Question

What is the Distance between (-4, 5) (5,0)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{0})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~5 - (-4)~~)^2 + (~~0 - 5~~)^2)\implies d=√((5 +4)^2 + (0 -5)^2) \\\\\\ d=√( (9)^2 + (-5)^2) \implies d=√( 81 + 25)\implies d=√( 106 )\implies d\approx 10.30`