Question

Find the distance between the two points in simplest radical form.
(2,7) and (-7,-5)

Answer 1

15

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (2, 7) and (x₂, y₂ ) = (- 7, - 5)

d =
`√((-7-2)^2+(-5-7)^2)`

=
`√((-9)^2+(-12)^2)`

=
`√(81+144)`

=
`√(225)`

= 15

Answer 2

15

Explanation: