Find the common ratio for the geometric sequence.1, -3, 9, -27, 81
A. 3
B. -3
C. Not geometric
D. -4
Answer: B
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Solve the problem.Prove that tan ? + cot ? = sec ? csc ? by expressing each function in terms of its x, y, and r definition.
What will be an ideal response?
Simplify.9(-8) - (-15)
A. -87 B. -207 C. -57 D. 63
Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(y - 2)2 - 16(x + 1)2 = 16
A. center: (1, -2)
transverse axis: x = 1
vertices: (1, -6) and (1, 2)
foci: (1, -2 - 
) and (1, -2 + 
)
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
B. center: (-1, 2)
transverse axis: x = -1
vertices: (0, -1) and (0, 7)
foci: (0, 3 - 
) and (0, 3 + 
)
asymptotes: y - 2 = - 
(x + 1) and y - 2 = 
(x + 1)
C. center: (-1, 2)
transverse axis: x = -1
vertices: (-1, -2) and (-1, 6)
foci: (-1, 2 - 
) and (-1, 2 + 
)
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
D. center: (-1, 2)
transverse axis: y = 2
vertices: (1, -4) and (-1, 4)
foci: (-1, - 
) and (-1, 
)
asymptotes: y - 2 = - 4(x + 1) and y - 2 = 4(x + 1)
Complete the following for the given f(x). (i) Find f(x + h). (ii) Find the difference quotient of f and simplify.f(x) = -9x
A. (i) -9x - 9h (ii) -9 B. (i) -9x + 9h (ii) -9 C. (i) -9x + 9h (ii) 9 D. (i) -9x - 9h (ii) 9