Question

PLEASE help!

Find the distance between points A(-5, 1) and B(2, -6).
Round your answer to the nearest hundredths.
The length of line segment AB in the nearest hundreds =

Answer 1

7√2 units.

Explanation:

Given,

A(-5,1) = (x1,y1) and B(2,-6) = (x2,y2)

The distance between the points A and B is known by using the formula

p(x,y) = √(x1-x2)²+(y1-y2)²

p(x,y) = √(-5-2)²+(1-(-6))²

p(x,y) = √(-7)²+(1+6)²

p(x,y) = √49+49

p(x,y) = √98

p(x,y) = √49×2

p(x,y) = 7√2 units.