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  • 04-02-2019
  • Mathematics
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What is the length of an with endpoints a 3,2 and b 8,14

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jdoe0001 jdoe0001
  • 04-02-2019

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{14})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(8-3)^2+(14-2)^2}\implies d=\sqrt{5^2+12^2} \\\\\\ d=\sqrt{169}\implies d=13[/tex]

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