-7Hxb1fRCCAxTLDbg=w204-h67" width="204" /></a></div><br /><br /><p></p><p style="text-align: justify;"><br /></p><p style="text-align: justify;">Dengan <img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?s_%7B1%7D%2Cs_%7B2%7D%2Cs_%7B3%7D" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /> adalah sisa dari pembagian 3,5, dan 7. Kemudian tambahkan ketiganya</p><p style="text-align: justify;">140+63+30=233</p><p style="text-align: justify;">Sehingga banyak barang yang dimaksud kita nyatakan dengan</p><p style="text-align: justify;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEi6HR20qb5AdbyT89p1cXOproFaYP-R39G__VgtGuz0W9f-YDGYoXkVi73yAd1RWTBl9tTGbSQxOFe46OnmY8iP7jgxPOJEdrDXkb4cktO3b7XXqxyRWAXMFaQ6n0Eqzwc38ryZIX-Xds0vQolhSUAcogrrybNjb3aSAlOqQcYgjXTx-aPrD4MwWXKYfw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="24" data-original-width="468" height="28" src="https://blogger.googleusercontent.com/img/a/AVvXsEi6HR20qb5AdbyT89p1cXOproFaYP-R39G__VgtGuz0W9f-YDGYoXkVi73yAd1RWTBl9tTGbSQxOFe46OnmY8iP7jgxPOJEdrDXkb4cktO3b7XXqxyRWAXMFaQ6n0Eqzwc38ryZIX-Xds0vQolhSUAcogrrybNjb3aSAlOqQcYgjXTx-aPrD4MwWXKYfw=w563-h28" width="563" /></a></div><p style="text-align: justify;"><br /></p><p style="text-align: justify;"><br /></p><span face=""Calibri","sans-serif"" style="font-size: 11pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;">Jadi
banyak barang yang mungkin adalah 23, 128, 233, dst.</span><p></p><p style="text-align: justify;"><span face="Calibri, sans-serif"><span style="font-size: 14.6667px;">Bagaimana? sudah paham belum? Jika kalian mengalami kesulitan silahkan komentar di bawah ya, terima kasih.<br /></span></span><br /></p><p style="text-align: justify;"><br /></p><p style="text-align: justify;"><br /></p><p><br /></p>Unknownnoreply@blogger.com1XMP6+4FF, Jl. Buring Indah Regency VI, Buring, Kec. Kedungkandang, Kota Malang, Jawa Timur 65136, Indonesia-8.0146997 112.6611823-10.193119619460267 110.463916675 -5.8362797805397317 114.858447925tag:blogger.com,1999:blog-5861188404368302411.post-38228517539376689592023-04-15T22:28:00.003-07:002023-04-15T22:28:00.158-07:00Pembahasan Beberapa Soal HKIMO tahun 2022 Heat Round<p> Assalamualaikum,Hai Mathlovers semua, pada kesempatan kali ini aku Mawan ingin berbagi dengan kalian mengenai pembahasan beberapa soal HKIMO Secondary One yang heat round. HKIMO, disebut sebagai Olimpiade Matematika Internasional Hong Kong, dikembangkan oleh mantan Ketua Tim Olimpiade Matematika Hong Kong Mr Wong Tin Chun. Tujuan pengembangan HKIMO adalah untuk mempromosikan Olimpiade Matematika di seluruh dunia. Makalah ujian terdiri dari 5 topik utama: Pemikiran Logis, Aritmatika (Bagian Taman Kanak-Kanak / Primer) / Aljabar (Bagian Sekunder), Teori Bilangan, Geometri & Kombinatorika. (https://www.hongkongimo.com/)</p><p>Itu saja sedikit pengenalan dari HKIMO dan tidak usah berlama lama lagi, yuk kita bahas beberapa soal yang terdapat pada HKIMO tahun 2022 nya</p><p>1. Ada beberapa ayam dan kelinci di dalam kandang. Jumlah ayam adalah 4 kali jumlah kelinci. </p><p> Jumlah kaki ayam 280 lebih sedikit daripada kaki kelinci. Berapa banyak kelinci yang ada?</p><p><b>Pembahasan</b></p><p></p><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhNIZX6EYYXKic0sBuhxAT08-tYoJBfFpSHfFyxxbb5WqUqvqHGVV89I6ZqR8YcCbmJfm7N5bNSrxjJxUXXt-RS0Rl_9uWZiC1AFugwK-Tp-SlU7YjUo6rlwyBzRUBb3KKLrgwAWxtheU4IRO0nJM12_22MqkpWWXH3XM7cVWjLpLPtUnCWAL2G-MfObw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="389" data-original-width="453" height="344" src="https://blogger.googleusercontent.com/img/a/AVvXsEhNIZX6EYYXKic0sBuhxAT08-tYoJBfFpSHfFyxxbb5WqUqvqHGVV89I6ZqR8YcCbmJfm7N5bNSrxjJxUXXt-RS0Rl_9uWZiC1AFugwK-Tp-SlU7YjUo6rlwyBzRUBb3KKLrgwAWxtheU4IRO0nJM12_22MqkpWWXH3XM7cVWjLpLPtUnCWAL2G-MfObw=w400-h344" width="400" /></a></div><br /><br /><p></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p>2. Andi pergi ke barat sejauh 20 km, lalu ke utara sejauh 21 km. Berapa jauh dia sekarang dari posisi semula?</p><p><b>Pembahasan</b></p><p>Dengan menggunakan konsep phytagoras kita dapat tentukan,</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhUm8aYsaHY6z5Vmr5I1CBhT0xu-zti3DPEFq9fqfQnJYGNHNWVucGwj087QdrvB0qV6PeaDzEAA0TIQ1lF3RmkL_N0EBA8ygfGYoADlW6uQ1AG33bxdtSKtYVQK1oTb1ATP1Sm2vrjizCE6u_jfsHaBjFZc-2t0wl5P7I6wQqwQmTEILC6evGPdwhCrQ" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="29" data-original-width="287" height="32" src="https://blogger.googleusercontent.com/img/a/AVvXsEhUm8aYsaHY6z5Vmr5I1CBhT0xu-zti3DPEFq9fqfQnJYGNHNWVucGwj087QdrvB0qV6PeaDzEAA0TIQ1lF3RmkL_N0EBA8ygfGYoADlW6uQ1AG33bxdtSKtYVQK1oTb1ATP1Sm2vrjizCE6u_jfsHaBjFZc-2t0wl5P7I6wQqwQmTEILC6evGPdwhCrQ=w320-h32" width="320" /></a></div><br /><br /><p></p><p>3. Tentukan rata rata dari barisan berikut: 2002,2004,2006, ... , 2998, 3000, 3002!</p><p><b>Pembahasan</b></p><p> </p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgfo2YrigEeJ_i-oGuaYEdRVnDxPcbjqbMnj4IMyjfeNz93-PbQoQRINOnmzIuNrqReAFeHuDEZc2JJ_AzgBB1GRxdY_NrdBaGtvJ3X9KWg1WbzY2ocTuiq3u3K9HGXF2yJMMOIMI3Hw_ckADfWybyJ8vZiLAx-XydjUSPF5B8ezheMPtlYQ2bXXMN8GA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="349" data-original-width="600" height="373" src="https://blogger.googleusercontent.com/img/a/AVvXsEgfo2YrigEeJ_i-oGuaYEdRVnDxPcbjqbMnj4IMyjfeNz93-PbQoQRINOnmzIuNrqReAFeHuDEZc2JJ_AzgBB1GRxdY_NrdBaGtvJ3X9KWg1WbzY2ocTuiq3u3K9HGXF2yJMMOIMI3Hw_ckADfWybyJ8vZiLAx-XydjUSPF5B8ezheMPtlYQ2bXXMN8GA=w640-h373" width="640" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiFLvVYHQ_h_WAdcv0mO2Bp-1s4ZWns3nX4wIh1E4HXUbK7gB38yDH0ToOoopeKD0Fh5uiOrvDceSeu0zQywzhsnrmRjU1xTx5R67FwjIYnzejbdTEyFMIuwlu-cd6l_B2_Dnl9JxGPnwJ8GtKezTQ5NqwwrMUIj6m17PvTxRRZkYRSUI1gSQRqx_mlnQ" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="173" data-original-width="420" height="187" src="https://blogger.googleusercontent.com/img/a/AVvXsEiFLvVYHQ_h_WAdcv0mO2Bp-1s4ZWns3nX4wIh1E4HXUbK7gB38yDH0ToOoopeKD0Fh5uiOrvDceSeu0zQywzhsnrmRjU1xTx5R67FwjIYnzejbdTEyFMIuwlu-cd6l_B2_Dnl9JxGPnwJ8GtKezTQ5NqwwrMUIj6m17PvTxRRZkYRSUI1gSQRqx_mlnQ=w454-h187" width="454" /></a></div><br /><br /></div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhskLxYmmc82kQsy6THxUQdXjJCRZWfdjtXjfcOnk7iuIXESbuTZ6_CBnbIib1hz6ueMarsifyl-6B5Fu9UzMa371eRLT917ioqVsfMXcZd4w_oKW83cwic65IMXxyGAGw5PXhERVv7uCjJDdPNJy2J9UBRdoscd5MpES7tZSoFRrvApv_pR9dG6rMiUg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="34" data-original-width="366" height="38" src="https://blogger.googleusercontent.com/img/a/AVvXsEhskLxYmmc82kQsy6THxUQdXjJCRZWfdjtXjfcOnk7iuIXESbuTZ6_CBnbIib1hz6ueMarsifyl-6B5Fu9UzMa371eRLT917ioqVsfMXcZd4w_oKW83cwic65IMXxyGAGw5PXhERVv7uCjJDdPNJy2J9UBRdoscd5MpES7tZSoFRrvApv_pR9dG6rMiUg=w400-h38" width="400" /></a></div></div><div class="separator" style="clear: both; text-align: left;"><b>Pembahasan</b></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;">Agar
ruas kanan bernilai 0, maka ruas kiri haruslah 0 juga dan nilai dari bilangan
mutlak juga haruslah 0, maka</span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><br /></span></div><div class="separator" style="clear: both; text-align: left;"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhdGzL9jKoU4b9rXg1P6KNU1sRn1w0L6nwMCMQrTZj1qN9_X37Kofz5nj5KAe10yg09UpBN7a8sBPWcNWw-4rRxdfhAp2nVcJnfbzMNcTmsJHvgxG1lkk9613tuDTo5WqcxQSczGx4dPk4An0LAB-rV33sP533Q34JEfUYmpjJYxKVm2TIpcqTtcUXnRw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="324" data-original-width="163" height="320" src="https://blogger.googleusercontent.com/img/a/AVvXsEhdGzL9jKoU4b9rXg1P6KNU1sRn1w0L6nwMCMQrTZj1qN9_X37Kofz5nj5KAe10yg09UpBN7a8sBPWcNWw-4rRxdfhAp2nVcJnfbzMNcTmsJHvgxG1lkk9613tuDTo5WqcxQSczGx4dPk4An0LAB-rV33sP533Q34JEfUYmpjJYxKVm2TIpcqTtcUXnRw=w161-h320" width="161" /></a></div><br /><br /></span></div><br /><p></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiWERwXQ7KOZmrMzs9aT9Nh0UU9m7v7lTHf_FOk1j8dLoaG213G5kmlzFJnY4bxy76HkZLpmo1VibxZxXEHrRqzlPlp_MpUx2BHtpy6t3XxQYEhbKx78U3NLaytUbMom_Ct5zVldZ0X_STHJvNd4IMQYYgp6g0OhlYbErYVkRoxjLFMPD3XD7t8zaNEww" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="43" data-original-width="617" height="44" src="https://blogger.googleusercontent.com/img/a/AVvXsEiWERwXQ7KOZmrMzs9aT9Nh0UU9m7v7lTHf_FOk1j8dLoaG213G5kmlzFJnY4bxy76HkZLpmo1VibxZxXEHrRqzlPlp_MpUx2BHtpy6t3XxQYEhbKx78U3NLaytUbMom_Ct5zVldZ0X_STHJvNd4IMQYYgp6g0OhlYbErYVkRoxjLFMPD3XD7t8zaNEww=w640-h44" width="640" /></a></div><p><br /></p><p><br /></p><b>Pembahasan</b><p></p><p></p><div class="separator" style="clear: both; font-weight: bold; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiXGsjSsKi29lzDccd6ONzhN-7WXpxBfRZ88whwNsZBDS6Lv8G-QMpR8WPx71md6m1HoY-8w-80Hw8Dz5SxmzIsQCT1rZh1hCA8QIoxo5f3NqDzPJVYc95tzuJnWtcdi2mPP6S3MiN2XzQ4QT-HFyecUMz8BUEVhvAh-gqb2HN4VIrg07kcJ3cG-nkGWw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="162" data-original-width="186" height="170" src="https://blogger.googleusercontent.com/img/a/AVvXsEiXGsjSsKi29lzDccd6ONzhN-7WXpxBfRZ88whwNsZBDS6Lv8G-QMpR8WPx71md6m1HoY-8w-80Hw8Dz5SxmzIsQCT1rZh1hCA8QIoxo5f3NqDzPJVYc95tzuJnWtcdi2mPP6S3MiN2XzQ4QT-HFyecUMz8BUEVhvAh-gqb2HN4VIrg07kcJ3cG-nkGWw=w195-h170" width="195" /></a></div><div class="separator" style="clear: both; font-weight: bold; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgux1GnlaOKvOLqTy57h61Tysdk1ITyiEarlHk6KHE4wptxvOzJts8_82k6Mg7V5sCpiBQA954aolrN-UW3iVQwxoX_VQonNiH44YAoCuSj3mCppN93zd7YoZZcKOXYilWggOyIZfG3hqsh7Rc2eAINhMg2QbdQPVPZTGXhucyA1FReHH6iXx1zYvZxwQ" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="25" data-original-width="215" height="28" src="https://blogger.googleusercontent.com/img/a/AVvXsEgux1GnlaOKvOLqTy57h61Tysdk1ITyiEarlHk6KHE4wptxvOzJts8_82k6Mg7V5sCpiBQA954aolrN-UW3iVQwxoX_VQonNiH44YAoCuSj3mCppN93zd7YoZZcKOXYilWggOyIZfG3hqsh7Rc2eAINhMg2QbdQPVPZTGXhucyA1FReHH6iXx1zYvZxwQ=w250-h28" width="250" /></a></div><p style="font-weight: bold;"><b><br /></b></p><b>Pembahasan</b><p></p><p><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhf4CDrjp2Q5R4GyRIjdsIrromlTV9PER--l5B2AJOToug4tQU0uC0MgJFpy-dez15osSW2y15s2S3s4aglEKqBlQH_E5ZyeYC560_APNvhtQkAP74bkwCLAXlISFMggn0dztTe9CKbYTd1DLKCpLrkhmjck_PE4tBfAezW20lqzMQ1q2FGjGa8TOakyg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="28" data-original-width="122" height="31" src="https://blogger.googleusercontent.com/img/a/AVvXsEhf4CDrjp2Q5R4GyRIjdsIrromlTV9PER--l5B2AJOToug4tQU0uC0MgJFpy-dez15osSW2y15s2S3s4aglEKqBlQH_E5ZyeYC560_APNvhtQkAP74bkwCLAXlISFMggn0dztTe9CKbYTd1DLKCpLrkhmjck_PE4tBfAezW20lqzMQ1q2FGjGa8TOakyg=w135-h31" width="135" /></a></b></div><b><br /><br /></b><p></p><p><b></b></p><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgNtXW3aR2WR6KJCGjHK_I1apmXerrQob9Ex44-PxBbUZQ4lF8ocPGl-Y1PYfHBx1FnYQsLm9V-qG8Uw1wsgVlUQDZ5Mudf7To2L4GqqnND1AfyhQQSfZTqn6EN2UQ5aMbrDL-8cCtxSNIxrzTH7Os8a2agnqkntul7SBCbIeqoTiw8xRBVX5A8FzpOJg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="58" data-original-width="459" height="65" src="https://blogger.googleusercontent.com/img/a/AVvXsEgNtXW3aR2WR6KJCGjHK_I1apmXerrQob9Ex44-PxBbUZQ4lF8ocPGl-Y1PYfHBx1FnYQsLm9V-qG8Uw1wsgVlUQDZ5Mudf7To2L4GqqnND1AfyhQQSfZTqn6EN2UQ5aMbrDL-8cCtxSNIxrzTH7Os8a2agnqkntul7SBCbIeqoTiw8xRBVX5A8FzpOJg=w522-h65" width="522" /></a></b></div><b><br /><br /></b><p></p><p><b><br /></b></p><p><b>Pembahasan</b></p><p>Langkah pertama, kita sederhanakan pertidaksamaan tersebut sesederhana mungkin</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjmbujozCAOa2XZpNym28mmEeeRr03fhhzAsSapkZS2N6g8QHjdhmBm_2BqfSh8Id26gNuCE9og9-luzh-DrXdepUPc4cRNXdKRbNIdd0Sh0AXz01VRq2cipcJVwTE0E4YFvzX1lOvnxqaDYUtw8AtuZlfuQ7B7ycORX3oLQp2z3SCUyVfEPTCE6evEDw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="326" data-original-width="466" height="344" src="https://blogger.googleusercontent.com/img/a/AVvXsEjmbujozCAOa2XZpNym28mmEeeRr03fhhzAsSapkZS2N6g8QHjdhmBm_2BqfSh8Id26gNuCE9og9-luzh-DrXdepUPc4cRNXdKRbNIdd0Sh0AXz01VRq2cipcJVwTE0E4YFvzX1lOvnxqaDYUtw8AtuZlfuQ7B7ycORX3oLQp2z3SCUyVfEPTCE6evEDw=w490-h344" width="490" /></a></div><br /><br /><p></p><p><b><br /></b></p><p style="font-weight: bold;"><b><br /></b></p><p style="font-weight: bold;"><b><br /></b></p><p style="font-weight: bold;"><b><br /></b></p><p style="font-weight: bold;"><b><br /></b></p><p style="font-weight: bold;"><b><br /></b></p><p style="font-weight: bold;"><b><br /></b></p><br /><br /><br /><p></p><p>Oke Guys, inilah adalah pembahasan beberapa soal HKIMO Heat round untuk secondary 1, </p><p>lanjut <span style="font-size: medium;"><b>part 2</b></span></p>Unknownnoreply@blogger.com0Jl. Lembang 2D No.1516, Samaan, Kec. Klojen, Kota Malang, Jawa Timur 65112, Indonesia-7.9624142 112.6291417-9.050735493191798 111.5305088875 -6.8740929068082028 113.7277745125tag:blogger.com,1999:blog-5861188404368302411.post-30630671340386793802023-04-13T20:40:00.012-07:002023-04-13T20:40:00.420-07:00Proofing Formula of Phytagoras By Garfield<p> Assalamualaikum Mathlovers!</p><p>Welcome Back to my blog. In this opportunity i will proof about phytagorean formula. We know that until now, one hundred more about proof of the phytagorean theorem. One of them is proof of the phytagorean theorem by Garfield President.</p><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;">Consider the
following picture!</span></p><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;"></span></p><div style="text-align: left;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhsAXmoU561O1TP_l_6MVKSbOBlbjFXDHkxr4qScheTAmYVkpqW9AMe0u-2lim0t7jnQQ7ctVp56RIEtoDgM3HvAs_o7E1KfvC_F5b6ekuUn_8Txig-u4_HUhmonFrVRJRPCs8Ao-_RW1xGRIGRudhPjrbhVNEVQWAoaInqetjorPb2VKUkkX_LZiQKOw"><img data-original-height="134" data-original-width="91" height="200" src="https://blogger.googleusercontent.com/img/a/AVvXsEhsAXmoU561O1TP_l_6MVKSbOBlbjFXDHkxr4qScheTAmYVkpqW9AMe0u-2lim0t7jnQQ7ctVp56RIEtoDgM3HvAs_o7E1KfvC_F5b6ekuUn_8Txig-u4_HUhmonFrVRJRPCs8Ao-_RW1xGRIGRudhPjrbhVNEVQWAoaInqetjorPb2VKUkkX_LZiQKOw=w136-h200" width="136" /></a></div><p></p><p class="MsoNormal">From above picture, by using formula of trapezoid area we
can find<o:p></o:p></p><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgroA7doZ8V-NFU6kSreFIoB7tv5dopA4uWAL1Jc-VlUMMpmZ8dUpRP3Cgwn9Rii2RR5g6CMk1nRp3WmnevUQAKxGryIqzPy7o7MhewGGbN7nG_E3ctbwBdcw7N-4BLgPSj3W822pCMNk7-hvnms8ozQHkeT6iqXfZVUhE3U47zdtU-eTECBfL9yheBRw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="121" data-original-width="402" height="120" src="https://blogger.googleusercontent.com/img/a/AVvXsEgroA7doZ8V-NFU6kSreFIoB7tv5dopA4uWAL1Jc-VlUMMpmZ8dUpRP3Cgwn9Rii2RR5g6CMk1nRp3WmnevUQAKxGryIqzPy7o7MhewGGbN7nG_E3ctbwBdcw7N-4BLgPSj3W822pCMNk7-hvnms8ozQHkeT6iqXfZVUhE3U47zdtU-eTECBfL9yheBRw=w400-h120" width="400" /></a></div><br /><br /><p></p><div style="text-align: left;"></div><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;"><br /><br /></span></p><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;"><br /></span></p><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;"><br /></span></p><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;">By
