Answer:
y = ± 12
Step-by-step explanation:
Use the distance formula to calculate the distance and equate to 15
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, y)
d = [tex]\sqrt{(9-0)^2+(y-0)^2}[/tex] = 15
[tex]\sqrt{9^2+y^2}[/tex] = 15
[tex]\sqrt{81+y^2}[/tex] = 15 ( square both sides )
81 + y² = 225 ( subtract 81 from both sides )
y² = 144 ( take square root of both sides )
y = ± [tex]\sqrt{144}[/tex] = ± 12
point k is (9, 12 ) or (9, - 12 )
The value of y = ± 12.
Distance is a measure of how far apart two objects or locations are using numbers. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage. Sometimes, the symbol |AB| is used to represent the distance between two points.
Given
Use the distance formula to calculate the distance and equate to 15
d = √(x₂-x₁)² +(y₂-y₁)²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (9, y)
d =√(9-0)² + (y-0)² = 15
√(9² + y²) = 15
√(81 + y²) = 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 )
The value of y = ± 12.
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