enalur29 enalur29
  • 04-09-2019
  • Mathematics
contestada

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

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jdoe0001 jdoe0001
  • 04-09-2019

[tex]\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{25+25}\implies d=\sqrt{50}\implies d\approx 7.07[/tex]

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