Question

7) Find the distance between the points B(-2, 14) and C(3, 8) to the nearest tenth.

Answer 1

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-2}~,~\stackrel{y_1}{14})\qquad C(\stackrel{x_2}{3}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{[3-(-2)]^2+[8-14]^2}\implies BC=\sqrt{(3+2)^2+(8-14)^2} \\\\\\ BC=\sqrt{25+36}\implies BC=\sqrt{61}\implies \stackrel{\textit{rounded up}}{BC=7.8}$