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Find the distance between each pair of points (-5,6) (8,-4)

User Robdasilva
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1 Answer

6 votes

\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -5}}\quad ,&{{ 6}})\quad % (c,d) &({{ 8}}\quad ,&{{ -4}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=√([8-(-5)]^2+[-4-6]^2)\implies d=√((8+5)^2+(-4-6)^2) \\\\\\ d=√(13^2+(-10)^2)\implies d=√(169+100)\implies d=√(269)
User Madison Courto
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