Simplify:
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Find the asymptotes of the hyperbola.7x2 - y2 - 84x + 6y - 100 = 0
A. y - 6 = (x - 3), y - 6 = -
(x - 3)
B. y - 3 = (x - 6), y - 3 = -
(x - 6)
C. y - 3 = 7(x - 6), y - 3 = -7(x - 6)
D. y - 3 = (x - 6), y - 3 = -
(x - 6)
Determine the vertex, focus, and directrix of the parabola and sketch its graph.(x - 1)2 = 8(y + 3)
A. vertex: (1, -3)
focus: (1, -5)
directrix: y = -1
B. vertex: (-3, 1)
focus: (-3, 3)
directrix: y = -1
C. vertex: (1, -3)
focus: (1, -1)
directrix: y = -5
D. vertex: (-1, 3)
focus: (-1, 5)
directrix: y = 1
Write in logarithmic form. 5 =
A. log5/2 = 5
B. log5/25 =
C. log5 =
D. =
Solve the inequality. Write the solution set using interval notation and graph it.24z + 12 > 6(3z - 3)
A. (-?, -5)
B. (24, ?)
C. (-?, 24)
D. (-5, ?)