Question

What is the distance between (9,-4) and (-22, 8)?

Answer 1

≈ 33.2 units

Explanation:

Calculate the distance d using the distance formula

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

with (x₁, y₁ ) = (9, - 4) and (x₂, y₂ ) = (- 22, 8)

d =
`√((-22-9)^2+(8+4)^2)`

=
`√((-31)^2+12^2)`

=
`√(961+144)`

=
`√(1105)` ≈ 33.2 ( to 1 dec. place )