Question

if the distance between two points p,-5 and 2,7 is 13 units the value of

p is

Answer 1

Answer:

Step-by-step explanation:

The distance formula between two points is = √(x₂ - x₁)² + (y₂ - y₁)²

(x₁ , x₂) ≡ (p , -5)

(y₁ , y₂) ≡ (2, 7)

The distance between two points is  = 13

∴ √(2 - p)² + (7 - (-5))² = 13

Taking squares on both sides,

(2 - p)² + (7 + 5)² = 169

(2 - p)² = 169 - (12)²

(2 - p)² = 169 - 144

(2 - p)² = 25

taking square root on both sides,

2 - p = ± 25

p = 2 - 25  or  p = 2 + 25

p = -23      or  p = 27