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 between the points with the distance formula:
BP = sqrt ( ( 3 + 2 )² + ( - 1 + 2 )² ) = sqrt ( 5² + 1² ) = √ 26 = 5.09 > 5
DP = sqrt ( (- 6 + 2 )² + ( - 6 + 2 )² ) = sqrt ( 16 + 16 ) = √32 = 5.667 > 5
Answer:
B ) B ( - 3 , 1 )
D ) D ( - 6, - 6 )