Question

What is the approximate length of AB¯¯¯¯¯¯¯¯?

Answer 1

AB ≈ 9.2 units

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, - 3 ) and (x₂, y₂ ) = B (4, 4 )

AB =
`√((4-(-2))^2+(4-(-3))^2)`

=
`√((4+2)^2+(4+3)^2)`

=
`√(6^2+7^2)`

=
`√(36+49)`

=
`√(85)`

≈ 9.2 units ( to the nearest tenth )

Answer 2

9.2 units

Explanation:

A(-2,-2) and B(4,4) then the length is given by the distance formula

length =
`\sqrt{(4-(-2))^(2)+(4-(-3))^(2) }` units

=
`\sqrt{6^(2)+7^(2) }` units

=
`\sqrt{85\\` units

= 9.2 units