Question

What is the distance between A and B? Round your answer to the nearest tenth.

Answer 1

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{[4-(-1)]^2+[1-5]^2}\implies AB=\sqrt{(4+1)^2+(1-5)^2} \\\\\\ AB=\sqrt{5^2+(-4)^2}\implies AB=\sqrt{41}$