Question

A line segment has endpoints at (-12,19) and (13,- 11).

What is the length of the line segment rounded to the nearest whole number?

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-12}~,~\stackrel{y_1}{19})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{-11})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~13 - (-12)~~)^2 + (~~-11 - 19~~)^2) \implies d=√((13 +12)^2 + (-11 -19)^2) \\\\\\ d=√(( 25 )^2 + ( -30 )^2) \implies d=√( 625 + 900 ) \implies d=√( 1525 )\implies d\approx 39`