Question

What is the distance between (-5 -5) and (-9 -2)

Answer 1

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{-9}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-9-(-5)]^2+[-2-(-5)]^2}\implies d=\sqrt{(-9+5)^2+(-2+5)^2} \\\\\\ d=\sqrt{(-4)^2+3^2}\implies d=\sqrt{16+9}\implies d=\sqrt{25}\implies d=5$