Question

The distance AB = [?]
Round to the nearest tenth.

Answer 1

Check the picture below.

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{-1}~,~\stackrel{y_2}{-1})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AB=√((~~-1 - (-3)~~)^2 + (~~-1 - 1~~)^2) \implies AB=√((-1 +3)^2 + (-1 -1)^2) \\\\\\ AB=√(( 2 )^2 + ( -2 )^2) \implies AB=√( 4 + 4 ) \implies AB=√( 8 )\implies AB\approx 2.8`