Question

What is the distance between (-1, 8) and (-5, -6) to the nearest tenth?A15.215.2B14.6C4.54.5D6.3

Answer 1

The distance d between two points (x1, y1) and (x2,y2) is given by:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Substitute x1 = -1, y1 = 8, x2 = -5, and y2 = -6:

`\begin{gathered} d=√((-5-(-1))^2+(-6-8)^2) \\ d=√((-5+1)^2+(-14)^2) \\ d=√(16+196)=√(212)\approx14.5602 \\ d\approx14.6 \end{gathered}`

Therefore, the correct answer is choice B:

14.6