Mathematics, 14.07.2019 11:00 zookieblu
What is the approximate distance between points (-3,-4) (-8,1) on a coordinate grid?
Answers: 1
![\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2} \\\\\\ d=\sqrt{(-5)^2+5^2}\implies d=\sqrt{5^2+5^2}\implies d=\sqrt{2(5^2)}\implies d=5\sqrt{2}](/tpl/images/0088/3817/ccf65.png)
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