Question

If the distance between the points (4,p) and (1,0) is 5 units,then the value of p is a4only b-4only c 4 d0 anwer of this queston

Answer 1

Answer:

Step-by-step explanation:

A ( 4,p ) ( x₁,y₁ )

B ( 1,0 ) ( x₂,y₂ )

d ( A,B ) = √ (x₂ - x₁)² + ( y₂ - y₁)²

[ d ( A,B ) ]² = (x₂ - x₁)² + ( y₂ - y₁)²

(5)² = ( 1 - 4 )² + ( 0 - p )²

25 = (-3)² + (-p)²

25 = 9 + p²

25 - 9 = p²

16 = p²

p = √16

p = 4 or p = -4