brookeloladuke brookeloladuke
  • 25-10-2019
  • Mathematics
contestada

Calculate the distance between the points K=-7,9 and Q= -4,3 in the coordinate plane. Round your answer to the nearest hundredth.

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jdoe0001 jdoe0001
  • 25-10-2019

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ K(\stackrel{x_1}{-7}~,~\stackrel{y_1}{9})\qquad Q(\stackrel{x_2}{-4}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ KQ=\sqrt{[-4-(-7)]^2+[3-9]^2}\implies KQ=\sqrt{(-4+7)^2+(3-9)^2} \\\\\\ KQ=\sqrt{3^2+(-6)^2}\implies KQ=\sqrt{45}\implies KQ\approx 6.71[/tex]

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