Question

16. Find the distance between points (-3,0) and (8,- 6)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-6})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~8 - (-3)~~)^2 + (~~-6 - 0~~)^2) \implies d=√((8 +3)^2 + (-6)^2) \\\\\\ d=√(( 11 )^2 + ( -6 )^2) \implies d=√( 121 + 36 ) \implies d=√( 157 )`