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