Question

To the nearest hundreth, what is the length of line segment AB?

1.) 2.45

2.) 2.16

3.) 7.75

4.) 8.25​

Answer 1

The answer is BBB Bb

Answer 2

option (4)

Explanation:

Calculate the length using the distance formula

d =
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }`

with (x₁, y₁ ) = A(2, 2) and (x₂, y₂ ) = B(- 6, 4)

AB =
`√((-6-2)^2+(4-2)^2)`

=
`√((-8)^2+2^2)`

=
`√(64+4)`

=
`√(68)`

≈ 8.25 ( to 2 dec. places )