Question

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

Answer 1

d ≈ 12.0 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 ) = (4, 4 ) and (x₂, y₂ ) = (- 4, - 5 )

substitute these values into the formula for d

d =
`√((-4-4)^2+(-5-4)^2)`

=
`√((-8)^2+(-9)^2)`

=
`√(64+81)`

=
`√(145)`

≈ 12.0 units ( to the nearest tenth )