Question

Calculate the distance between the points N= (-3,1) and E=(4,-2)50 POINTS

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ N(\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad E(\stackrel{x_2}{4}~,~\stackrel{y_2}{-2})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ NE=√((~~4 - (-3)~~)^2 + (~~-2 - 1~~)^2) \implies NE=√((4 +3)^2 + (-2 -1)^2) \\\\\\ NE=√(( 7 )^2 + ( -3 )^2) \implies NE=√( 49 + 9 ) \implies NE=√( 58 )\implies NE\approx 7.62`