Question

Find the distance between A and B. Round to the nearest hundredth.

​A (-3,-6)

​B (-6,1)

Answer 1

Answer: 10.30

Explanation:

Distance formula =
`\sqrt{(x_(2) +x_(1))^2+(y_(2) +y_(1))^2}`

A (
`x_(1) ,y_(1)`) = A(-3,-6) so
`x_(1) = -2` and
`y_(1) =-6`

B (
`x_(2) ,y_(2)`) = B(-6, 1) so
`x_(2) = -6` and
`y_(2) = 1`

Plug in the values. You should get
`√((-6 +-3)^2+(1 +-6)^2)=√((-9)^2+(-5)^2)=√(81+25)=√(106)`

≈10.30