Question

What is the distance from the origin to the point (–3, 7, 4)? Round to the nearest tenth. 2.8 units 3.7 units 4.9 units 8.6 units

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ d = √(( x_2- x_1)^2 + ( y_2- y_1)^2 + (z_2 - z_1)^2) \\\\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{7}~,~\stackrel{z_1}{4})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{0}~,~\stackrel{z_2}{0}) \\\\\\ d=√((0-(-3)^2 + (0-7)^2 + (0-4)^2)\implies d=√(74)\implies d\approx 8.6`