Question

The distance between the points
(4, p) and (1,0) is 5 then the
value of p is​

Answer 1

The answer will be 2

Plz mark my answer as the brainliest

Answer 2

Answer: PLEASE BRAINLIEST MY ANSWER

p = -4

Step-by-step explanation:

Q) The distance between the points  (4, p) and (1,0) is 5 then the  value of p is​

⇒ Given points (4,p) ; (1,0) and distance between them is 5.

We know that the formula for finding distance between two points

Let point A(4,p)≡(x1,y1)  and  B(1,0)≡(x2,y2)

d = √[(x2-x1)²+(y2-y1)²]

∴ d = √[ (1-4)² + (0-p)² ]

∴ 5 = √[ (-3)² + (-p)² ]

∴ 5 = √[ 9 + (-p)² ]

squaring on both side

∴ 5² = { [ 9+(-p)² ]^(1/2) }²

∴ 25 = [ 9+(-p)² ]^(2/2)

∴ 25 = [ 9+(-p)² ]^1

∴ 25 = [ 9+(-p)² ]

∴ (-p)² = 25 - 9

∴ (-p)² = 16

∴ (-p)² = 4²

∴    -p =  4

∴    p  = - 4