Question

Find the distance between each pair of points rounded to the nearest tenth, if necessary.

Answer 1

d ≈ 12.5 units

Explanation:

calculate the distance d , using the distance formula

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

let (x₁, y₁ ) = (- 7, 6 ) and (x₂, y₂ ) = (4, 0 )

substitute these values into the formula for d

d =
`√((4-(-7))^2+(0-6)^2)`

=
`√((4+7)^2+(-6)^2)`

=
`√(11^2+36)`

=
`√(121+36)`

=
`√(157)`

≈ 12.5 units ( to the nearest tenth )