Question

Find the distance between the points (6, 16) and (-1, 14). round to the nearest tenth. show all of your work.

Answer 1

d ≈ 7.3 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 ) = (6, 16 ) and (x₂, y₂ ) = (- 1, 14 )

substitute these values into the formula for d

d =
`√((-1-6)^2+(14-16)^2)`

=
`√((-7)^2+(-2)^2)`

=
`√(49+4)`

=
`√(53)`

≈ 7.3 units ( to the nearest tenth )