using formula of triangle we can find</span></p><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;"></span></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg2QLJex_N7vQBib1Fy-n1uq3UL0kPcX-eGFKhZuvLc1-T8dbCR14nxSDG_ndhfmEB_Mzntf9nK2AhK692aNMClDwmqtFYW12u7gi1eHS0xJS45snAIDpMQBFuD8bsw1zQWRR1WQun5iIlI5AXgfnmUNYrdMZWRrx8jvFT20QpeuN6f_vZKg6CkfwgTNA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="75" data-original-width="393" height="76" src="https://blogger.googleusercontent.com/img/a/AVvXsEg2QLJex_N7vQBib1Fy-n1uq3UL0kPcX-eGFKhZuvLc1-T8dbCR14nxSDG_ndhfmEB_Mzntf9nK2AhK692aNMClDwmqtFYW12u7gi1eHS0xJS45snAIDpMQBFuD8bsw1zQWRR1WQun5iIlI5AXgfnmUNYrdMZWRrx8jvFT20QpeuN6f_vZKg6CkfwgTNA=w400-h76" width="400" /></a></div><br /><br /><p></p><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;"><br /></span></p><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;"><br /></span></p><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;"></span></p><p class="MsoNormal">From (1) and (2)</p><p class="MsoNormal"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiLKQRLfjhC34XCC14sSxhLA1B21OM99y1G_rZQ12wEGx86mwJQK--csohJ2Y0YH7W6aSiRvvJGqBZ7ylQ3NZYY754Avs5rVIbSm-T6pDJCSYzXAEfqdohXjkIzQ0goAgABgEDIpAs8NHrdzq9VU3hHCpUQsZt2TLe2b8PWMCNM92Vq3lQyeZe1oDb4Og" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="167" data-original-width="299" height="179" src="https://blogger.googleusercontent.com/img/a/AVvXsEiLKQRLfjhC34XCC14sSxhLA1B21OM99y1G_rZQ12wEGx86mwJQK--csohJ2Y0YH7W6aSiRvvJGqBZ7ylQ3NZYY754Avs5rVIbSm-T6pDJCSYzXAEfqdohXjkIzQ0goAgABgEDIpAs8NHrdzq9VU3hHCpUQsZt2TLe2b8PWMCNM92Vq3lQyeZe1oDb4Og" width="320" /></a></div><br /> <o:p></o:p><p></p><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;"><br /></span></p><p style="text-align: left;"><span style="font-family: Calibri, "sans-serif"; font-size: 11pt; font-weight: normal; line-height: 115%;"><br /></span></p><p style="text-align: left;"><br /></p><p style="text-align: left;"><br /></p><p style="text-align: left;"><br /></p><p style="text-align: left;"><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin;"> According phytagorean formula, it say that the
square of the sum of the two sides of a triangle is equal to the square of the
longest side. So, the formula is proofed!</span></p>Unknownnoreply@blogger.com1PJJ6+34W, Jl. Jeding, Ledeng, Rejosari, Gedangan, Kabupaten Malang, Jawa Timur 65178, Indonesia-8.2697416999999991 112.6102971-16.977262962581879 103.8212346 0.43777956258188055 121.3993596tag:blogger.com,1999:blog-5861188404368302411.post-43344771530622090122022-06-29T19:45:00.009-07:002022-06-29T19:48:44.962-07:00Pembahasan SBMPTN 2019 Matematika<p></p><div class="separator" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj64WZnUKv5VV6MHCYT8gdFUhwk_DS4A6j9gmqLHWNDm81UIbBXNHxhZFBL0yfsDwAfASxFuWEUompLhiFNW2XBBhh2JLeTYq9Pt9IBlZANCgLZ3q-uI32sH6dOMTyfVRjM1WTzg4NN5SyJkM9nU7yKE2O6l7dGMs-HFIOkyk1SVvh_A82ZzhCAin_YCw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="178" data-original-width="235" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEj64WZnUKv5VV6MHCYT8gdFUhwk_DS4A6j9gmqLHWNDm81UIbBXNHxhZFBL0yfsDwAfASxFuWEUompLhiFNW2XBBhh2JLeTYq9Pt9IBlZANCgLZ3q-uI32sH6dOMTyfVRjM1WTzg4NN5SyJkM9nU7yKE2O6l7dGMs-HFIOkyk1SVvh_A82ZzhCAin_YCw" width="317" /></a></div> <br />Assalamualaikum guys, bagaimana kabarnya? Saya berharap kalian samua baik baik saja. Bertemu kembali dengan saya, Joe dalam cara asyik belajar matematika. Hmmm, bahas soal olimpiade pernah, bahas soal di sekolah sudah, bagaimana kalau hari ini kita coba bahas soal SBMPTN, kelihatannya seru dan menantang, nih. Gimana? Sudah tidak sabar? yuk cuz ...<p></p><p><br /></p><p><br /></p><p><br /></p><p>1. Jika periode fungsi <img id="output" src="https://latex.codecogs.com/svg.image?f(x)=2cos(ax)+a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> adalah <img id="output" src="https://latex.codecogs.com/svg.image?\frac{\pi%20}{3}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />, maka nilai minimum dari <img id="output" src="https://latex.codecogs.com/svg.image?f(a)" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> adalah </p><p><b>Pembahasan:</b></p><p>Karena periode diketahui <img id="output" src="https://latex.codecogs.com/svg.image?\frac{\pi%20}{3}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />, maka <img id="output" src="https://latex.codecogs.com/svg.image?\frac{2\pi%20}{a}=\frac{\pi%20}{3}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> dan <img id="output" src="https://latex.codecogs.com/svg.image?a=6" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> sehingga,</p><p><img id="output" src="https://latex.codecogs.com/svg.image?f(x)=2cos(ax)+a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?f(x)=2cos(6x)+6" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p>Agar bernilai minimum, maka <img id="output" src="https://latex.codecogs.com/svg.image?cox(6x)=-1" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />, sehingga <img id="output" src="https://latex.codecogs.com/svg.image?f(x)=2\cdot%20(-1)+6=4" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />.</p><p><br /></p><p>2. <img id="output" src="https://latex.codecogs.com/svg.image?\displaystyle%20\lim_{%20x\to%201}\frac{x^{3}-x^{2}}{\sqrt{2+2x}-\sqrt{6-2x}}=%20...." style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><b>Pembahasan:</b></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\displaystyle%20\lim_{%20x\to%201}\frac{x^{3}-x^{2}}{\sqrt{2+2x}-\sqrt{6-2x}}=%20\displaystyle%20\lim_{%20x\to%201}\frac{x^{2}(x-1)(\sqrt{2+2x}+\sqrt{6-2x})}{4x-4}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\displaystyle%20\lim_{%20x\to%201}\frac{x^{3}-x^{2}}{\sqrt{2+2x}-\sqrt{6-2x}}=%20\displaystyle%20\lim_{%20x\to%201}\frac{x^{2}(x-1)(\sqrt{2+2x}+\sqrt{6-2x})}{4(x-1)}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\displaystyle%20\lim_{%20x\to%201}\frac{x^{3}-x^{2}}{\sqrt{2+2x}-\sqrt{6-2x}}=%20\displaystyle%20\lim_{%20x\to%201}\frac{x^{2}(\sqrt{2+2x}+\sqrt{6-2x})}{4}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\displaystyle%20\lim_{%20x\to%201}\frac{x^{3}-x^{2}}{\sqrt{2+2x}-\sqrt{6-2x}}=%20\displaystyle%20\lim_{%20x\to%201}\frac{1^{2}(\sqrt{2+2.1}+\sqrt{6-2.1})}{4}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\displaystyle%20\lim_{%20x\to%201}\frac{x^{3}-x^{2}}{\sqrt{2+2x}-\sqrt{6-2x}}=%20\displaystyle%20\lim_{%20x\to%201}\frac{1^{2}(\sqrt{4}+\sqrt{4})}{4}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\displaystyle%20\lim_{%20x\to%201}\frac{x^{3}-x^{2}}{\sqrt{2+2x}-\sqrt{6-2x}}=%20\displaystyle%20\lim_{%20x\to%201}\frac{4}{4}=1" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p>Unknownnoreply@blogger.com0Jl. Kebon Sirih No. 17-19, Kebon Sirih Menteng, Kebon Sirih, Menteng, RT.15/RW.7, Kb. Sirih, Kec. Menteng, Kota Jakarta Pusat, Daerah Khusus Ibukota Jakarta 10340, Indonesia-6.1851432 106.8311123-6.2192750756347337 106.79678002460938 -6.1510113243652658 106.86544457539063tag:blogger.com,1999:blog-5861188404368302411.post-88160169645598079032022-06-27T18:03:00.009-07:002022-06-27T18:04:07.220-07:00<p></p><div class="separator" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjAKdgDT3HsS5FNU-D6dm2UdUMj3VTsQIHKqE8rrhJKe6NIF2cxotMv9125i6fVFsZJ7g3fjCrXbFI2tW73nFfQHrpnSQqDEsk97PJrexrbGO2iZNa8LIJm7I-XHjq8n_gNF-srkaHR72-c56PMRKzZgw7agspYV5StKQ4xcCy5onnz-mzCOLm9pzFZHw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="154" data-original-width="291" height="170" src="https://blogger.googleusercontent.com/img/a/AVvXsEjAKdgDT3HsS5FNU-D6dm2UdUMj3VTsQIHKqE8rrhJKe6NIF2cxotMv9125i6fVFsZJ7g3fjCrXbFI2tW73nFfQHrpnSQqDEsk97PJrexrbGO2iZNa8LIJm7I-XHjq8n_gNF-srkaHR72-c56PMRKzZgw7agspYV5StKQ4xcCy5onnz-mzCOLm9pzFZHw=w320-h170" width="320" /></a></div><br /> Assalamualaikum teman teman, adik adik, bapak bapak, atau ibu ibu penggemar wowbagoesmath. Bagaimana kabarnya? Sudah makan belum? Bertemu lagi dengan saya Joe dalam cara asyik belajar matematika. Pada postingan sebelumnya, kita sudah latihan soal dan membahas lima soal TIMO 2021 mengenai aljabar. Pertanyaannya, memang soal TIMO hanya ada lima soal saja? Eits, tunggu dulu, sabar, hari ini Joe ingin bahas lagi, yakni 4 soal TIMO lainnya mengenai logical thinking. Sudah ga sabar? oke deh langsung saja cuzzz ...<p></p><p><br /></p><p>1. There are some chicken and rabbits in a cage. The number of rabbit is 4 times as the number of chickens. The total legs of rabbit's is 126 more than of chicken's. How many rabbit(s)is/are there?</p><p><b>Pembahasan:</b></p><p>Misalkan</p><p>Banyak ayam adalah a.</p><p>Banyak kelinci adalah k.</p><p>k = 4.a</p><p>4k = 126 + 2a</p><p>16a = 126 + 2a</p><p>16a - 2a = 126</p><p>14a = 126</p><p>a = 9</p><p>k = 4.a</p><p>k = 4.9</p><p>k = 36</p><p>Jadi banyak kelinci adalah 36.</p><p><br /></p><p>2. Alice goes north for 18 km, then goes east for 24 km. How many km is she now from the original position?</p><p><b>Pembahasan:</b></p><p>Dengan menggunakan teorema phytagoras, maka</p><p><img id="output" src="https://latex.codecogs.com/svg.image?jarak\%20dari\%20posisi\%20awal=\sqrt{18^{2}+24^{2}}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> </p><p><img id="output" src="https://latex.codecogs.com/svg.image?jarak\%20dari\%20posisi\%20awal=\sqrt{324+576}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?jarak\%20dari\%20posisi\%20awal=\sqrt{900}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?jarak\%20dari\%20posisi\%20awal=30\%20km" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><br /></p><p>3. According to the pattern shown below, what is the number in the blank?</p><p>1 , 7 , 19 , 43 , 91 , ... , ... .</p><p><b>Pembahasan:</b></p><p>Berdasarkan pola diatas, kita perlu mengamati dan menentukan rumus untuk menentukan pola bilangan yang berikutnya. Berdasarkan pola tersebut, rumus untuk menentukan pola berikutnya adalah </p><p><img id="output" src="https://latex.codecogs.com/svg.image?U_{n}=U_{n-1}\cdot%202+5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?U_{6}=U_{5}\cdot%202+5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?U_{6}=91\cdot%202+5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?U_{6}=187" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?U_{7}=U_{6}\cdot%202+5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?U_{7}=187\cdot%202+5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?U_{7}=379" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><br /></p><p>4. There are 7 people arguing which day of week is today. Their statements are quoted as below:</p><p> A: Yesterday was Monday.</p><p>B: Tomorrow will be friday.</p><p>C : Tomorrow will be Thursday.</p><p>D : The day after tomorrow will be Wednesday.</p><p>E : Today is neither Monday, Wednesday nor Thursday.</p><p>F : Today is neither Tuesday, Thursday, nor Saturday.</p><p>G : Today is either Wednesday, Thursday, or Friday.</p><p>Given that among them only one statement is correct, which day of week is today?</p><p><b>Pembahasan:</b></p><p>Berdasarkan pernyataan pernyataan diatas, kita hanya melihat pernyataan mana yang tidak saling kontradiksi. Pernyataan yang tidak kontradiksi dengan lainnya adalah pernyataan dari <b>E</b>.</p><p> </p>Unknownnoreply@blogger.com04, Jl. RP. Soeroso No.2, RW.5, Cikini, Menteng, Central Jakarta City, Jakarta 10330, Indonesia-6.1875234 106.8355444-6.2557845359493962 106.76687984921875 -6.1192622640506036 106.90420895078125tag:blogger.com,1999:blog-5861188404368302411.post-13357440435203511402022-06-26T18:00:00.004-07:002022-06-26T18:00:00.164-07:00Pembahasan Soal TIMO Heat Round 2020-2021 SS1 Bagian Aljabar<p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhdYdily_6_pjXzCD0Pg1_RBzjTvr9AekT4_ZTVc8eyj7eWohCiHAm-9Bo8zK04aisu8oZGQzj7-f75e6jULw4IJIq5MDd0v-6a4daraW1vn7EhVZyKilMx4ksXaTQh1FLxzymcGDVEwRhgi-IkyQ9Ia5_O7f1tnHA0XjmBwEaGqlwCU_itwnxiFhgArw" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img data-original-height="311" data-original-width="542" height="115" src="https://blogger.googleusercontent.com/img/a/AVvXsEhdYdily_6_pjXzCD0Pg1_RBzjTvr9AekT4_ZTVc8eyj7eWohCiHAm-9Bo8zK04aisu8oZGQzj7-f75e6jULw4IJIq5MDd0v-6a4daraW1vn7EhVZyKilMx4ksXaTQh1FLxzymcGDVEwRhgi-IkyQ9Ia5_O7f1tnHA0XjmBwEaGqlwCU_itwnxiFhgArw=w200-h115" width="200" /></a></div><br /> Assalamualaikum teman teman berjumpa kembali dengan saya Joe.<p></p><p>Bagaimana kabar kalian semua? Saya harap kalian semua diberikan kesehatan ya. Hmmm, hari ini enaknya bahas apa ya? Bahas soal matematika di kelas lagi kurang greget, bahas soal olimpiade lagi masih aga bosan, secara Hari Minggu kemarin baru saja kita bahas soal latihan olimpiade. Bagaimana kalau kita bahas soal olimpiade, tapi bukan Joe yang bikin? Sepertinya ide menarik nih. Pada kesempatan kali ini Joe ingin bahas mengenai soal TIMO tahun 2021 secondary one. Namun, agar tidak bosan kita bahas yang bagian aljabar dulu ya guys. Tapi jangan khawatir, nanti bagian lainnya tetap saya bahas, tapi ga sekarang lah. Langsung aja, cuzzz...</p><p>1. Find The value of x if <img id="output" src="https://latex.codecogs.com/svg.image?(6x-2)-(2x+6)=16" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />.</p><p><b>Pembahasan:</b></p><p><img id="output" src="https://latex.codecogs.com/svg.image?6x-2-2x-6=16" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?4x-8=16" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?4x=24" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?x=6" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><br /></p><p>2. How many Integral solution(s) is/are there for <img id="output" src="https://latex.codecogs.com/svg.image?x" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> if <img id="output" src="https://latex.codecogs.com/svg.image?-3%3C\frac{3x+5}{2}%3C19" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />?</p><p><b>Pembahasan:</b></p><p>Kalikan dengan dua semua sehingga,</p><p><img id="output" src="https://latex.codecogs.com/svg.image?-6%3C3x+5%3C38" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p>Semua ruas kurangi dengan 5 sehingga,</p><p><img id="output" src="https://latex.codecogs.com/svg.image?