Question

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

A coordinate plane is shown. Point A is located at negative 1, 5, and point B is located at 4, 1. A line segment connects the two points.

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 = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AB=√([4-(-1)]^2+[1-5]^2)\implies AB=√((4+1)^2+(1-5)^2) \\\\\\ AB=√(5^2+(-4)^2)\implies AB=√(41)`