Question

If the distance between the points (4, P) and (1, 0) is 5, then P = a) ±4. b) 4. c) -4. d) 0​

Answer 1

Answer:  

Step-by-step explanation:

Answer 2

Answer:

(c) -4

Step-by-step explanation:

Using the distance formula

Let's mark (4, P) as (x₁ , y₁)

and (1 , 0) as (x₂ , y₂)

distance = √(x₂-x₁)² + (y₂ - y₁)²

substituting the variables,

√(1 - 4)² + (0-P)²

√(-3)² + (-P)²

√9 + P²

Cancelling the square root with the square, we'll get

9 + P

It is given that distance = 5, so we'll equate it

9 + P = 5

P = 5 - 9

P = -4

Therefore, answer is (c) -4