Question

Find the distance between the points (-16,11) and (16,4)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-16}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{4})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~16 - (-16)~~)^2 + (~~4 - 11~~)^2) \implies d=√((16 +16)^2 + (4 -11)^2) \\\\\\ d=√(( 32 )^2 + ( -7 )^2) \implies d=√( 1024 + 49 ) \implies d=√( 1073 )\implies d\approx 32.76`