-6-5%3C3x+5-5%3C38-5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?-11%3C3x%3C33" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p>Bagilah semua ruas dengan 3 sehingga,</p><p><img id="output" src="https://latex.codecogs.com/svg.image?\frac{-11}{3}%3C\frac{3x}{3}%3C\frac{33}{3}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\frac{-11}{3}%3Cx%3C11" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?-3,66...%3Cx%3C11" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p>maka bilangan bulat yang memenuhi adalah -3,-2,-1,0,1,2,...,10 sebanyak 14 bilangan bulat.</p><p><br /></p><p>3. Given <img id="output" src="https://latex.codecogs.com/svg.image?a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> is an integer and <img id="output" src="https://latex.codecogs.com/svg.image?\left|a-2%20\right|+\left|a+4%20\right|=6," style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> find the sum of all possible value of <img id="output" src="https://latex.codecogs.com/svg.image?a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />.</p><p><b>Pembahasan:</b></p><p>Notasi mutlak berarti bilangan yang selalu bernilai positif. Jadi </p><p>Untuk <img id="output" src="https://latex.codecogs.com/svg.image?\left|%20a-2\right|" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> tidak mungkin kita isi dengan 9 atau -5 karena nanti nilai dari <img id="output" src="https://latex.codecogs.com/svg.image?\left|%20a-2\right|=7" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (lebih dari 6)</p><p>Begitupula untuk <img id="output" src="https://latex.codecogs.com/svg.image?\left|a+4%20\right|" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> tidak mungkin kita isi dengan 3 atau -11 karena nanti nilai dari <img id="output" src="https://latex.codecogs.com/svg.image?\left|a+4%20\right|=7" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (lebih dari 6)</p><p>Maka bilangan bulat yang mungkin memenuhi adalah bilangan diantara 3 hingga -5 yakni -4,-3,-2,-1,0,1,2. Untuk mengetahui nilai mana yang memenuhi dapat kita lakukan dengan cara mensubsitusikannya secara langsung.</p><p>Untuk <img id="output" src="https://latex.codecogs.com/svg.image?a=-4" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\left|a-2%20\right|+\left|a+4%20\right|=\left|-4-2\right|+\left|-4+4%20\right|=\left|-6%20\right|+\left|0%20\right|=6" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (memenuhi)</p><p>Untuk <img id="output" src="https://latex.codecogs.com/svg.image?a=-3" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\left|a-2%20\right|+\left|a+4%20\right|=\left|-3-2%20\right|+\left|-3+4%20\right|=\left|-5%20\right|+\left|1%20\right|=5+1=6" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (memenuhi)</p><p>Untuk <img id="output" src="https://latex.codecogs.com/svg.image?a=-2" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\left|a-2%20\right|+\left|a+4%20\right|=\left|-2-2%20\right|+\left|-2+4%20\right|=\left|-4%20\right|+\left|2%20\right|=4+2=6" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (memenuhi)</p><p>Untuk <img id="output" src="https://latex.codecogs.com/svg.image?a=-1" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\left|a-2%20\right|+\left|a+4%20\right|=\left|-1-2%20\right|+\left|-1+4%20\right|=\left|-3%20\right|+\left|3%20\right|=3+3=6" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (memenuhi)</p><p>Untuk <img id="output" src="https://latex.codecogs.com/svg.image?a=0" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\left|a-2%20\right|+\left|a+4%20\right|=\left|0-2%20\right|+\left|0+4%20\right|=\left|-2%20\right|+\left|4%20\right|=2+4=6" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (memenuhi)</p><p>Untuk <img id="output" src="https://latex.codecogs.com/svg.image?a=1" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\left|a-2%20\right|+\left|a+4%20\right|=\left|1-2%20\right|+\left|1+4%20\right|=\left|-1%20\right|+\left|5%20\right|=1+5=6" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (memenuhi)</p><p>Untuk <img id="output" src="https://latex.codecogs.com/svg.image?a=2" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\left|a-2%20\right|+\left|a+4%20\right|=\left|2-2%20\right|+\left|2+4%20\right|=\left|0%20\right|+\left|6%20\right|=0+6=6" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (memenuhi)</p><p>Jumlah dari semua nilai <img id="output" src="https://latex.codecogs.com/svg.image?a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> yang memenuhi adalah <img id="output" src="https://latex.codecogs.com/svg.image?-4+(-3)+(-2)+(-1)+0+1+2=-7" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><br /></p><p>4. Factorise <img id="output" src="https://latex.codecogs.com/svg.image?3x^2-9x-210" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><b>Pembahasan:</b></p><p><img id="output" src="https://latex.codecogs.com/svg.image?3x^2-9x-210=3(x^2-3x-70)" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?3x^2-9x-210=3(x-10)(x+7)" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><br /></p><p>5. Given that <img id="output" src="https://latex.codecogs.com/svg.image?a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> is a negative real number and <img id="output" src="https://latex.codecogs.com/svg.image?a\neq%20-1" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />. If <img id="output" src="https://latex.codecogs.com/svg.image?a+\frac{18}{a+1}=-10" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />. find the minimum value of <img id="output" src="https://latex.codecogs.com/svg.image?a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />.</p><p><b>Pembahasan:</b></p><p><img id="output" src="https://latex.codecogs.com/svg.image?a+\frac{18}{a+1}=-10" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\frac{a(a+1)}{a+1}+\frac{18}{a+1}=-10" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\frac{a^2+a}{a+1}+\frac{18}{a+1}=-10" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\frac{a^2+a+18}{a+1}=-10" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?a^2+a+18=-10a-10" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?a^2+a+18+10a+10=0" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?a^2+11a+28=0" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?(a+4)(a+7)=0" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?a=-4\%20atau%20\%20a=-7" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p>Minimum value of <img id="output" src="https://latex.codecogs.com/svg.image?a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> is -7.</p>Unknownnoreply@blogger.com1Jl. Gondangdia Dalam No.13, RT.1/RW.5, Cikini, Kec. Menteng, Kota Jakarta Pusat, Daerah Khusus Ibukota Jakarta 10330, Indonesia-6.1887143999999994 106.8342471-6.2569784961246393 106.76558254921875 -6.1204503038753595 106.90291165078125tag:blogger.com,1999:blog-5861188404368302411.post-32640805093802602832022-06-25T18:26:00.008-07:002022-06-25T18:28:21.658-07:00Soal dan Pembahasan Soal Latihan Olimpiade Part 2
<p> Assalamualaikum guys!</p><p>Bertemu kembali dengan saya, joe. Bagaimana kabar kalian? Semoga kalian semua sehat sehat. Hmm, sudah tidak sabar ya dengan soal dan pembahasan olimpiade kali ini, Pada soal olimpiade kali ini, saya ingin berbagi dengan kalian semua mengenai materi geometri. Kita tahu semua, bahwa geometri bukanlah materi yang mudah. Hal ini dikarenakan selain berhitung dan mengutak atik untuk mendapatkan jawaban nih, kalian juga perlu melihat sebuah gambar dari sudut pandang yang berbeda. Namun jangan patah semangat gitu guys, hari ini kita belajar dengan soal geometri yang masih sederhana kok. Sudah tidak sabar, nih? Langsung saja kita intip yuk!</p>
<iframe allow="autoplay" height="480" src="https://drive.google.com/file/d/150PGWYxDPci-eZTNUwJGK_bQEKO4FaAK/preview" width="640"></iframe><div><br /></div><div><b>Pembahasan:</b></div><div><b><br /></b></div><div>1. Berdasarkan soal tersebut, kita dapat menambahkan sudut pada gambar tersebut menjadi:</div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgSRhwkb2MtEjnVF4cYrXLV1z-z_8yykQWbPRqW9isaTDY9KWqFvEZo8nvDfZiO8LLc0f3ChKOm0GNNA06A1HdhjycoXmGyGGPTwlfHKIieMuXqXWQj0uX5u4l385yPLCdWV-Hj3GsqvQiKlLFWDGFjQPN2ElRMy0cG4NJprW4WYFLyRnj3uJNLu9f26Q" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="216" data-original-width="212" src="https://blogger.googleusercontent.com/img/a/AVvXsEgSRhwkb2MtEjnVF4cYrXLV1z-z_8yykQWbPRqW9isaTDY9KWqFvEZo8nvDfZiO8LLc0f3ChKOm0GNNA06A1HdhjycoXmGyGGPTwlfHKIieMuXqXWQj0uX5u4l385yPLCdWV-Hj3GsqvQiKlLFWDGFjQPN2ElRMy0cG4NJprW4WYFLyRnj3uJNLu9f26Q=s16000" /></a></div><br /><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div>Berdasarkan gambar tersebut, dapat kita nyatakan</div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20a+\angle%20m+\angle%20d=180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20b+\angle%20n+\angle%20e=180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20c+\angle%20o+\angle%20a=180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20d+\angle%20k+\angle%20b=180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20e+\angle%20l+\angle%20c=180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div>Jika kita jumlahkan semua kelima persamaan diatas, maka menjadi,</div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?2\angle%20a+2\angle%20b+2\angle%20c+2\angle%20d%20+2\angle%20e+\angle%20k+\angle%20l+\angle%20m+\angle%20n+\angle%20o=900^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div>Kita ketahui bahwa <img id="output" src="https://latex.codecogs.com/svg.image?\angle%20k,\angle%20l,\angle%20m,\angle%20n,\angle%200" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> adalah segilima sehingga jumlah kelima sudut tersebut adalah,</div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20k+\angle%20l+\angle%20m+\angle%20n+\angle%20o%20=(n-2)\cdot%20180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20k+\angle%20l+\angle%20m+\angle%20n+\angle%20o%20=(5-2)\cdot%20180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20k+\angle%20l+\angle%20m+\angle%20n+\angle%20o%20=3\cdot%20180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20k+\angle%20l+\angle%20m+\angle%20n+\angle%20o%20=540^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div>Maka,</div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?2\angle%20a+2\angle%20b+2\angle%20c+2\angle%20d%20+2\angle%20e+540^{\circ%20}=900^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?2\angle%20a+2\angle%20b+2\angle%20c+2\angle%20d%20+2\angle%20e=360^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20a+\angle%20b+\angle%20c+\angle%20d%20+\angle%20e=180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div>Untuk menentukan ukuran masing masing sudut pada gambar bintang, kita tinggal membaginya saja dengan lima.</div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20a=\frac{180}{5}=36^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><br /></div><div>2. Berdasarkan informasi yang terdapat pada soal, kita dapat gambarkan lagi menjadi </div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjf9WzNNZNxzMRL8L0UAsK1n9hRuLvcHJsyj2IWIT_gsmRAWWzXOcb6taklWr8z6DJ2mCbSgbAU8rB8hQUdpMKBRoWRviC-MyUEEUGI78dt_q-MwjINHWfJT9gNE_eJGa94yTjPDmh-2w4sanEun1nFdgNEF_Yg9Q6wcYUOsJ0opxIDU2HrveCBmZsjtA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="561" data-original-width="648" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEjf9WzNNZNxzMRL8L0UAsK1n9hRuLvcHJsyj2IWIT_gsmRAWWzXOcb6taklWr8z6DJ2mCbSgbAU8rB8hQUdpMKBRoWRviC-MyUEEUGI78dt_q-MwjINHWfJT9gNE_eJGa94yTjPDmh-2w4sanEun1nFdgNEF_Yg9Q6wcYUOsJ0opxIDU2HrveCBmZsjtA" width="277" /></a></div><br /><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div>Kita tentukan dahulu nilai dari n dengan menggunakan teorema phytagoras</div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1=\sqrt{(2n)^{2}+n^{2}}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1=\sqrt{4n^{2}+n^{2}}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1=4n^{2}+n^2" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1=5n^{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?n^{2}=\frac{1}{5}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?L\Delta%20=\frac{a\cdot%20t}{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?L\Delta%20=\frac{2n\cdot%202n}{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?L\Delta%20=2n^{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?L\Delta%20=2\cdot%20\frac{1}{5}=\frac{2}{5}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><br /></div><div>3. Perhatikan gambar berikut ini!</div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg52ua0Acw6SnM_OhtdW6SfGXpLJf5qRiCxjiVVKoi8oqCfP3BGsVfKGzerqKmN9QQh2zj0uBp7J8bIbcJVGW6gf3RmwMrT129RVN8GFwSyrzEm-xtkRxk-I3KePropR8XsB2_QE71Iu78p3PHxC8d9i_NWkrEF4wRYPIUXuPceQuZWI5JsSmF31j9l4A" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="132" data-original-width="208" height="127" src="https://blogger.googleusercontent.com/img/a/AVvXsEg52ua0Acw6SnM_OhtdW6SfGXpLJf5qRiCxjiVVKoi8oqCfP3BGsVfKGzerqKmN9QQh2zj0uBp7J8bIbcJVGW6gf3RmwMrT129RVN8GFwSyrzEm-xtkRxk-I3KePropR8XsB2_QE71Iu78p3PHxC8d9i_NWkrEF4wRYPIUXuPceQuZWI5JsSmF31j9l4A=w200-h127" width="200" /></a></div><br /><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div>Berdasarkan gambar diatas, </div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20ADC%20+%20\angle%20BDC%20=180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?%2096^{\circ%20}+%20\angle%20BDC%20=180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20BDC%20=84^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div>Pada segitiga BCD berlaku</div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?84^{\circ%20}+25^\circ%20+\angle%20CBD=180^\circ" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?109^\circ%20%20+\angle%20CBD=180^\circ" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\angle%20CBD=71^\circ" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div>Sekian dulu ya, kita sambung nanti, bye ...</div>Unknownnoreply@blogger.com1QRGG+3J8, RT.5/RW.2, Kuningan, Kuningan Tim., Kecamatan Setiabudi, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta, Indonesia-6.2248269 106.8265737-8.4058522192521448 104.629308075 -4.0438015807478553 109.023839325tag:blogger.com,1999:blog-5861188404368302411.post-55695154580296371282022-06-24T18:01:00.002-07:002022-06-24T18:02:25.099-07:00Pembahasan Statistika SMP Kelas 8<p> Assalamualaikum guys!