Question

Find the distance between these points.

C(0, 4), T(-6, -3)

√(85)
√(109)
√(37)

Answer 1

`√(85)`

Explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 4 ) and (x₂, y₂ ) = (- 6, - 3)

d =
`√((-6-0)^2+(-3-4)^2)`

=
`√((-6)^2+(-7)^2)`

=
`√(36+49)`

=
`\sqrt{85` ← exact distance