Question

Find the value of y if the distance between points M(3, 2) and N(10, y) is 25 units.​

Answer 1

Answer:

y = 24. or. y = -22

Step-by-step explanation:

M(3, 2) N (10, y)

distance MN = √(x₂ - x₁)² + (y₂ - y₁)²

MN² = (x₂ - x₁)² + (y₂ - y₁)²

25² = ( 10 - 3)² + (y - 2)²

625 = 49 + (y - 2)²

(y - 2)² = 625 - 49

= 576

y - 2 = ± 24

∴ y = ( 2 + 24 ) or y = (2 - 24)

y = 26. or y = -22