Question

Use the distance formula to answer the question:

What is the distance between (5, 9), (-7, -7)?

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{-7}~,~\stackrel{y_2}{-7})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~-7 - 5~~)^2 + (~~-7 - 9~~)^2) \implies d=√(( -12 )^2 + ( -16 )^2) \\\\\\ d=√( 144 + 256 ) \implies d=√( 400 )\implies d=20`