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pshichka [43]
3 years ago
15

If m ∠ 8 = 65 degrees, what is m ∠ 5 ? (Image in details)

Mathematics
1 answer:
Nitella [24]3 years ago
7 0
65°

It's opposite on a 180° line. 
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8 0
3 years ago
What is the equation of the quadratic graph with a focus of (4,3) and a directrix of y=-6
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Answer:

f(x) = (1/18)x^2 - (4/9)x - 65/18

Step-by-step explanation:

Since the focus (4,3) is higher up than is the directrix y = -6, the vertex is between y = -6 and y = 3, halfway between these values, to be exact:  y = -3/2.  Thus, the y-coordinate of the vertex is (-6 + 3/2), or -4.5.  The x-coordinate of the vertex is 4, which comes from that 4 in (4,3).  Thus, the vertex is (4, -4.5) or (4, -4 1/2).

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18y = x^2 - 8x + 16 - 81, or

18y = x^2 - 8x - 65, or

y = f(x) = (1/18)x^2 - (4/9)x - 65/18.

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