Question

Question in image please help

Answer 1

≈ 10.6 units

Explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = P(3, - 1) and (x₂, y₂ ) = Q(- 5, 6)

PQ =
`√((-5-3)^2+(6+1)^2)`

=
`√((-8)^2+7^2)`

=
`√(64+49)`

=
`√(113)` ≈ 10.6 ( to 1 dec. place )