Question

What is The length of (5,-2) (-4,-5)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{5}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-5})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~-4 - 5~~)^2 + (~~-5 - (-2)~~)^2)\implies d=√((-4 -5)^2 + (-5 +2)^2) \\\\\\ d=√( (-9)^2 + (-3)^2) \implies d=√( 81 + 9)\implies d=√( 90 )\implies d\approx 9.49`