Question

Which of the following points are more than 5 units from the point P(-2, -2)?
Select all that apply.
A. A(1, 2)
B. B(3, −1)
C. C(2, −4)
D. D(−6, −6)
E. E(−5, 1)

Answer 1

We have to calculate the distance of Point P to all the points in the choices by using the distance formula as written below:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The solutions are as follows:

Distance between P and A
d = √[(-2 - 1)² + (-2 - 2)²] = 5

Distance between P and B
d = √[(-2 - 3)² + (-2 - ⁻1)²] = 5.099

Distance between P and C
d = √[(-2 - 2)² + (-2 - ⁻4)²] = 4.472

Distance between P and D
d = √[(-2 - ⁻6)² + (-2 - ⁻6)²] = 5.657

Distance between P and E
d = √[(-2 - ⁻5)² + (-2 - 1)²] = 4.243

Therefore, the answers are B and D.