A segment has endpoints ar (-2,3) and (7,9) how long is the segment

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asked Jan 1, 2018 114k views

5 votes

A segment has endpoints ar (-2,3) and (7,9) how long is the segment

Mathematics
college

Hejkerooo asked

by Hejkerooo

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1 Answer

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$\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -2}}\quad ,&{{ 3}})\quad % (c,d) &({{ 7}}\quad ,&{{ 9}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=√([7-(2)]^2+[9-3]^2)\implies d=√((7+2)^2+(9-3)^2) \\\\\\ d=√(9^2+6^2)\implies d=√(81+36)\implies d=√(117) \\\\\\ \boxed{117=3^2\cdot 13}\qquad \qquad d=√(3^2\cdot 13)\implies d=3√(13)$

Jackinovik answered Jan 6, 2018

by Jackinovik

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