Question

Find the distance between the points (0,10) and (-9,1)

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-9}~,~\stackrel{y_2}{1})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((-9-0)^2+(1-10)^2)\implies d=√((-9)^2+(-9)^2) \\\\\\ d=√(81+81)\implies d=√(162)\implies d\approx 12.73`