Question

Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{8}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{3}~,~\stackrel{y_2}{8})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ PQ=√((~~3 - 8~~)^2 + (~~8 - 2~~)^2) \implies PQ=√(( -5 )^2 + ( 6 )^2) \\\\\\ PQ=√( 25 + 36 ) \implies PQ=√( 61 )\implies PQ\approx 7.8`