The circle given by x^2+y^2-6y-12=0 can be written in standard form like this: x^2+(y-k)^2=21 What is the value of k in this equ
2 answers:
Answer:
k = 3
Step-by-step explanation:
Equation of the given function has been given as x² + y² - 6y - 12 = 0.
We have to convert this equation in the standard form of x² + (y - k)² = 21 to get the value of k.
x² + y² - 6y - 12 = 0
x² + y² - 6y + 9 - 9 - 12 = 0
x² + [y²- 2(3y) + 3²] - 21 = 0
x² + (y - 3)²- 21 = 0
x² + (y - 3)² = 21
Now by comparing this equation with the standard form of the equation we get the value of k = 3
Answer:
The value of k =3
Step-by-step explanation:
We need to solve this equation to become in standard form to find the value of k.
The given standard form is:
Comparing it with
The value of k =3
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