Question

Which measurement is closest to the distance between (2, 3) and (–2, 7) in units?

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{7})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~-2 - 2~~)^2 + (~~7 - 3~~)^2) \implies d=√(( -4 )^2 + ( 4 )^2) \\\\\\ d=√( 16 + 16 ) \implies d=√( 32 )\implies d\approx 5.66`