Question

Approximate the distance between the points (8, 3) and (9, —2) to the nearest tenth of a unit.

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{8}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{-2})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~9 - 8~~)^2 + (~~-2 - 3~~)^2) \implies d=√(( 1 )^2 + ( -5 )^2) \\\\\\ d=√( 1 + 25 ) \implies d=√( 26 )\implies d\approx 5.1`