Question

Find the distance between A(-10, 4) and B(-4, -4)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-10}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{-4}~,~\stackrel{y_2}{-4})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AB=√((~~-4 - (-10)~~)^2 + (~~-4 - 4~~)^2)\implies AB=√((-4 +10)^2 + (-8)^2) \\\\\\ AB=√( (6)^2 + (-8)^2) \implies AB=√( 36 + 64)\implies AB=√( 100 )\implies AB=10`