Question

What is the distance, d, between the points (2,52) and (83,1)? Enter your answer in the box. Enter your answer in simplest radical form. d =

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{52})\qquad (\stackrel{x_2}{83}~,~\stackrel{y_2}{1})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~83 - 2~~)^2 + (~~1 - 52~~)^2)\implies d=√( (81)^2 + (-51)^2) \\\\\\ d=√( 6561 + 2601)\implies d=√( 9162 )\implies d=3√(1018)`