Question

Find the distance between (0,4) and (3,-1)

Answer 1

see explanation

Explanation:

Calculate the distance (d) using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, -4) and (x₂, y₂ ) = (3, - 1)

d =
`√((3-0)^2+(-1+4)^2)`

=
`√(3^2+ 3^2)`

=
`√(9+9)`

=
`√(18)` = 3
`√(2)` ≈ 4.24 ( to 2 dec. places )