</p><p>Welcome back with me, Joe dengan belajar matematika menyenangkan. Pada kesempatan kali ini saya ingin berbagi beberapa soal mengenai statistika. Kita tahu bersama bahwa statistika itu adalah ilmu yang mempelajari mengenai data dan penyajiannya. Hmm...., membosankan dong? Tentu gak dong karena kali ini saya menampilkan dalam bentuk literasi yang menarik. Udah ga sabar nih? Yuk disimak postingan saya ...</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgnzNnznreZwxk0goyOepQCCQO03j1TUY4N17fUg-nRG_1IYG39D9qqcYv89vjt4A-mhzNZQc9D0tB4pFIE_0B-aHg9szUNRxAGEvaj9qy_pmq2tJnBSC0vmJkfkzVXG4RE5Koz1vsRF6fZV1vkE-UglF5yj9bI1ZEie4od8N5Z2MpslaKgWFcCQBggsA" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="443" data-original-width="645" src="https://blogger.googleusercontent.com/img/a/AVvXsEgnzNnznreZwxk0goyOepQCCQO03j1TUY4N17fUg-nRG_1IYG39D9qqcYv89vjt4A-mhzNZQc9D0tB4pFIE_0B-aHg9szUNRxAGEvaj9qy_pmq2tJnBSC0vmJkfkzVXG4RE5Koz1vsRF6fZV1vkE-UglF5yj9bI1ZEie4od8N5Z2MpslaKgWFcCQBggsA=s16000" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjXC7Mk-C4W2Cng6xy1iFyHkQt9H98oj2HPtDbT5eYub5S-HmPOqbuCp_Oxn0grkQQJYz3oXkp0OTAqXO35d_Pnhv4UfMz3ciPgzWwon2drSvjedgmhdUsJBUTGwtdFTV3UgrROCKDr3QR3-nvoMZbSIBo-8ngLnsiY-ozm-U4r9VlX8TmliW4wKmHn9Q" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="131" data-original-width="597" src="https://blogger.googleusercontent.com/img/a/AVvXsEjXC7Mk-C4W2Cng6xy1iFyHkQt9H98oj2HPtDbT5eYub5S-HmPOqbuCp_Oxn0grkQQJYz3oXkp0OTAqXO35d_Pnhv4UfMz3ciPgzWwon2drSvjedgmhdUsJBUTGwtdFTV3UgrROCKDr3QR3-nvoMZbSIBo-8ngLnsiY-ozm-U4r9VlX8TmliW4wKmHn9Q=s16000" /></a></div><br /><b>Pembahasan:</b><p></p><p>Kita ketahui bahwa modus adalah data yang sering muncul, jadi berdasarkan data diatas, kita hanya perlu melihat data kasus kematian terbesar. berdasarkan data diatas, maka total kematian terbesar adalah berada di <b>Kota Banjarmasin</b>.</p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjUBwgtJjxGhig39-dwFNojGwKGV4cPKziHtcJCq_yjXi60mRkqlVPD6pz1L5EKShmeGGVzGNFsMvsuftkS7ULC3ItW_JE9QjW8sbK5ko30KydFEaidKJKI4pM49za5WA69aaC8FieYZcXF2DUFmj2k8u4oCvQmFLDo6HEjis_w35vzwoOPI_dHVIb4iQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="522" data-original-width="648" src="https://blogger.googleusercontent.com/img/a/AVvXsEjUBwgtJjxGhig39-dwFNojGwKGV4cPKziHtcJCq_yjXi60mRkqlVPD6pz1L5EKShmeGGVzGNFsMvsuftkS7ULC3ItW_JE9QjW8sbK5ko30KydFEaidKJKI4pM49za5WA69aaC8FieYZcXF2DUFmj2k8u4oCvQmFLDo6HEjis_w35vzwoOPI_dHVIb4iQ=s16000" /></a></div><br /><div style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjPA3SvoONawCnCTyznB09207ou4Os_nkXcKIazJshP9bAmMqBMPpU1xn7IaUPD8krrv96qa_YBN3l0pgPpnXG2ue-zbE5VtcG3jQvty_0UBPtuo1u84Nc6FhwkN_GxlJD9Gi54mU396DqGMr-X34sRoPnN0TCbZyn8X0W_djDMIjNfLqO7iZSIo4Zsvw"><img alt="" data-original-height="111" data-original-width="544" src="https://blogger.googleusercontent.com/img/a/AVvXsEjPA3SvoONawCnCTyznB09207ou4Os_nkXcKIazJshP9bAmMqBMPpU1xn7IaUPD8krrv96qa_YBN3l0pgPpnXG2ue-zbE5VtcG3jQvty_0UBPtuo1u84Nc6FhwkN_GxlJD9Gi54mU396DqGMr-X34sRoPnN0TCbZyn8X0W_djDMIjNfLqO7iZSIo4Zsvw=s16000" /></a></div><div style="text-align: justify;"><b>Pembahasan:</b></div><div style="text-align: justify;"><b><br /></b></div>Pernyatan A tidak tepat, karena modus berdasarkan infografis diatas adalah usia 35 - 44 tahun.<div>Pernyataan B tidak tepat, karena sosial media yang paling sedikit digunakan berdasarkan infografis diatas adalah twitter.</div><div>Pernyataan C benar, hal ini diperoleh dengan 132,7 juta - 38,7 juta - 24,4 juta - 23,8 juta - 32,3 juta - 13,2 juta = 0,3 juta. jadi pernyataan C adalah <b>benar.</b></div><div>Pernyataan D tidak tepat, karena jika 50% adalah pengguna media sosial, maka banyak penduduk indonesia adalah 132,7 x 2 = 265,4 juta , sedangkan pada infografis disebutkan bahwa penduduk Indonesia adalah 256,2 juta.<br /><br /><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhxU_adCpH0fb8TAs-bKvSAcC7EUbsqW6pgAkOSwThIybnNYw94g3OA6IGN4A6ShSeI_lTZUxXKDCOI7OqpCYTytZEny2QU5TZiGlg1hlK1SALofO8oxIU8yUi-n208wpaHBt74H0YiC5yiUye1-nO01StY5fkrq_b08u51jwB9XR-nzvcXdFq7kVsmXQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="108" data-original-width="538" src="https://blogger.googleusercontent.com/img/a/AVvXsEhxU_adCpH0fb8TAs-bKvSAcC7EUbsqW6pgAkOSwThIybnNYw94g3OA6IGN4A6ShSeI_lTZUxXKDCOI7OqpCYTytZEny2QU5TZiGlg1hlK1SALofO8oxIU8yUi-n208wpaHBt74H0YiC5yiUye1-nO01StY5fkrq_b08u51jwB9XR-nzvcXdFq7kVsmXQ=s16000" /></a></div><b>Pembahasan:</b><p></p><p>Untuk menentukan banyaknya pengguna media sosial yang lain dapat ditentukan dengan:</p><p><img id="output" src="https://latex.codecogs.com/svg.image?132,7-71,6-19,9-14,5-7,2=19,5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> </p><p>Jadi pengguna media sosial lain (other) adalah sebanyak 19,5 juta.</p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhWwrMQO3k_2NiOSM1fGYYAiw0GHxSNUczenlbnKWiWCi_dqenWBpGs0Xly-ULETMhyHpyVz5YNqqyyGCkFD1uGGaIWFFDxBpXfrUGX-deSvkTt7stafmLpI5Li7IeUHtE-uhhD9Ix7NCzQzSnsFr1qygO98QPY-1KFWw5AvsmVen13V3yogrKmh4Jkmg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="306" data-original-width="635" src="https://blogger.googleusercontent.com/img/a/AVvXsEhWwrMQO3k_2NiOSM1fGYYAiw0GHxSNUczenlbnKWiWCi_dqenWBpGs0Xly-ULETMhyHpyVz5YNqqyyGCkFD1uGGaIWFFDxBpXfrUGX-deSvkTt7stafmLpI5Li7IeUHtE-uhhD9Ix7NCzQzSnsFr1qygO98QPY-1KFWw5AvsmVen13V3yogrKmh4Jkmg=s16000" /></a></div><b>Pembahasan:</b><br /><img id="output" src="https://latex.codecogs.com/svg.image?rata-rata=\frac{4\cdot%204+5\cdot%202+6\cdot%206+7\cdot%20X+8\cdot%203}{15+X}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /><p></p><p><img id="output" src="https://latex.codecogs.com/svg.image?6\cdot%2005=\frac{4\cdot%204+5\cdot%202+6\cdot%206+7\cdot%20X+8\cdot%203}{15+X}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?6\cdot%2005=\frac{16+10+36+7X+24}{15+X}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?6\cdot%2005=\frac{86+7X}{15+X}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?90,75+6,05X=86+7X" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?90,75-86=7X-6,05X" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?4,75=0,95X" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?X=5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhAJ7JNoenj2uLXrmEILo2fiL5IHPBDWQMvXMwFLoKX0swa9N74_SoiXAjl_DPbCEaz8x7vNXO122fFQVjuatXNnI6Mj3ZVkJlsTIXDOPJ4ja0xKfE0qefpAmrH9dM1nXmeDxU_mN9eELgfZWhiI9R6FdFn9pqIBxgLObTuzYdncZOdE8TzgkndBDYa6w" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="281" data-original-width="636" src="https://blogger.googleusercontent.com/img/a/AVvXsEhAJ7JNoenj2uLXrmEILo2fiL5IHPBDWQMvXMwFLoKX0swa9N74_SoiXAjl_DPbCEaz8x7vNXO122fFQVjuatXNnI6Mj3ZVkJlsTIXDOPJ4ja0xKfE0qefpAmrH9dM1nXmeDxU_mN9eELgfZWhiI9R6FdFn9pqIBxgLObTuzYdncZOdE8TzgkndBDYa6w=s16000" /></a></div><div class="separator" style="clear: both; text-align: justify;"><b>Pembahasan:</b></div><div class="separator" style="clear: both; text-align: justify;">Berdasarkan keterangan pada soal diatas maka,</div><div class="separator" style="clear: both; text-align: justify;">Misal banyak siswa kelas A adalah <img id="output" src="https://latex.codecogs.com/svg.image?a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />, siswa kelas B adalah <img id="output" src="https://latex.codecogs.com/svg.image?b" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />, dan siswa kelas C adalah <img id="output" src="https://latex.codecogs.com/svg.image?c" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />.</div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?\frac{2a+6b}{a+b}=5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?2a+6b=5a+5b" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?b=3a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /><img id="output" src="https://latex.codecogs.com/svg.image?3c=5a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?b=3\cdot%2027=81" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?\frac{2a+10c}{a+c}=7" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?2a+10c=7a+7c" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?3c=5a" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?3c=5\cdot%2027" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?c=45" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?b-c=81-45=36" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEi9R_4ARvXRRdwcly-hnornb5rOqBXCJcLUuUJwSdM-3iHkPNPzSiBz9SWm7qWZVUqqgC0Pitu4AWMNxvlAo_kV6SEf4w8y_8U6LsMlQRJVUr9d6DZ2tpuKM9u_NaE8frXDAsAYvmjmSeY2u6rhTJ2STrrJEzA8x3_5wem1AUJBej6aEc7DLbn0UxJNLA" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="119" data-original-width="553" src="https://blogger.googleusercontent.com/img/a/AVvXsEi9R_4ARvXRRdwcly-hnornb5rOqBXCJcLUuUJwSdM-3iHkPNPzSiBz9SWm7qWZVUqqgC0Pitu4AWMNxvlAo_kV6SEf4w8y_8U6LsMlQRJVUr9d6DZ2tpuKM9u_NaE8frXDAsAYvmjmSeY2u6rhTJ2STrrJEzA8x3_5wem1AUJBej6aEc7DLbn0UxJNLA=s16000" /></a></div><br /><br /></div><div class="separator" style="clear: both; text-align: justify;"><b>Pembahasan:</b></div><div class="separator" style="clear: both; text-align: justify;">Jumlah nilai adalah <img id="output" src="https://latex.codecogs.com/svg.image?25\cdot%205=125" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both; text-align: justify;">Karena data tersebut adalah data dari 25 bilangan asli, maka kita misalkan data ke-1 hingga data ke-24 kita buat 1 (agar mendapatkan jangkauan maksimum). Sehingga data ke-25 adalah <img id="output" src="https://latex.codecogs.com/svg.image?125-24=101" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />.</div><div class="separator" style="clear: both; text-align: justify;"><br /></div><div class="separator" style="clear: both; text-align: justify;">Maka <img id="output" src="https://latex.codecogs.com/svg.image?J=101-1=100" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><br /><br /><p></p><p style="text-align: center;"><br /></p></div>Unknownnoreply@blogger.com0Jalan Tukad Badung XXI No.17b, Semawang, Renon, Kecamatan Denpasar Selatan, Kota Denpasar, Bali 80226, Indonesia-6.2362556 106.8431776-6.5092617297873794 106.568519396875 -5.96324947021262 107.117835803125tag:blogger.com,1999:blog-5861188404368302411.post-77156369938652627172022-06-23T20:12:00.009-07:002022-06-23T20:14:00.491-07:00Soal Latihan Olimpiade For BeginnerAssalamualaikum teman teman semua,<div>Jumpa kembali dengan saya Joe dalam cara asyik belajar matematika. Pada kesempatan kali ini saya ingin berbagi soal dan pembahasan tentang soal olimpiade. Tapi tenang untuk soal olimpiade yang saya bagikan kali ini ga rumit kok, karena levelnya beginner. Jadi buat kalian yang masih baru belajar untuk olimpiade matematika dan baru newbie, ikutin terus blog saya ya :). Udah daripada lama-lama dan nanti dilalerin, mending simak soal berikut ini!</div><div> </div>
<iframe allow="autoplay" height="480" src="https://drive.google.com/file/d/13IKtERyND6CR8UaknHx3pduVR3mCQFm_/preview" width="640"></iframe><div><div><br /></div><div><b>Penyelesaian:</b></div><div><br /></div><div><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 115%; text-indent: -0.25in;">Jika </span><img id="output" src="https://latex.codecogs.com/svg.image?a+b+c=0" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 115%; text-indent: -0.25in;"> </span><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 115%; text-indent: -0.25in;">, nilai dari </span><img id="output" src="https://latex.codecogs.com/svg.image?\frac{2a}{b}+\frac{3b}{c}+\frac{4c}{a}+\frac{4b}{a}+\frac{3a}{c}+\frac{2c}{b}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 115%; text-indent: -0.25in;"> </span><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 115%; text-indent: -0.25in;">adalah …</span></div><div><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 115%; text-indent: -0.25in;"><br /></span></div><div><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 115%; text-indent: -0.25in;">Berdasarkan soal, </span><img id="output" src="https://latex.codecogs.com/svg.image?a+b=%20-c,\%20b+c=-a,\%20a+c=-b" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\frac{2a}{b}+\frac{2c}{b}=\frac{2(a+c)}{b}=\frac{2(-b)}{b}=-2" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div> <img id="output" src="https://latex.codecogs.com/svg.image?1^{2}+2^{2}+...+n^{2}=\frac{n(n+1)(2n+1)}{6}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\frac{4c}{a}+\frac{4b}{a}=\frac{4(c+b)}{a}=\frac{4(-a)}{a}=-4" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?\frac{3b}{c}+\frac{3a}{c}=\frac{3(b+a)}{c}=\frac{3(-c)}{c}=-3" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div>Nilai dari <img id="output" src="https://latex.codecogs.com/svg.image?\frac{2a}{b}+\frac{3b}{c}+\frac{4c}{a}+\frac{4b}{a}+\frac{3a}{c}+\frac{2c}{b}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> adalah -2 + (-3) + (-4)= -9</div><div><br /></div><div><br /></div><div><br /></div><div>Nilai dari <img id="output" src="https://latex.codecogs.com/svg.image?^{}1^{2}+3^{2}+5^{2}+...+49^{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> adalah ....</div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1^{2}+3^{2}+...+49^{2}=(1^{2}+2^{2}+...+49^{2})-(2^{2}+4^{2}+...+48^{2})" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1^{2}+2^{2}+...+49^{2}=(1^{2}+2^2+3^3+...+49^2)-4(1^2+2^2+...+24^2)" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div>Jika <img id="output" src="https://latex.codecogs.com/svg.image?1^{2}+2^{2}+...+n^{2}=\frac{n(n+1)(2n+1)}{6}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />, maka</div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1^2+2^2+3^2+...+49^2=\frac{49\cdot%2050\cdot%2099}{6}=40425" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?4(1^2+2^2+...+24^2)=4\cdot%20\frac{24\cdot%2025\cdot%2049}{6}=19600" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1^2+3^2+...+49^2=40425-19600=20825" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><br /></div><div><br /></div><div>Nilai dari <img id="output" src="https://latex.codecogs.com/svg.image?1^3+3^3+...+49^3=" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> adalah ....</div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1^3+3^3+...+49^3=(1^3+2^3+3^3+...+49^3)-(2^3+4^3+...+48^3)" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1^3+3^3+...+49^3=(1^3+2^3+...+49^3)-8(1^3+2^3+...+24^3)" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div>Jika <img id="output" src="https://latex.codecogs.com/svg.image?1^3+3^3+...+n^3=\left%20(%20\frac{n\cdot%20(n+1)}{2}%20\right%20)^{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />, maka </div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1^3+2^3+...+49^3=\left%20(%20\frac{49\cdot%2050}{2}%20\right%20)^2=1500625" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?8(1^3+2^3+...