Question

Find the distance between the points (9,-6) and (-3,-9).

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{9}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-9})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~-3 - 9~~)^2 + (~~-9 - (-6)~~)^2) \implies d=√((-3 -9)^2 + (-9 +6)^2) \\\\\\ d=√(( -12 )^2 + ( -3 )^2) \implies d=√( 144 + 9 ) \implies d=√( 153 )\implies \boxed{d\approx 12.37}`