The distance between point k(9,y) and the origin is 15 units. Find the value of y​

y = ± 12

Step-by-step explanation:

Use the distance formula to calculate the distance and equate to 15

d =

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, y)

d = = 15

= 15

= 15 ( square both sides )

81 + y² = 225 ( subtract 81 from both sides )

y² = 144 ( take square root of both sides )

y = ± = ± 12

point k is (9, 12 ) or (9, - 12 )