What is the distance between P(-4,3) and Q(6,1)? Round to the nearest tenth.

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asked Sep 2, 2018 11.2k views

1 vote

What is the distance between P(-4,3) and Q(6,1)? Round to the nearest tenth.

Mathematics
college

Stuart Leigh asked

by Stuart Leigh

8.2k points

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1 Answer

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$\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) P&({{ -4}}\quad ,&{{ 3}})\quad % (c,d) Q&({{ 6}}\quad ,&{{ 1}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ PQ=√([6-(-4)]^2+[1-3]^2)\implies PQ=√((6+4)^2+(1-3)^2) \\\\\\ PQ=√(10^2+(-2)^2)\implies PQ=√(100+4)\implies PQ=√(104) \\\\\\ PQ=2√(26)$

Matan Poreh answered Sep 9, 2018