+24^3)=8\cdot%20\left%20(%20\frac{24\cdot%2025}{2}%20\right%20)^2=720000" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?1^3+3^3+...+49^3=1500625-720000=780625" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><br /></div><div><br /></div><div><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 18.4px; text-indent: -24px;">Jika </span><img id="output" src="https://latex.codecogs.com/svg.image?x^2-4=x" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; text-indent: -24px; vertical-align: middle;" /><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 18.4px; text-indent: -0.25in;"> </span><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; line-height: 18.4px; text-indent: -0.25in;">, maka nilai dari </span><img id="output" src="https://latex.codecogs.com/svg.image?3x^3-15x+5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; text-indent: -24px; vertical-align: middle;" /><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"> adalah ….</span></div><div><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></div><div><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;">Berdasarkan soal, maka </span><img id="output" src="https://latex.codecogs.com/svg.image?x^2-x=4" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?3x(x^2-x)+3x^2-15x+5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?3x\cdot%204+3x^2-15x+5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?12x+3x^2-15x+5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?3x^2-3x+5" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?12+5=17" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -.25in;"><!--[if !supportLists]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">1.</span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -.25in;"><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -.25in;"><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></p></div><div><br /></div><div><br /></div><div><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -.25in;"><br /></p></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Arial Unicode MS"; mso-hansi-theme-font: major-bidi;"> </span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><br /></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><br /></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><br /></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: Times New Roman, serif;"><br /></span><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"></span></p><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><p></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><br /></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: "Times New Roman", "serif"; font-size: 12pt; text-indent: -0.25in;"><br /></span></p></div><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Arial Unicode MS"; mso-hansi-theme-font: major-bidi;"><o:p></o:p></span></p><p class="MsoListParagraph" style="mso-list: l0 level1 lfo1; tab-stops: .25in; text-indent: -0.25in;"><!--[if !supportLists]--><span style="font-family: "Times New Roman","serif"; font-size: 12pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">1.</span></span></p></div>Unknownnoreply@blogger.com1Gg. Menteng Wadas VII No.10, Ps. Manggis, Kecamatan Setiabudi, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12970, Indonesia-6.2121925 106.8428916-7.3040343776547179 105.7442587875 -5.1203506223452813 107.9415244125tag:blogger.com,1999:blog-5861188404368302411.post-43820597454693402262022-06-16T18:15:00.011-07:002022-06-16T18:18:03.100-07:00<p></p><div class="separator" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjfpiBfgc7TRHH3y6maXVAnH0CBX61m_3aZnB8OCC1CXMdD6dvQWTLtvIlXIlZwfZO-svLuc7loIytN9r1Vu1d0g3RwzWdHk62CjoLSOUu0nH5fCcH2ruKSCYvrqq9SddYHgbdDInhhMExzC8YSg4cg-dr7RCaa8tpkqG6NL8oDr7aaiNolUyfzwaE1xg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="241" data-original-width="264" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEjfpiBfgc7TRHH3y6maXVAnH0CBX61m_3aZnB8OCC1CXMdD6dvQWTLtvIlXIlZwfZO-svLuc7loIytN9r1Vu1d0g3RwzWdHk62CjoLSOUu0nH5fCcH2ruKSCYvrqq9SddYHgbdDInhhMExzC8YSg4cg-dr7RCaa8tpkqG6NL8oDr7aaiNolUyfzwaE1xg" width="263" /></a></div><br /> Assalamualaikum teman teman,<p></p><p>Ketemu kembali dengan aku, joe melalui math is fun. Pada kesempatan kali ini, ijinkanlah aku membahas beberapa soal matematika mengenai phytagoras. Kita tahu bahwa phytagoras merupakan salah satu teorema yang terkenal hingga sekarang yang berhubungan dengan sisi miring dari sebuah segitiga siku siku. hingga kini, terdapat kurang lebih 200 model pembuktian teorema phytagoras. begitu juga penggunaannya, phytagoras digunakan pada perhitungan geometri. Langsung saya, yuk disimak pembahasanku.</p><p><br /></p><p></p><div style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiyfZHniN_uAh6eRMI9tYEzWp85GAvlmoi9RAITr8C84Ns1uAGtJHuIQzMcASm7Ir3LucNL1M_9lB1EVNy3HHO6YtI_sXUP7cPdjHG0iPhmZQUwluEVenjFw_vNelIKJMiOKK5_6m7FUUH2CXJensEczEt5Cb8FpEi-ccwLj1J2Vo0NF5CmJ5J1pcnrjg"><img alt="" data-original-height="412" data-original-width="630" src="https://blogger.googleusercontent.com/img/a/AVvXsEiyfZHniN_uAh6eRMI9tYEzWp85GAvlmoi9RAITr8C84Ns1uAGtJHuIQzMcASm7Ir3LucNL1M_9lB1EVNy3HHO6YtI_sXUP7cPdjHG0iPhmZQUwluEVenjFw_vNelIKJMiOKK5_6m7FUUH2CXJensEczEt5Cb8FpEi-ccwLj1J2Vo0NF5CmJ5J1pcnrjg=s16000" /></a></div><div style="text-align: center;"><br /></div><div style="text-align: justify;"><b>Pembahasan:</b></div><div style="text-align: justify;">Karena diketahui tinggi menara adalah 12 meter, maka kita tentukan terlebih dahulu jarak menara dengan M2</div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?M_{2}menara=\sqrt{13^{2}-12^{2}}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?M_{2}menara=%205" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><p><img id="output" src="https://latex.codecogs.com/svg.image?M_{1}menara=%20\sqrt{20^{2}-12^{2}}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?M_{1}menara=%2016" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?M_{1}\%20M_{2}=16%20-%205=11\%20cm" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjsWthF6AaAClbrn-vq60MJM7qvK6EwkmfeSZuNx1-qQK2nLJiOxcshbyYXxWquY8GwASbLBg3JjPHeoQXtxEFRcqJG-s0hn8aytNW7YgIlC7oWUAdBv6sggsjlHULiZMjropMGkG7uSV73I8e7KwZEX_WWZ3O4bVg4OqDqTypuDbEYrvgXoPn2YHWsPw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="150" data-original-width="600" height="160" src="https://blogger.googleusercontent.com/img/a/AVvXsEjsWthF6AaAClbrn-vq60MJM7qvK6EwkmfeSZuNx1-qQK2nLJiOxcshbyYXxWquY8GwASbLBg3JjPHeoQXtxEFRcqJG-s0hn8aytNW7YgIlC7oWUAdBv6sggsjlHULiZMjropMGkG7uSV73I8e7KwZEX_WWZ3O4bVg4OqDqTypuDbEYrvgXoPn2YHWsPw=w640-h160" width="640" /></a></div><br /><p></p><div style="text-align: justify;"><b>Pembahasan:</b></div><div><img id="output" src="https://latex.codecogs.com/svg.image?jarak\%20Maid\%20terhadap\%20titik\%20awal\%20=\sqrt{18^{2}+24^{2}}=30\%20m." style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhKKOhKY0L2vEnVawBxK_XZ7GR_YLgxpUdwueGPvgw6y126il4n3QcskiBSVoCx3m-gb9LBKTg8m_jdk2IIr5leLCBrN5z1Y9tyMhTbpcaQiEGEuM5Yr4nthC89REP7eIzhaKVFYlVLFmopuAIDE0OGb64NnUEcy0Cht6ph-Iq25rBdSMdSoet7FFnskg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="151" data-original-width="602" height="160" src="https://blogger.googleusercontent.com/img/a/AVvXsEhKKOhKY0L2vEnVawBxK_XZ7GR_YLgxpUdwueGPvgw6y126il4n3QcskiBSVoCx3m-gb9LBKTg8m_jdk2IIr5leLCBrN5z1Y9tyMhTbpcaQiEGEuM5Yr4nthC89REP7eIzhaKVFYlVLFmopuAIDE0OGb64NnUEcy0Cht6ph-Iq25rBdSMdSoet7FFnskg=w640-h160" width="640" /></a></div><br /><b>Pembahasan:</b></div><div>Berdasarkan ilustrasi diatas, kita dapat gambarkan sebagai berikut,</div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhs822nQq7n1wBbrDwQCgXuBWepQ_QJjOZDglnOjA6c89TyCj3V98twKFTRDL-0Sar-D-eH5GTEL-veyZ0B7WJSoiT_uH_r-jWeKxojgE9yIt4JKFR19nRSqiV4YG37HoOnE1lCQq69sk7WJcmosRNbn8A_pK7_ydqhp5rCIFu80c4QssqT12MHVdpFLQ" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="217" data-original-width="221" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEhs822nQq7n1wBbrDwQCgXuBWepQ_QJjOZDglnOjA6c89TyCj3V98twKFTRDL-0Sar-D-eH5GTEL-veyZ0B7WJSoiT_uH_r-jWeKxojgE9yIt4JKFR19nRSqiV4YG37HoOnE1lCQq69sk7WJcmosRNbn8A_pK7_ydqhp5rCIFu80c4QssqT12MHVdpFLQ" width="244" /></a></div><br /><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">Berdasarkan gambar diatas, kita perlu menentukan tinggi tembok selain bagian yang berwarna merah, yakni</div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?=\sqrt{3,9^{2}-1,5^{2}}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?=3,6\%20meter" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?Bagian\%20berwarna\%20merah=4,0%20-3,6=0,4\%20m." style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?=40\%20cm." style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh8CUmzIVb6gYjKpe02BrAkMxS2UKK5HTB4gTRBg8Z2gQJFtPXlLQEHfPY3x5ZZfc_6lj4p990TPf2rhMjULcrfD7pGwA2vaK-525ZMeifDB4KC1I-AL1Y6_VDB0Iwl9anfOj1UzwVRl9F7oZe6xXS1NjPL49MKPsHN0on1FoKo3OJjpyw40LCXQ7Ei5Q" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="134" data-original-width="608" height="141" src="https://blogger.googleusercontent.com/img/a/AVvXsEh8CUmzIVb6gYjKpe02BrAkMxS2UKK5HTB4gTRBg8Z2gQJFtPXlLQEHfPY3x5ZZfc_6lj4p990TPf2rhMjULcrfD7pGwA2vaK-525ZMeifDB4KC1I-AL1Y6_VDB0Iwl9anfOj1UzwVRl9F7oZe6xXS1NjPL49MKPsHN0on1FoKo3OJjpyw40LCXQ7Ei5Q=w640-h141" width="640" /></a></div><br /><b>Pembahasan:</b></div><div style="text-align: justify;">Langkah pertama adalah kita perlu menggambar lapangan tersebut terlebih dahulu.</div><div style="text-align: justify;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiVYuuFdyvWps1l44HaoDUeubnYu8hA2dFrSpF96kBMwg8k2kvZSDrme4_AINqZpVwMmh-kzcQKiG77hsBngtH0zLI1Kgr0_Jqr22fp68u1UbAzwbVI0D7YL8DUgOzX2K3j1QD0r9Iw1SpyWifPV4i6dGFK0viyBfJMdyZeRpR31y2EjFtKibJcGNhW-g" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="154" data-original-width="217" height="142" src="https://blogger.googleusercontent.com/img/a/AVvXsEiVYuuFdyvWps1l44HaoDUeubnYu8hA2dFrSpF96kBMwg8k2kvZSDrme4_AINqZpVwMmh-kzcQKiG77hsBngtH0zLI1Kgr0_Jqr22fp68u1UbAzwbVI0D7YL8DUgOzX2K3j1QD0r9Iw1SpyWifPV4i6dGFK0viyBfJMdyZeRpR31y2EjFtKibJcGNhW-g=w200-h142" width="200" /></a></div><br /><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">Karena kelilingnya adalah 100 m, maka panjang tiap sisi adalah </div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?\frac{100}{4}=25\%20cm" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">Maka langkah berikutnya adalah menentukan panjang diagonal yang kedua dengan menggunakan rumus phytagoras.</div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?\frac{1}{2}D_{2}=\sqrt{25^{2}-24^{2}}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?\frac{1}{2}D_{2}=7\%20m" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> </div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?D_{2}=14\%20m" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?L=\frac{D_{1}\cdot%20D_{2}}{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?L=\frac{48\cdot%20%2014}{2}=336\%20m^{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiD_CXZ3wOh8WVORGAr7urPKrAl2PhELetoExf7DWB2wWQPkostsj4XW20GS-8p5EhcWNAzLK4w4JokzflU9W9FrV5nRwyXE0eLiitokZ1I1_XuGU8PoglRTPu4GwJQ8Br3lFnRq633npQDpnddgxrNDHxMhIRFLKGRzgQVzzb5L-lpNZVMrx2HBzulkw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="475" data-original-width="639" height="476" src="https://blogger.googleusercontent.com/img/a/AVvXsEiD_CXZ3wOh8WVORGAr7urPKrAl2PhELetoExf7DWB2wWQPkostsj4XW20GS-8p5EhcWNAzLK4w4JokzflU9W9FrV5nRwyXE0eLiitokZ1I1_XuGU8PoglRTPu4GwJQ8Br3lFnRq633npQDpnddgxrNDHxMhIRFLKGRzgQVzzb5L-lpNZVMrx2HBzulkw=w640-h476" width="640" /></a></div><div style="text-align: justify;"><br /></div><b>Pembahasan:</b></div><div style="text-align: justify;">Jika <img id="output" src="https://latex.codecogs.com/svg.image?\Delta%20ADE\cong%20\Delta%20BCE" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />, maka</div><div style="text-align: justify;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEic27FvIk1aGEKAjf2g1Uhd9QNUE2ePYli8I4Jl3tsMZtBL80KDSUgurKqBq2EOanEgZ-lNfxJBkjfPTq4IQ7fjqJIJfxnfyenKAqpieZ-bDo6lQMSWda1k0Lo4-FL7PB21ONTr5I99mUDX1rHXBhG8UKlDEqW4NE24UxVgn_qtogOUd6-yj_j2tDLLfg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="194" data-original-width="107" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEic27FvIk1aGEKAjf2g1Uhd9QNUE2ePYli8I4Jl3tsMZtBL80KDSUgurKqBq2EOanEgZ-lNfxJBkjfPTq4IQ7fjqJIJfxnfyenKAqpieZ-bDo6lQMSWda1k0Lo4-FL7PB21ONTr5I99mUDX1rHXBhG8UKlDEqW4NE24UxVgn_qtogOUd6-yj_j2tDLLfg" width="132" /></a></div><br /><br /><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">Berdasarkan teorema phytagoras dengan pembuktian James Abraham Garfield, kita tentukan sisi miring dari dari segitiga tersebut </div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?Sisi\%20miring=\sqrt{12^{2}+16^{2}}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?Sisi\%20miring=20\%20cm" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;">Lalu kita tentukan luas segitiga yang berada di tengah trapesium tersebut dengan,</div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?L\Delta%20=\frac{a\cdot%20t}{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?L\Delta%20=\frac{20\cdot%2020}{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div style="text-align: justify;"><br /></div><div style="text-align: justify;"><img id="output" src="https://latex.codecogs.com/svg.image?L\Delta%20=200\%20cm" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><p></p>Unknownnoreply@blogger.com0QRRR+WWC, RT.4/RW.2, Ps. Manggis, Kecamatan Setiabudi, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12970, Indonesia-6.2076806000000007 106.8422671-6.7536881646836147 106.29295069375 -5.6616730353163867 107.39158350625tag:blogger.com,1999:blog-5861188404368302411.post-42521565732539327652022-06-14T20:06:00.005-07:002022-06-14T20:07:28.539-07:00Pembahasan Soal Lingkaran Kelas 8 SMP<p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEijXfAwS6wR8ERfEeOLsfAm7uZalag_h9hzD-3RQdYAuugHremHOepc6rb1Pxc0y7-mt9YlvNuQV4QftlnLu1EyHH7tknlbddBKKloeSuKzg5-5P3dvXoeMW4yd_4W_suJGOgcWhRifvK_QCrE33l01hXRxpVRqpSHnTiVLEOpI3xqJbKLKbB-RT1Dv2g" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="431" data-original-width="691" height="200" src="https://blogger.googleusercontent.com/img/a/AVvXsEijXfAwS6wR8ERfEeOLsfAm7uZalag_h9hzD-3RQdYAuugHremHOepc6rb1Pxc0y7-mt9YlvNuQV4QftlnLu1EyHH7tknlbddBKKloeSuKzg5-5P3dvXoeMW4yd_4W_suJGOgcWhRifvK_QCrE33l01hXRxpVRqpSHnTiVLEOpI3xqJbKLKbB-RT1Dv2g" width="320" /></a></div><br /> Assalamualaikum teman