Question

Find the distance between the two points rounding to the nearest tenth (if necessary). (1,−6) and (−8,−4)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-4})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~-8 - 1~~)^2 + (~~-4 - (-6)~~)^2) \implies d=√((-8 -1)^2 + (-4 +6)^2) \\\\\\ d=√(( -9 )^2 + ( 2 )^2) \implies d=√( 81 + 4 ) \implies d=√( 85 )\implies d\approx 9.2`