Question

Find the distance between the pair of points.

E(5, -3), F( - 4,9)
d =
(Simplify your answer. Type an exact answer, using radicals as needed.)

Answer 1

EF = 15 units

Explanation:

Calculate the distance using the distance formula

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

with (x₁, y₁ ) = E (5, - 3) and (x₂, y₂ ) = F (- 4, 9)

EF =
`√(-4-5)^2+(9-(-3))^2)`

=
`√((-9)^2+(9+3)^2)`

=
`√(81+12^2)`

=
`√(81+144)`

=
`√(225)`

= 15