Find the distance between the points (9,2) and (3,10). Write your answer as a whole number or a fully simplified radical expression. Do not round.

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asked Sep 26, 2018 68.0k views

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Find the distance between the points (9,2) and (3,10). Write your answer as a whole number or a fully simplified radical expression. Do not round.

Mathematics
high-school

Kelly asked

by Kelly

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1 Answer

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you'd do the same as in the previous one, use the distance formula,

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\ \quad \\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~{{ 9}} &,&{{ 2}}~) % (c,d) &&(~{{ 3}} &,&{{ 10}}~) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ d=√((3-9)^2+(10-2)^2)\implies d=√((-6)^2+8^2) \\\\\\ d=√(36+64) \implies d=√(100)\implies d=10$

Felix Turner answered Oct 1, 2018