Question

Find the distance between the points (0,9) and (6,1).

Write your answer as a whole number or a fully simplified radical expression. Do not round.
______units

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~6 - 0~~)^2 + (~~1 - 9~~)^2) \implies d=√((6 +0)^2 + (1 -9)^2) \\\\\\ d=√(( 6 )^2 + ( -8 )^2) \implies d=√( 36 + 64 ) \implies d=√( 100 )\implies d=10`