Question

Find the length of a(1,3) d(2,-8)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad D(\stackrel{x_2}{2}~,~\stackrel{y_2}{-8})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AD=√((~~2 - 1~~)^2 + (~~-8 - 3~~)^2)\implies AD=√( (1)^2 + (-11)^2) \\\\\\ AD=√( 1 + 121)\implies AD=√( 122 )\implies AD\approx 11.05`