Find the vertex, focus, and directrix of the parabola. Graph the parabola.x2 - 12x - 4y + 64 = 0

A. vertex: (6, 7)
focus: (6, 6)
directrix: y = 8

B. vertex: (6, 7)
focus: (7, 7)
directrix: x = 5

C. vertex: (6, 7)
focus: (6, 8)
directrix: y = 6

D. vertex: (6, 7)
focus: (5, 7)
directrix: x = 7


Answer: C

Mathematics

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Graph the system of inequalities. Find the coordinates of any vertices.3y + x ? 0,y + 2x ? 10,y ? 0

A.

(0, 0) , (10, 0)
B.

(6, -2)
C.

(0, 0) , (5, 0) , (6, -2)
D.

(0, 0) , (5,0)

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Find the length of the third side of the right triangle. Where appropriate, give both an exact answer and an approximation to three decimal places.

A. 514
B.  ? 22.672
C.  ? 5.657
D.  = 257.0

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Sketch the graph of the polar equation.r = 2

A.

B.

C.

D.

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Write the following as an algebraic expression in u, u > 0.sin 

A.
B.
C. u
D.

Mathematics