Question

Approximate the distance between (1,2) and (7,6) to the nearest tenth.

Answer 1

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[7 - 1]^2 + [6 - 2]^2}\implies d=\sqrt{6^2 + 4^2}\implies d=\sqrt{52}\implies d\approx 7.2$