Question

What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth. (4 points)

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([2-(-4)]^2+[5-0]^2)\implies d=√((2+4)^2+(5-0)^2) \\\\\\ d=√(36+25)\implies d=√(61)\implies d\approx 7.81`