vixxen
vixxen vixxen
  • 04-04-2019
  • Mathematics
contestada

Find the distance between (-3,2) and (5, -6) using the distant formula.

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jdoe0001 jdoe0001
  • 04-04-2019

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

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