Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

(-3, 5) and (1,−1)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-1})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~1 - (-3)~~)^2 + (~~-1 - 5~~)^2) \implies d=√((1 +3)^2 + (-1 -5)^2) \\\\\\ d=√(( 4 )^2 + ( -6 )^2) \implies d=√( 16 + 36 ) \implies d=√( 52 )\implies d\approx 7.2`