teman, bertemu lagi dengan saya, Joe. Kita tahu bahwa lingkaran merupakan salah satu materi yang sangat penting, hal ini dikarenakan semua konsep-konsep lingkaran aplikatif dalam kehidupan sehari-hari. Sebagai mata pelajaran yang aplikatif, lingkaran diberikan pada semua jenjang sekolah, mulai dari Sekolah Dasar hingga Sekolah Menengah keatas. Ironisnya, banyak siswa masih mengeluhkan perihal materi lingkaran ini. Pada kesempatan kali ini, saya ingin membahas beberapa soal menarik mengenai lingkaran pada tingkat sekolah menengah pertama kelas 8. Semoga pembahasan kali ini bermanfaat ya! <br /><br /><p></p><p></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEitYgLDa-Z5b7WD4TohvpAFTGd_X0_ovb1bBfwUMoFqBXZcFf6qTuN3jntM__QOznQYnQ6lf_OEfLfvwu_CpLJcQEPVC9wQyQcr630ORyFd0vDo5HpOHuecB77FARG2oHEOqtrmbv0vhaWNh6hZRT5nY_eSrcntHfVwrYkBQrCl1YjuiO9-W9Q1owgdaA" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="367" data-original-width="647" src="https://blogger.googleusercontent.com/img/a/AVvXsEitYgLDa-Z5b7WD4TohvpAFTGd_X0_ovb1bBfwUMoFqBXZcFf6qTuN3jntM__QOznQYnQ6lf_OEfLfvwu_CpLJcQEPVC9wQyQcr630ORyFd0vDo5HpOHuecB77FARG2oHEOqtrmbv0vhaWNh6hZRT5nY_eSrcntHfVwrYkBQrCl1YjuiO9-W9Q1owgdaA=s16000" /></a></div></div></div><br /><b>Pembahasan:</b><p></p><p>Berdasarkan yang diketahui pada soal diatas, OC= 20 cm dan CE= 8 cm, maka kita dapat nyatakan sebagai berikut:</p><p><b></b></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><b><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg-jagu-3OARqVFPy4ILfb4mWkWhj7HPJtDyA3oEcSkmlSVcBuPdXf--pVnaX2pIkbuD6CkLmKTrwqXPnVJdicTyV7B7y3vW6bHv_Qxnay_nUkSPyuicm3ao9FLc5prxXvC27YbsTVd-s6LfDtoFuhOftw-0Wy5gnu047O7qAZow7GeoBFTmMN_xL6c9w" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="199" data-original-width="208" height="240" src="https://blogger.googleusercontent.com/img/a/AVvXsEg-jagu-3OARqVFPy4ILfb4mWkWhj7HPJtDyA3oEcSkmlSVcBuPdXf--pVnaX2pIkbuD6CkLmKTrwqXPnVJdicTyV7B7y3vW6bHv_Qxnay_nUkSPyuicm3ao9FLc5prxXvC27YbsTVd-s6LfDtoFuhOftw-0Wy5gnu047O7qAZow7GeoBFTmMN_xL6c9w" width="251" /></a></b></div><b><br /><br /></b></div><b><br /><br /></b><p></p><p><b><br /></b></p><p><b><br /></b></p><p><b><br /></b></p><p><b><br /></b></p><p><br /></p><p>Berdasarkan gambar diatas, kita dapat tentukan panjang BE dengan menggunakan rumus phytagoras</p><p><img id="output" src="https://latex.codecogs.com/svg.image?BE=\sqrt{20^{2}-12^{2}}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?BE=\sqrt{256}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?BE=16" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p>Dengan cara serupa kita tentukan nilai dari AE.</p><p><img id="output" src="https://latex.codecogs.com/svg.image?AE=\sqrt{20^{2}-12^{2}}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?AE=\sqrt{256}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?AE=16" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p>Nilai dari AB= BE + AE</p><p>AB= 16+16 = 32 cm</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj4MNJdAKZvW8BFbHT1ywhJVa7vlk6ppUBpi5ZUy2JDyAfjJyFkJppF9eBoM6tMpJxu4pRl_-_99x0jkTHI_4jNJna9y32aaHpL2B9x0LfUBG8Lcm1VApmws7eIa1aRNpX9nB4lq7K7jyBaXz_XRXEQpAOM0dgt-2Zcg_BDp6USL6BvyoV1w40i-0L7mg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="294" data-original-width="647" src="https://blogger.googleusercontent.com/img/a/AVvXsEj4MNJdAKZvW8BFbHT1ywhJVa7vlk6ppUBpi5ZUy2JDyAfjJyFkJppF9eBoM6tMpJxu4pRl_-_99x0jkTHI_4jNJna9y32aaHpL2B9x0LfUBG8Lcm1VApmws7eIa1aRNpX9nB4lq7K7jyBaXz_XRXEQpAOM0dgt-2Zcg_BDp6USL6BvyoV1w40i-0L7mg=s16000" /></a></div><p></p><p><b>Pembahasan:</b></p><p>Berdasarkan soal diatas, jika kita lihat dari berbagai arah maka akan tampak gambar dua buah bangun seperempat lingkaran yang identik sehingga jika kita satukan akan menjadi bangun setengah lingkaran. Karena dua bangun seperempat lingkaran tersebut beberapa bagiannya saling menumpuk, maka untuk menentukan daerah yang diarsir (daerah tumpukannya) kita dapat peroleh dengan mengurangkannya dengan persegi. Sehingga,</p><p><img id="output" src="https://latex.codecogs.com/svg.image?L%20_{arsir}=L_{setengah%20lingkaran}-L_{persegi}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?L%20_{arsir}=\pi%20\cdot%20r\cdot%20r-s\cdot%20s" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?L%20_{arsir}=\frac{1}{2}\cdot%20\3.14\cdot%2020\cdot%2020%20-%2020\cdot%2020" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?L%20_{arsir}=628%20-%20400" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?L%20_{arsir}=228%20cm^{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh5DbNVw-CBfglZZGQqZXOoESr4EnrWDIOBaEMhe3YD61iCorVKAI7L9AgkDc04gzE6HpyTPM1eQkyqmLBFUdEXRf0f1h7iCWn5g9kU1BrzOjAEAVHFeVpLjaZwXHMVu-xdhkKiwfOJyipTR-B0VtMkMtI4IIgXVw9ZJ-tQCMdPXfHzDr1R32jUdZq7hw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="442" data-original-width="650" src="https://blogger.googleusercontent.com/img/a/AVvXsEh5DbNVw-CBfglZZGQqZXOoESr4EnrWDIOBaEMhe3YD61iCorVKAI7L9AgkDc04gzE6HpyTPM1eQkyqmLBFUdEXRf0f1h7iCWn5g9kU1BrzOjAEAVHFeVpLjaZwXHMVu-xdhkKiwfOJyipTR-B0VtMkMtI4IIgXVw9ZJ-tQCMdPXfHzDr1R32jUdZq7hw=s16000" /></a></div><p></p><p><b>Pembahasan:</b></p><p>Untuk menyelesaikan soal diatas, kita perlu membaca baik baik seluruh informasi yang terdapat pada paragraf diatas. Berdasarkan paragraf diatas, terdapat sebuah informasi penting pada paragraf yang kedua, yakni pada kata <i>setelah kita menghitung keliling lingkaran dan diameter lingkaran, kita tentukan nilai phi tersebut dengan membagi keduanya. Maka,</i></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\pi=\frac{Keliling%20lingkaran}{Diameter}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\pi=\frac{63}{20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p><img id="output" src="https://latex.codecogs.com/svg.image?\pi=3,15" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p>Jadi nilai <img id="output" src="https://latex.codecogs.com/svg.image?\pi" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> berdasarkan pengamatan dan perhitungan Tono adalah 3,15</p><p><br /></p><p><br /></p>Unknownnoreply@blogger.com0GXMG+WG Cikahuripan, Kabupaten Bogor, Jawa Barat, Indonesia-6.4652381 106.976372-15.092735077650335 98.1873095 2.1622588776503351 115.7654345tag:blogger.com,1999:blog-5861188404368302411.post-2341050383056887852022-06-14T15:44:00.012-07:002022-06-14T15:46:15.815-07:00Pembahasan Soal Gradien dan Persamaan Garis lurus<p> Assalamualaikum teman teman,</p><p>Berjumpa kembali dengan saya Joe yang unik ini.</p><p>Pada kesempatan kali ini, saya ingin membahas soal-soal mengenai gradien dan persamaan garis lurus. Kita tahu semua, materi gradien dan persamaan garis lurus merupakan salah satu materi yang dianggap susah oleh kalian. Mengapa? Karena didalam materi ini kita belajar bermacam macam hal, mulai dari menentukan kemiringan suatu bidang yang biasa kita kenal dengan istilah gradien, mendefinisikan persamaan garis lurus, menentukan persamaan garis lurus dengan berbagai kondisi, hingga menentukan persamaan garis pada sebuah koordinat kartesius. </p><p>Agar kesulitan diatas sedikit dapat terobati dan bahkan semoga terobati semua, kita bahas yuk beberapa soal terpilih yang dibuat oleh Joe. Penasaran dengan soal seperti apa? Langsung saja yuk!</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhI480yHPOwyirHZ6pBkTR1cZgBiQFxoPxjiRyYPtj5D-pw5CQQEVUoeMGL_WtV-sRcV6Lg8s_ZvtlV_y7myOeTPEm9AKZPdKDiiIv5pqqV0u9JkO29plT2rT1CK-_4Gb_Nhkz6-hu_tsjOlTByMNDTgDaJKmslyWV2zVsTiYYy0Cym7JrEKiCVEBjJGw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="311" data-original-width="671" height="296" src="https://blogger.googleusercontent.com/img/a/AVvXsEhI480yHPOwyirHZ6pBkTR1cZgBiQFxoPxjiRyYPtj5D-pw5CQQEVUoeMGL_WtV-sRcV6Lg8s_ZvtlV_y7myOeTPEm9AKZPdKDiiIv5pqqV0u9JkO29plT2rT1CK-_4Gb_Nhkz6-hu_tsjOlTByMNDTgDaJKmslyWV2zVsTiYYy0Cym7JrEKiCVEBjJGw=w640-h296" width="640" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: left;"><b><br /></b></div><div class="separator" style="clear: both; text-align: left;"><b>Pembahasan:</b></div><div class="separator" style="clear: both; text-align: justify;">Untuk menyelesaikan soal diatas, kita perlu memperhatikan informasi yang terdapat pada bacaan diatas. berdasarkan bacaan diatas, kita ketahui bahwa gradien garis dinyatakan dengan,</div><div class="separator" style="clear: both; text-align: justify;"><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?m%3D%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></div><div class="separator" style="clear: both; text-align: justify;">Yang berarti perbandingan antara bidang vertikal dan bidang horizontal.</div><div class="separator" style="clear: both; text-align: justify;">Sehingga, kita dapat menyatakan bahwa semakin kecil nilai dari bidang vertikal, maka gradien dari sebuah permukaan adalah semakin kecil. Misalkan nilai dari bidang vertikal adalah nol atau dengan kata lain bidang tersebut datar, maka gradien atau kemiringan bidang tersebut adalah nol. Sehingga jawaban yang paling tepat adalah gradien dari bidang yang datar adalah nol.</div><div class="separator" style="clear: both; text-align: left;"><br /></div><div class="separator" style="clear: both; text-align: left;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiMD4qlB9vo7iExY5gUTO3s_IgD43uN8GKBJ9HDemrEMCNDCHaU_MIDPv5uNj7BD8oyDaZVAsIJBJ-3T4W7iJA3D-UYlYLij5D5qoK41LxVMjTNzWhIZAwXyWbrRIW5VARz9ZbZR2bo-3v81Rta7THY3PJknOIqji9zSV8Iw_bzeoa3Ph6PDU2oJXeWAQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="459" data-original-width="674" height="436" src="https://blogger.googleusercontent.com/img/a/AVvXsEiMD4qlB9vo7iExY5gUTO3s_IgD43uN8GKBJ9HDemrEMCNDCHaU_MIDPv5uNj7BD8oyDaZVAsIJBJ-3T4W7iJA3D-UYlYLij5D5qoK41LxVMjTNzWhIZAwXyWbrRIW5VARz9ZbZR2bo-3v81Rta7THY3PJknOIqji9zSV8Iw_bzeoa3Ph6PDU2oJXeWAQ=w640-h436" width="640" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></div><p></p><div class="separator" style="clear: both;"><b>Pembahasan:</b></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both; text-align: justify;">Berdasarkan informasi yang terdapat pada laporan pengamatan diatas, Kita ketahui bahwa tangga bagian kanan memiliki kemiringan yang lebih besar daripada tangga bagian kiri. Hal tersebut dibuktikan dengan nilai gradien siswa tersebut. Sehingga tangga lebih bagian kiri lebih memudahkan untuk dijalani, sehingga komentar dari anak tersebut adalah <b>salah, </b>sedangkan kesimpulan anak tersebut adalah <b>benar.</b></div><div class="separator" style="clear: both; text-align: justify;"><b><br /></b></div><div class="separator" style="clear: both;"><b><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiyDqczEIijLuk4A4GjIIYJAaytY5nOXxXVrVglKqYfytnOZeNFpF9Gg8kxWifcZoe4sMLNXFPrQIq_SDB6XWRQnDmJFcRgSj6SYXI3BWtZWHmBLIIbUsLyx320wyn_lM6mNY3RwY5aUy8A6Q_8q8nMkIWfUS_WMKdjJqCW2X0wgFWcTzaTZGfDqf842Q" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="275" data-original-width="674" height="261" src="https://blogger.googleusercontent.com/img/a/AVvXsEiyDqczEIijLuk4A4GjIIYJAaytY5nOXxXVrVglKqYfytnOZeNFpF9Gg8kxWifcZoe4sMLNXFPrQIq_SDB6XWRQnDmJFcRgSj6SYXI3BWtZWHmBLIIbUsLyx320wyn_lM6mNY3RwY5aUy8A6Q_8q8nMkIWfUS_WMKdjJqCW2X0wgFWcTzaTZGfDqf842Q" width="640" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhoOId3m-QgWENT2CyDIoxioteTKfje3ivd_SZ-rMDwI-44bAIa4A17XW1eKuNYfRQzHXDoVu81dWz5jEOrjBk_egYLfd_gOPspBqo29eOpjqEsbioy6fX2G8Ndi0x7leojWHR_ejEoeuYLrCcQDQ36pHD1lzwytSdbnWE18wYesdAjn085ba1qlk9kNQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="376" data-original-width="620" height="388" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoOId3m-QgWENT2CyDIoxioteTKfje3ivd_SZ-rMDwI-44bAIa4A17XW1eKuNYfRQzHXDoVu81dWz5jEOrjBk_egYLfd_gOPspBqo29eOpjqEsbioy6fX2G8Ndi0x7leojWHR_ejEoeuYLrCcQDQ36pHD1lzwytSdbnWE18wYesdAjn085ba1qlk9kNQ" width="640" /></a></div><br /></b><div class="separator" style="clear: both;"><b>Pembahasan:</b></div><div class="separator" style="clear: both;">Berdasarkan informasi yang terdapat pada bacaan diatas, kita ketahui bahwa untuk pengguna kursi roda, gradien yang diperbolehkan tidak boleh melebih dari 0,15. berdasarkan gambar gambar diatas, maka kita perlu menentukan gradien terlebih dahulu dengan menggunakan rumus,</div></div><img id="equationview" name="equationview" src="https://latex.codecogs.com/gif.latex?m%3D%5Cfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D" style="font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; font-size: 12px; margin: 10px; text-align: center;" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program." /></div><div class="separator" style="clear: both;">Untuk pilihan A, <img id="output" src="https://latex.codecogs.com/svg.image?m=\frac{5}{12}=0,416" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (tidak memenuhi)</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">Untuk pilihan B, <img id="output" src="https://latex.codecogs.com/svg.image?m=\frac{10}{24}=0,416" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (tidak memenuhi)</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">Untuk pilihan C, <img id="output" src="https://latex.codecogs.com/svg.image?m=\frac{2}{30}=0,06" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (tidak memenuhi)</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">Untuk pilihan D, <img id="output" src="https://latex.codecogs.com/svg.image?m=\frac{14}{48}=0,291" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> (tidak memenuhi)</div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;">Berdasarkan keempat pilihan jawaban diatas, maka pilihan C adalah yang sesuai untuk ketentuan kursi roda. </div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEg9nbzjjMOdo6w-Js8wKGYSO9zp1mNc_Kd7bxAQb4BGA8q_2hv3vU94vVg9CExcWAQ5SuIdl1VlbJEcHJABo48gX9o0xqAm6iKNGp6ZfPytBgeErnxSXFW-cXpYVH2ImOcLARn_EOs5PLUujccUligf59Ketawid1A_mXHxdWFqvT2GbNdoEXWWbpLmiA" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="198" data-original-width="670" height="190" src="https://blogger.googleusercontent.com/img/a/AVvXsEg9nbzjjMOdo6w-Js8wKGYSO9zp1mNc_Kd7bxAQb4BGA8q_2hv3vU94vVg9CExcWAQ5SuIdl1VlbJEcHJABo48gX9o0xqAm6iKNGp6ZfPytBgeErnxSXFW-cXpYVH2ImOcLARn_EOs5PLUujccUligf59Ketawid1A_mXHxdWFqvT2GbNdoEXWWbpLmiA=w640-h190" width="640" /></a></div><br /><b>Pembahasan: </b></div><div class="separator" style="clear: both;">Berdasarkan gambar diatas, kita ketahui bahwa titik potong sumbu x dan titik potong sumbu y dari gambar grafik diatas adalah (0,7) dan (8,0) sehingga, </div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?m=\frac{0-7}{8-0}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?m=-\frac{7}{8}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?y-y_{1}=m(x-x_{1})" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;">kita memiliki titik (8,0) sebagai <img id="output" src="https://latex.codecogs.com/svg.image?x_{1}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> dan <img id="output" src="https://latex.codecogs.com/svg.image?y_{1}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />, maka</div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?y-0=-\frac{8}{7}(x-8)" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?7y=-8x+64" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?7y+8x=64" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj0c4-DFgAk63BuPEWDcp1mZFnUEP1n1ZK43oiGFB3M958GoPa0p1uPXLIEJ4LvB8iA2xbZF7RfejwTbIDE7LJkjAUaTyPLHOu-KArdEUAFYVhl87RPrh4M7KskXasP2uXLSwBBWJIuUTwjeqnoDAb6NLezd9srOc7ZZnacrHvvZsvBbH1vPcn-p-arRA" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="264" data-original-width="668" height="252" src="https://blogger.googleusercontent.com/img/a/AVvXsEj0c4-DFgAk63BuPEWDcp1mZFnUEP1n1ZK43oiGFB3M958GoPa0p1uPXLIEJ4LvB8iA2xbZF7RfejwTbIDE7LJkjAUaTyPLHOu-KArdEUAFYVhl87RPrh4M7KskXasP2uXLSwBBWJIuUTwjeqnoDAb6NLezd9srOc7ZZnacrHvvZsvBbH1vPcn-p-arRA=w640-h252" width="640" /></a></div><div class="separator" style="clear: both;"><b><br /></b></div><div class="separator" style="clear: both;"><b>Pembahasan: </b></div><div class="separator" style="clear: both;">Misalkan tahun pertambahan penduduk adalah sumbu x dan kepadatan penduduk di tahun tersebut adalah y maka,</div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?y-y_{1}=m(x-x_{1})" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?m=\frac{9-2}{2021-2015}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><br /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?m=\frac{7}{6}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> </div><div class="separator" style="clear: both;">Misalkan kita gunakan <img id="output" src="https://latex.codecogs.com/svg.image?