astultz309459
10.11.2019 •
Mathematics
What is the center of the circle given by the equation below?
a. (-4 , -8)
b. (4 , -8)
c. (4 , 8)
d. (-4 , 8)
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Ответ:
C: (4, 8)
Step-by-step explanation:
Rewrite the given equation x² - 8x = -y² + 16y - 44 in std. form:
x² - 8x + 16 - 16 + y² - 16y + 64 = 64 - 44, or
(x - 4)² + (y - 8)² = 64 - 44 + 16
Comparing this to (x - h)² + (y - k)² = 6²
we see that h = 4 and k = 8. The radius is 6. The center is at (4, 8) (Answer C).
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step-by-step explanation: