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EleoNora [17]
3 years ago
10

Determine the focus of the parabola with the equation x2 - 6x + 5y = -34. Enclose answers in parentheses.​

Mathematics
2 answers:
Ivenika [448]3 years ago
6 0

Answer:

x2 - 6x + 5y = -34

x2 - 6x = -5y + (-34)

x2 - 6x + 9 = -5y + (-34) + 9

x2 - 6x + 9 = -5y - 25

x2 - 6x + 9 = -5 (y + 5)

(x-3)^2 = -5 (y + 5)

From the standard equation: (x-h)^2 = -4c(y-k)

The vertex is (h.k) ----->> (3, -5)

-4c = -5

-4c/4 = -5/4

The focus is (h, k-c) ---->> [(3, -5 - (-5/4)]

Focus : (3, -15/4)

yaroslaw [1]3 years ago
6 0

Answer:

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