Question

What is the distance from home to library?​

Answer 1

Check the picture below.

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~5 - 2~~)^2 + (~~7 - 1~~)^2) \implies d=√(( 3 )^2 + ( 6 )^2) \\\\\\ d=√( 9 + 36 ) \implies d=√( 45 )\implies d\approx 6.7`