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What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid ?

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asked Aug 27, 2019 55.6k views

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What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid ?

Mathematics
high-school

ErickXavier asked

by ErickXavier

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$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -3 &,& -4~) % (c,d) &&(~ -8 &,& 1~) \end{array} \\\\\\ d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([-8-(-3)]^2+[1-(-4)]^2)\implies d=√((-8+3)^2+(1+4)^2) \\\\\\ d=√((-5)^2+5^2)\implies d=√(50)\implies d=√(25\cdot 2)\implies d=√(5^2\cdot 2) \\\\\\ d=5√(2)$

Ivor answered Sep 1, 2019

by Ivor

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What is the approximate distance between the points (-3,-4) and (-8,1) on a coordinate grid ?

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