(2015,2)" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> sebagai <img id="output" src="https://latex.codecogs.com/svg.image?(x_{1},y_{1})" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> maka, </div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?y-2=\frac{7}{6}(x-2015)" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?y=\frac{7}{6}(x-2015)+2" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEheNUEg0hVK2HDefQJBhs404rHffjcc3-N2y_6jr94fwKb5-XKsjPxfywposxhl_xqdodzr-ND0lo7Ho9s85Q6h5lXF_7pjVEEUycp4-ZAspAIZwtIKPfwIr0GJbLcfwMg8Wf81aQcHJap6g9c-ooGiptozWXgS8xtDaMFWcOep9ciWWz4zkhhFHix9bw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="362" data-original-width="675" height="344" src="https://blogger.googleusercontent.com/img/a/AVvXsEheNUEg0hVK2HDefQJBhs404rHffjcc3-N2y_6jr94fwKb5-XKsjPxfywposxhl_xqdodzr-ND0lo7Ho9s85Q6h5lXF_7pjVEEUycp4-ZAspAIZwtIKPfwIr0GJbLcfwMg8Wf81aQcHJap6g9c-ooGiptozWXgS8xtDaMFWcOep9ciWWz4zkhhFHix9bw=w640-h344" width="640" /></a></div><br /><div class="separator" style="clear: both;"><b>Pembahasan: </b></div><div class="separator" style="clear: both;">Berdasarkan tabel diatas, kita dapat menentukan beberapa titik untuk menentukan persamaan garis yang sesuai, misalkan (2,14) dan (4,22).</div></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?y-y_{1}=m(x-x_{1})" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?m=\frac{22-14}{4-2}=\frac{8}{2}=4" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?y-14=4(x-2)" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?y-14=4x-8" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><img id="output" src="https://latex.codecogs.com/svg.image?y=4x+6" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div><br /></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhxAmqyena5G_Zc0s3QgH1JHpv28ofpLQKN5Vr5awEWevZujCRlR4xde-VSXV1DgSnLbxsHrVJTiNRt5af4p6kKj2J5xUBfj5omJ_iMHmuiSrOucf0SVe1batQ3M8dT0fo3Wl1YHn3Vlef3Cz13yb9UsShkacQVGril-xOps44QGMxhlc1OHtT6NohuxQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="158" data-original-width="578" height="174" src="https://blogger.googleusercontent.com/img/a/AVvXsEhxAmqyena5G_Zc0s3QgH1JHpv28ofpLQKN5Vr5awEWevZujCRlR4xde-VSXV1DgSnLbxsHrVJTiNRt5af4p6kKj2J5xUBfj5omJ_iMHmuiSrOucf0SVe1batQ3M8dT0fo3Wl1YHn3Vlef3Cz13yb9UsShkacQVGril-xOps44QGMxhlc1OHtT6NohuxQ=w640-h174" width="640" /></a></div><br /><div class="separator" style="clear: both;"><b>Pembahasan: </b></div><div class="separator" style="clear: both;">Berdasarkan soal diatas, gradien dari garis <img id="output" src="https://latex.codecogs.com/svg.image?7x+5y+9=0" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /> adalah </div></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?m=\frac{-7}{5}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;">Karena tegak lurus maka</div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?m_{1}\cdot%20m_{2}=-1" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?\frac{-7}{5}\cdot%20m_{2}=-1" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?m_{2}=\frac{5}{7}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;">Dengan menggunakan rumus menentukan persamaan garis lurus</div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?y-y_{1}=m(x-x_{1})" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?y+1=\frac{5}{7}(x+2)" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?7y+7=5x+10" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?7y-5x=-7+10" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?7y-5x=3" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?5x-7y=-3" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><img id="output" src="https://latex.codecogs.com/svg.image?5x-7y+3=0" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></div><div class="separator" style="clear: both;"><br /></div></div>Unknownnoreply@blogger.com06P2HQ7R9+5J-9.2095492999999991 111.269-41.867858980077749 76.11275 23.448760380077751 146.42525tag:blogger.com,1999:blog-5861188404368302411.post-25928365454659592592022-06-13T00:53:00.004-07:002022-06-14T15:47:24.289-07:00Pembahasan Soal Fungsi kelas 8 SMP<p> Hai kawan kawan!</p><p>Bagaimana kabarnya semuanya nih?</p><p>Assalamualaikum, Maaf nih sudah tiga tahun berlalu semenjak mimin berhenti membuat postingan di blog tercinta ini. Maklum lah, pada beberapa tahun ini penulis lumayan sibuk. Oke guys, pada kesempatan kali ini, penulis ingin membahas beberapa soal mengenai fungsi di tingkat sekolah menengah pertama. Penasaran kan? Yuk langsung kita bahas!</p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjWgopiFqqDfKF1GJHkd6C4B4FdRzdlQDr5xe94CAvUzMjxKoEUCTVaAH9wwr8CeMoGRm-XmaeJTnlVxmJY0xrKBC-scnDQbEI7HrCCEyPE4QyOkmaJLR5V4zzI5l79kRPEgGnLFZvmDomt_fSpu59a39al88cEno-MgerqfyPsOotna2sam_H25u6_eg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="199" data-original-width="670" height="190" src="https://blogger.googleusercontent.com/img/a/AVvXsEjWgopiFqqDfKF1GJHkd6C4B4FdRzdlQDr5xe94CAvUzMjxKoEUCTVaAH9wwr8CeMoGRm-XmaeJTnlVxmJY0xrKBC-scnDQbEI7HrCCEyPE4QyOkmaJLR5V4zzI5l79kRPEgGnLFZvmDomt_fSpu59a39al88cEno-MgerqfyPsOotna2sam_H25u6_eg=w640-h190" width="640" /></a></div><br /><br /></div><b>Pembahasan:</b><p></p><p>Untuk menjawab soal ini, maka kita perlu mengetahui konsep dari sebuah fungsi. Suatu fungsi terjadi jika setiap anggota domain memetakan satu kepada anggota kodomain. Dalam hal ini, kita tahu bahwa para pimpinan adalah domain dari sebuah fungsi dan pulpen pulpen dengan warna yang berbeda merupakan kodomain. Jadi pulpen yang tersisa yang paling mungkin adalah 3 pulpen, dengan asumsi setiap pimpinan mengambil pulpen yang berbeda. <br /><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgJCxB6VhngVtstBRrP-1FkkjfCKB2Ka8ZmVHNpaNl4rjVB4p0MZGQ6Ek_kjxNs-0i4vrSYRmi0EB8qK-tP49QyD5bcoYzjwszAPC3zDm0I9lRcuqeLHVDIRXPtmrin5KGiN5gqAjFYXyWnbmHsGdEyM0m1dQ_RgwfuS5RkLgeJcM3i1D9QxtIqOWqpGQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="500" data-original-width="675" height="474" src="https://blogger.googleusercontent.com/img/a/AVvXsEgJCxB6VhngVtstBRrP-1FkkjfCKB2Ka8ZmVHNpaNl4rjVB4p0MZGQ6Ek_kjxNs-0i4vrSYRmi0EB8qK-tP49QyD5bcoYzjwszAPC3zDm0I9lRcuqeLHVDIRXPtmrin5KGiN5gqAjFYXyWnbmHsGdEyM0m1dQ_RgwfuS5RkLgeJcM3i1D9QxtIqOWqpGQ=w640-h474" width="640" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><p></p><p><b>Pembahasan:</b></p><div class="separator" style="clear: both; text-align: center;"><p style="text-align: left;">Untuk menjawab soal ini, kita perlu mengamati baik baik model pemesan pelanggan melalui <i>whatsapp </i>yang terdapat pada soal. Pada soal tersebut kita lihat bahwa pelanggan atas nama Irwan Priyanto memesan lebih dari dua barang dan pelanggan atas nama M. Lutfiyatuzzaki tidak memesan, maka berdasarkan model pemesanan ini jawaban yang sesuai adalah relasi saja. (Tidak terdapat aturan dalam memesan barang)</p><p style="text-align: left;"><br /></p><p style="text-align: left;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjYZysizZdOAlPB02CZAZXoBcqFTsdfyQayDRZQIy1QTV1TjL5eF_RXbXaIjk9O0OU9p0rjkGEzeZwBDh6piP4KkiqUqgB3TTFNY-Yapo2Sn2RKfDySVy4BR3FS4F-QTzEiWKOmvazSciHL8dMb36Tge5E3HMgwd1BHCoHgVTYWSxYHRUltwCoLbvyGhA" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="353" data-original-width="673" height="336" src="https://blogger.googleusercontent.com/img/a/AVvXsEjYZysizZdOAlPB02CZAZXoBcqFTsdfyQayDRZQIy1QTV1TjL5eF_RXbXaIjk9O0OU9p0rjkGEzeZwBDh6piP4KkiqUqgB3TTFNY-Yapo2Sn2RKfDySVy4BR3FS4F-QTzEiWKOmvazSciHL8dMb36Tge5E3HMgwd1BHCoHgVTYWSxYHRUltwCoLbvyGhA=w640-h336" width="640" /></a></div><br /><p></p><p style="text-align: left;"><b>Pembahasan:</b></p><div class="separator" style="clear: both;"><p style="text-align: left;">Dalam kasus ini jenis syal yang diberikan ada 4 jenis syal. Karena syal yang berwarna putih sudah pasti dipakai oleh Jessi, maka dua orang temannya, yakni Aisyah dan Stella hany dapat memilih tiga syal yang tersisa. Untuk menentukan banyak cara dalam memilih syal, kita gunakan rumus cara menentukan banyak fungsi, yakni </p><p style="text-align: left;"><img id="output" src="https://latex.codecogs.com/svg.image?Banyak%20fungsi=n(kodomain)^{n(domain)}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p style="text-align: left;">Maka, </p><p style="text-align: left;"><img id="output" src="https://latex.codecogs.com/svg.image?Banyak%20fungsi=3^{2}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p style="text-align: left;"><img id="output" src="https://latex.codecogs.com/svg.image?Banyak%20fungsi=9" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p style="text-align: left;">Namun, karena tidak ada mungkin dua orang yang berbeda memilih barang yang sama, maka harus dikurangi dengan 3. Sehingga banyak cara dalam memilih syal adalah 9-3 = 6. </p><p style="text-align: left;"><br /></p><p style="text-align: left;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjLEA4Ox0Moh2cPk-GxojyNs0i1J7gZ2kVouVp3nDHqVaFfnn0e7mCTawfcqM0sc28HoXdaGMkpAtu6JP9rPXOsQgd5swAovV49ftEBvBzc-AKCRjgnbLQ1EeIZJiAtjp5MkUBa781j2FG2EL_OvNHOcYrD6TTfQkk1_-ZNBrDPiwBGOUhS95bvjm8wzw" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="285" data-original-width="677" height="270" src="https://blogger.googleusercontent.com/img/a/AVvXsEjLEA4Ox0Moh2cPk-GxojyNs0i1J7gZ2kVouVp3nDHqVaFfnn0e7mCTawfcqM0sc28HoXdaGMkpAtu6JP9rPXOsQgd5swAovV49ftEBvBzc-AKCRjgnbLQ1EeIZJiAtjp5MkUBa781j2FG2EL_OvNHOcYrD6TTfQkk1_-ZNBrDPiwBGOUhS95bvjm8wzw=w640-h270" width="640" /></a></div><p></p><p style="text-align: left;"><b>Pembahasan:</b></p><div class="separator" style="clear: both;"><p style="text-align: left;">Untuk menyelesaikan soal ini, kita dapat mencoba coba dengan memasukkan nilai domain (x) kedalam rumus tersebut. jika domain yang dimasukkan pada rumus yang sesuai, maka nilai range nya pun sesuai di tabel. Maka rumus yang sesuai berdasarkan tabel diatas adalah <img id="output" src="https://latex.codecogs.com/svg.image?y=x+3" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" />.</p><p style="text-align: left;"><br /></p><p style="text-align: left;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhBtPm6WJGjRfO_E-ia5vFpfbuKWm9r9E3Ky4uBsAR43LySPkMi_rH8M3CrDNm412eThyH4sWsHYOavPSApYGN8CV1uzeDWY6H6jhd2mP781Ye_XHbfk_QHLJQmZ8rb_KWe6YO_en-Pn23HMGPq-j75_hVP7j-zAo5Yoa0KjXDWZErQQKPXlNcCmgUnMg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="443" data-original-width="669" height="424" src="https://blogger.googleusercontent.com/img/a/AVvXsEhBtPm6WJGjRfO_E-ia5vFpfbuKWm9r9E3Ky4uBsAR43LySPkMi_rH8M3CrDNm412eThyH4sWsHYOavPSApYGN8CV1uzeDWY6H6jhd2mP781Ye_XHbfk_QHLJQmZ8rb_KWe6YO_en-Pn23HMGPq-j75_hVP7j-zAo5Yoa0KjXDWZErQQKPXlNcCmgUnMg=w640-h424" width="640" /></a></div><br /><p></p><p style="text-align: left;"><b>Pembahasan:</b></p><div class="separator" style="clear: both;"><p style="text-align: left;">Untuk menyelesaikan soal diatas, maka kita perlu membaca baik baik semua keterangan yang ada dalam paragraf diatas. Pada soal diatas, kita ketahui bahwa untuk menentukan jumlah sudut dalam dari sebuah bangun segi-n ditentukan dengan rumus,</p><p style="text-align: left;"><img id="output" src="https://latex.codecogs.com/svg.image?F(n)=(n-2).180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p style="text-align: left;">Maka, untuk menentukan jumlah sudut pada bangun datar segi-10 adalah dengan mensubsitusi nilai n dengan 10 sehingga didapat:</p><p style="text-align: left;"><img id="output" src="https://latex.codecogs.com/svg.image?F(n)=(10-2)\cdot%20180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p style="text-align: left;"><img id="output" src="https://latex.codecogs.com/svg.image?F(n)=8\cdot180^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p><p style="text-align: left;"><img id="output" src="https://latex.codecogs.com/svg.image?F(n)=1440^{\circ%20}" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p></div></div><p style="text-align: left;"><br /></p></div></div><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEitZVLW4HmOWBJUu3Zl4nBwEI1GaNpV84jfNonmJi7N9Rg-UnEzibBIbnB3GmI9JpsMvj00EBAyGCvdc14f641dIAOvytjFFBUD37rVeWFJCn2r_KeLoICm8ZYflLrcsrk2Xr8ivrPrpJ4Wvgckw2HDY44Ivg8_Ft-8eZBT7kQWxuW-88NMp0kaw6EJzQ" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="154" data-original-width="595" height="166" src="https://blogger.googleusercontent.com/img/a/AVvXsEitZVLW4HmOWBJUu3Zl4nBwEI1GaNpV84jfNonmJi7N9Rg-UnEzibBIbnB3GmI9JpsMvj00EBAyGCvdc14f641dIAOvytjFFBUD37rVeWFJCn2r_KeLoICm8ZYflLrcsrk2Xr8ivrPrpJ4Wvgckw2HDY44Ivg8_Ft-8eZBT7kQWxuW-88NMp0kaw6EJzQ=w640-h166" width="640" /></a></div><br /><p></p><p><b>Pembahasan:</b></p><div class="separator" style="clear: both;"><p>Berdasarkan soal diatas, kita selesaikan dengan cara mensubtitusi nilai domain padahimpunan pasangan berurutan diatas, yakni 4 dan 7 kedalam nilai x dan mensubtitusi nilai range pada himpunan pasangan berurutan, yakni 2 dan 11 kedalam nilai f(x). Sehingga:</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgtIgiUjO6y9V7iA5XWyL1BOgUTOaRC8rObl9ArcRxNGOUv2m1n2LSsS9cTgXFlPBov4HUlVpz7TrvpyjAzoAZ9sqGR-BXAN4F5P84MmkFtDr2rW8E_-RyLkyTSFjcShzK_RhlptXK3DEhJmx0cK9_qk4dTvNdPLFJRj4dPDAIm15TD0jhWd0vzc_6NZg" style="margin-left: 1em; margin-right: 1em;"><img alt="" data-original-height="40" data-original-width="86" height="93" src="https://blogger.googleusercontent.com/img/a/AVvXsEgtIgiUjO6y9V7iA5XWyL1BOgUTOaRC8rObl9ArcRxNGOUv2m1n2LSsS9cTgXFlPBov4HUlVpz7TrvpyjAzoAZ9sqGR-BXAN4F5P84MmkFtDr2rW8E_-RyLkyTSFjcShzK_RhlptXK3DEhJmx0cK9_qk4dTvNdPLFJRj4dPDAIm15TD0jhWd0vzc_6NZg=w200-h93" width="200" /></a></div><br />Yang terakhir adalah kita tentukan nilai a dan b dengan metode eliminasi substitusi diperoleh a= 3 dan b= -10<p></p><div>Maka nilai range dari fungsi tersebut jika nilai dari domain adalah 9 adalah </div><div><br /></div></div><p><img id="output" src="https://latex.codecogs.com/svg.image?f(9)=3\cdot%209%20+%20(-10)=17" style="border-style: none; box-sizing: content-box; font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, "Helvetica Neue", Arial, "Noto Sans", sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol", "Noto Color Emoji"; font-size: 16px; text-align: center; vertical-align: middle;" /></p>Unknownnoreply@blogger.com0C45Q+2FG, Pasir Tj., Kec. Tanjungsari, Kabupaten Bogor, Jawa Barat 16840, Indonesia-6.5924292 107.1387074-15.202739905179202 98.3496449 2.0178815051792025 115.9277699tag:blogger.com,1999:blog-5861188404368302411.post-82344034740761883292021-10-21T18:22:00.002-07:002021-10-21T18:22:45.107-07:00Soal Latihan PAS Matematika kelas 8<p>Assalamualaikum matholic semua!