Mathematics, 21.01.2020 09:31 hePandaKing6909
Asegment has endpoints ar (-2,3) and (7,9) how long is the segment
Answers: 2
![\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -2}}\quad ,&{{ 3}})\quad % (c,d) &({{ 7}}\quad ,&{{ 9}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=\sqrt{[7-(2)]^2+[9-3]^2}\implies d=\sqrt{(7+2)^2+(9-3)^2} \\\\\\ d=\sqrt{9^2+6^2}\implies d=\sqrt{81+36}\implies d=\sqrt{117} \\\\\\ \boxed{117=3^2\cdot 13}\qquad \qquad d=\sqrt{3^2\cdot 13}\implies d=3\sqrt{13}](/tpl/images/0463/9539/04153.png)
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Asegment has endpoints ar (-2,3) and (7,9) how long is the segment...
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