Question

Determine the distance between the points (−3, −6) and (5, 0).

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{0})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~5 - (-3)~~)^2 + (~~0 - (-6)~~)^2) \implies d=√((5 +3)^2 + (0 +6)^2) \\\\\\ d=√(( 8 )^2 + ( 6 )^2) \implies d=√( 64 + 36 ) \implies d=√( 100 )\implies d=10`