Question

Find the distance between:

(0, -7) and (-8,5)
Round your answer to the nearest hundredth.

Answer 1

4√13 or 14.422205101856

Explanation:

Distance (d) = √(-8 - 0)2 + (5 - -7)2

= √(-8)2 + (12)2

= √208

= 4√13

= 14.422205101856

Answer 2

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{5})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~-8 - 0~~)^2 + (~~5 - (-7)~~)^2) \implies d=√((-8 +0)^2 + (5 +7)^2) \\\\\\ d=√(( -8 )^2 + ( 12 )^2) \implies d=√( 64 + 144 ) \implies d=√( 208 )\implies d\approx 14.42`