Question

Find the distance between the points. (-7, -2) (13,23) Pythagorean theorem

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-7}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{23})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~13 - (-7)~~)^2 + (~~23 - (-2)~~)^2) \implies d=√((13 +7)^2 + (23 +2)^2) \\\\\\ d=√(( 20 )^2 + ( 25 )^2) \implies d=√( 400 + 625 ) \implies d=√( 1025 )\implies d\approx 32.02`