Question

Can some body plsss help!!?


2
A
-2
B
The distance AB = [?]
Round to the nearest tenth.

Answer 1

well, let's notice at the coordinates for A and B, A(-2 , 1) and B(1 , -1)

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{1}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{[1 - (-2)]^2 + [-1 - 1]^2}\implies AB=\sqrt{(1+2)^2+(-2)^2} \\\\\\ AB=\sqrt{9+4}\implies AB=\sqrt{13}\implies AB\approx 3.6$