Question

Find the distance between C(-2,-6) and
D(4, -3).

Answer 1

3
`√(5)`

Explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(- 2, - 6) and (x₂, y₂ ) = D(4, - 3)

CD =
`√((4+2)^2+(-3+6)^2)`

=
`√(6^2+3^2)`

=
`√(36+9)`

=
`√(45)` =
`√(9(5))` = 3
`√(5)` ← exact value