</p><p>Apakabar kalian semua! Penulis berharap kalian semua baik baik dan sehat semuanya.</p><p>Untuk mengawali penulis menulis blog ini kembali, penulis ingin berbagi dengan kalian semua mengenai soal latihan penilaian akhir semester atau yang biasa disingkat dengan PAS kelas 8. Soal yang penulis sajikan untuk kalian semua ini sangat spesial sekali, karena selain mengandung HOTS, soal ini bertipe literasi. Jadi baik sekali buat kalian yang memang sangat berminat banget dengan soal soal matematika. Ga usah berlama lama, langsung saja disimak soal saya ini.</p><p><br /></p>
<iframe allow="autoplay" height="480" src="https://drive.google.com/file/d/1qeN0q_4vEQNelKrm_5rSl5pp_1zezhl7/preview" width="640"></iframe>Unknownnoreply@blogger.com06P3F4WQ9+34-8.8623503 109.9178468-41.624247143468338 74.7615968 23.899546543468336 145.0740968tag:blogger.com,1999:blog-5861188404368302411.post-3984661463588891862020-03-30T03:19:00.001-07:002020-03-30T03:19:15.423-07:00Soal Latihan Garis garis sejajar<div class="separator" style="clear: both; text-align: center;">
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<br />Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5861188404368302411.post-16949635079385086902019-09-15T19:43:00.000-07:002019-09-15T19:43:53.116-07:00Soal Latihan Himpunan<iframe frameborder="0" height="7161" marginheight="0" marginwidth="0" src="https://docs.google.com/forms/d/e/1FAIpQLSfR4suosDZfkog1fWXAhkqqwDJSt7ZxfeUGOBNwbnBtDASAhQ/viewform?embedded=true" width="640">Memuat…</iframe>Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5861188404368302411.post-25177364923944527272019-09-13T21:12:00.000-07:002019-09-13T21:12:45.847-07:00Mengapa belajar Aljabar<div class="separator" style="clear: both; text-align: center;">
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<div class="MsoListParagraphCxSpFirst" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l0 level1 lfo1; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman"; font-size: 7pt; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: normal;"> </span><!--[endif]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;">Dalam perhitungan sehari-hari, terkadang
kita memerlukan permisalan sehingga perhitungan tersebut menjadi sederhana dan
mudah untuk diselesaikan.</span><o:p></o:p></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;">Contoh:<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;">Untuk
menyatakan dan menyelesaikan masalah terkadang terdapat kata-kata yang cukup
panjang dan berbelit-belit. Untuk mempersingkat dan menyederhanakannya kita
gunakan ekspresi aljabar. Contoh:<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;">“Ainur membeli tiga pack permen “Coco Coco”. Karena
membelinya diatas dua pack, oleh penjual ia diberi gratis lima bungkus permen
sebagai hadiah.”<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;">Dalam
matematika kita dapat persingkat kata-kata ini dengan ekspresi aljabar sebagai
berikut:<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;">Misal a</span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span style='font-size:12.0pt;line-height:
115%;font-family:"Cambria Math","serif";mso-fareast-font-family:Calibri;
mso-fareast-theme-font:minor-latin'><m:r>a</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shapetype coordsize="21600,21600" filled="f" id="_x0000_t75" o:preferrelative="t" o:spt="75" path="m@4@5l@4@11@9@11@9@5xe" stroked="f"><v:stroke joinstyle="miter"><v:formulas><v:f eqn="if lineDrawn pixelLineWidth 0"><v:f eqn="sum @0 1 0"><v:f eqn="sum 0 0 @1"><v:f eqn="prod @2 1 2"><v:f eqn="prod @3 21600 pixelWidth"><v:f eqn="prod @3 21600 pixelHeight"><v:f eqn="sum @0 0 1"><v:f eqn="prod @6 1 2"><v:f eqn="prod @7 21600 pixelWidth"><v:f eqn="sum @8 21600 0"><v:f eqn="prod @7 21600 pixelHeight"><v:f eqn="sum @10 21600 0"></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:f></v:formulas><v:path gradientshapeok="t" o:connecttype="rect" o:extrusionok="f"><o:lock aspectratio="t" v:ext="edit"></o:lock></v:path></v:stroke></v:shapetype><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 6.75pt;" type="#_x0000_t75"><v:imagedata chromakey="white" o:title="" src="file:///C:\Users\bagus\AppData\Local\Temp\msohtmlclip1\01\clip_image001.png"></v:imagedata></v:shape></span><!--[endif]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"> adalah banyak permen setiap pack<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">Maka
ekspresi aljabarnya menjadi 3a+5 </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span style='font-size:12.0pt;line-height:
115%;font-family:"Cambria Math","serif";mso-fareast-font-family:"Times New Roman";
mso-fareast-theme-font:minor-fareast'><m:r>3</m:r><m:r>c</m:r><m:r>+5</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><span style="font-family: "Calibri","sans-serif"; font-size: 11.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-fareast; mso-hansi-theme-font: minor-latin; mso-text-raise: -5.5pt; position: relative; top: 5.5pt;"><v:shape id="_x0000_i1025" style="height: 16.5pt; width: 33.75pt;" type="#_x0000_t75">
<v:imagedata chromakey="white" o:title="" src="file:///C:\Users\bagus\AppData\Local\Temp\msohtmlclip1\01\clip_image002.png">
</v:imagedata></v:shape></span><!--[endif]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;">. (Lima bungkus permen tidak kita gunakan "a" karena dapat diketahui jumlahnya, yakni 5).<o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: minor-fareast;"><br /></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
Coba ubah dan selesaikan permasalahan berikut!</div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;">Diophantus Tomb<o:p></o:p></span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;">"This tomb holds Diophantus.
Ah, what a marvel! And the tomb tells scientifically the measure of his life.
God vouchsafed that he should be a boy for the sixth part of his life; when a
twelfth was added, his cheeks acquired a beard; He kindled for him the light of
marriage after a seventh, and in the fifth year after his marriage He granted
him a son. Alas! late-begotten and miserable child, when he had reached the
measure of half his father's life, the chill grave took him. After consoling
his grief by this science of numbers for four years, he reached the end of his
life."</span></b><span style="color: #1f4e79; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-themecolor: accent1; mso-themeshade: 128;"> </span><a href="https://www.mathsisfun.com/puzzles/diophantus.html"><span style="color: #1f4e79; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-themecolor: accent1; mso-themeshade: 128;">https://www.mathsisfun.com/puzzles/diophantus.html</span></a><span style="color: #5b9bd5; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-themecolor: accent1;"><o:p></o:p></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;">Inti pesan tersebut dalam Bahasa
Indonesia adalah<o:p></o:p></span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;">"Seperenam kehidupan yang
diberikan Tuhan kepadaku adalah masa muda. Setelah itu, seperduabelasnya,
cambang dan berewokku mulai tumbuh. Ditambah sepertujuh masa hidupku untuk
menikah, dan tahun kelima mempunyai anak. Sialnya, setengah waktu dari
kehidupanku untuk mengurus anak. Empat tahun kegunakan bersedih."</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin;"> <o:p></o:p></span></div>
<br />
<div class="MsoListParagraphCxSpLast" style="margin-left: 54.0pt; mso-add-space: auto;">
<span style="color: #1f4e79; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-themecolor: accent1; mso-themeshade: 128;"><a href="http://info-laris.blogspot.com/2012/04/teka-teki-matematika-nisan-diophantus.html">http://info-laris.blogspot.com/2012/04/teka-teki-matematika-nisan-diophantus.html</a></span><u><span style="color: #1f4e79; font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-themecolor: accent1; mso-themeshade: 128;"><o:p></o:p></span></u></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: 54.0pt; mso-add-space: auto;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: 54.0pt; mso-add-space: auto;">
<br /></div>
<div>
<br /></div>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5861188404368302411.post-58912385682775631602019-09-06T23:26:00.000-07:002019-09-06T23:26:01.664-07:00Soal Latihan UTS Ganjil Kelas 7<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg73ap2HPAxfQzaU8yFblUEWhbvfGBqHtXmqZ1tE5kPXsMkuZ9NA3vm65_MxNuyeMgTdsiYiToZsoT7qZPbAOWoVBZt3YVYXyRkqJjXKJdvk90r497vNgmtBoHtARxnQGNhfT9lcHyTcLT8/s1600/backround+test.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="191" data-original-width="264" height="232" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg73ap2HPAxfQzaU8yFblUEWhbvfGBqHtXmqZ1tE5kPXsMkuZ9NA3vm65_MxNuyeMgTdsiYiToZsoT7qZPbAOWoVBZt3YVYXyRkqJjXKJdvk90r497vNgmtBoHtARxnQGNhfT9lcHyTcLT8/s320/backround+test.jpg" width="320" /></a></div>
<iframe height="450" src="https://docs.google.com/viewer?srcid=17ge44u6MeCYI2Xsvh1lPG_vwWjGdEPMg&pid=explorer&chrome=false&embedded=true" width="600">
</iframe>
Unknownnoreply@blogger.com0tag:blogger.com,1999:blog-5861188404368302411.post-34926596859161108812019-08-23T17:56:00.000-07:002019-08-23T17:59:00.196-07:00Latihan Penilaian Tengah Semester Ganjil Matematika Kelas 7<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj85XsDYbOXVES3F0mcRcyYeoZWBpuQHwS_v7k3RLLUXaTxEVo7Fw3ZLvAlt_CeZMHSMGckb-0E-icYUlqKz8bybx5E00fl_O9pduRzdEchkw8plThc1tc88bfd7BrREOc2Cyrmw4s_QuR3/s1600/backround+test.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="191" data-original-width="264" height="289" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj85XsDYbOXVES3F0mcRcyYeoZWBpuQHwS_v7k3RLLUXaTxEVo7Fw3ZLvAlt_CeZMHSMGckb-0E-icYUlqKz8bybx5E00fl_O9pduRzdEchkw8plThc1tc88bfd7BrREOc2Cyrmw4s_QuR3/s400/backround+test.jpg" width="400" /></a></div>
<br />
<span id="goog_1895194962"></span><a href="https://www.blogger.com/"></a><span id="goog_1895194963"></span>Assalamualaikum,<br />
Oiya, pada postingan kali ini penulis ingin berbagi latihan soal matematika secara online sebagai bahan persiapan penilaian tengah semester ganjil (PAT) kelas 7. Semoga bermanfaat! Satu lagi, kamu juga dapat melihat nilai hasil dari pekerjaanmu loh!<br />
<br />
<a href="https://docs.google.com/forms/d/e/1FAIpQLSfdBfzVoep2qH8VKDqPSeMlzSO8FH0fUPsOPX9zi650PSUk4g/viewform?usp=sf_link">KLIK DISINI UNTUK LATIHAN</a><br />
<br />
<br />Unknownnoreply@blogger.com1tag:blogger.com,1999:blog-5861188404368302411.post-72605455813953171072019-05-08T00:36:00.000-07:002019-05-08T00:36:04.113-07:00Soal Latihan Matematika Persiapan Penilaian Akhir Tahun Kelas 2019Assalamualaikum,<br />
Sebelumnya minta maaf setahun sudah penulis berhenti dari kegiatan menulis blok ini. Semoga dengan postingan pertama ini penulis mampu terus posting dan posting. Oiya, pada postingan kali ini penulis ingin berbagi soal latihan matematika sebagai bahan persiapan penilaian akhir tahun (PAT). Semoga bermanfaat!<br />
<br />
<br />
<iframe height="450" src="https://docs.google.com/viewer?srcid=1Ec4xFWGmSXMduTD4OPyWHNrJ7l78_YeN&pid=explorer&chrome=false&embedded=true" width="600">
</iframe>
https://drive.google.com/file/d/1Ec4xFWGmSXMduTD4OPyWHNrJ7l78_YeN/view?usp=sharingUnknownnoreply@blogger.com0tag:blogger.com,1999:blog-5861188404368302411.post-25884980600879524542018-09-05T17:58:00.001-07:002018-09-05T17:58:51.630-07:00Ringkasan Materi Himpunan<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHBrSR3Gv20Zlx2Rru-OB9XmSXGvlu4e-x5wm8fgYkWfc1FMA2iTdg9Q835anBOE0385cXNt-u3CWbEo9FMc4-jE4QWlrq4vPr4zKC2bRusYdUTSpAGvWIjhtQ5CrP0ND71Hxgf6dhaepe/s1600/taman.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="154" data-original-width="231" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiHBrSR3Gv20Zlx2Rru-OB9XmSXGvlu4e-x5wm8fgYkWfc1FMA2iTdg9Q835anBOE0385cXNt-u3CWbEo9FMc4-jE4QWlrq4vPr4zKC2bRusYdUTSpAGvWIjhtQ5CrP0ND71Hxgf6dhaepe/s1600/taman.jpg" /></a></div>
Assalamualaikum guys!<br />
Pada kesempatan kali ini penulis ingin berbagi mengenai ringkasan materi himpunan, yang merupakan salah satu materi terbaru siswa SMP kelas 7 dimana pada sekolah dasar materi ini belum dimunculkan. Semoga ringkasan materi ini bermanfaat ya. Salam!<br />
<br />
<br />
<iframe height="450" src="https://docs.google.com/viewer?srcid=1aQgTm-80xm2Tgam2ZBj0pWOqbHgIm2Jc&pid=explorer&chrome=false&embedded=true" width="600">
</iframe>
<br />
<br />
Atau klik <a href="https://drive.google.com/file/d/1aQgTm-80xm2Tgam2ZBj0pWOqbHgIm2Jc/view?usp=sharing">disini</a>Unknownnoreply@blogger.com0