s2083 s2083
  • 03-09-2019
  • Mathematics
contestada

what is the distance between (-5, -6)(−5,−6)and (-3, -8)(−3,−8)?

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jdoe0001 jdoe0001
  • 03-09-2019

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-3-(-5)]^2+[-8-(-6)]^2}\implies d = \sqrt{(-3+5)^2+(-8+6)^2} \\\\\\ d = \sqrt{2^2+(-2)^2}\implies d = \sqrt{4+4}\implies d = \sqrt{8}\implies d\approx 2.83[/tex]

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