Question

What is the length of rs with r(-2 3) and s(4 5)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\qquad S(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ RS=√((~~4 - (-2)~~)^2 + (~~5 - 3~~)^2)\implies RS=√((4 +2)^2 + (5 -3)^2) \\\\\\ RS=√( (6)^2 + (2)^2) \implies RS=√( 36 + 4)\implies RS=√( 40 )\implies RS\approx 6.32`