Solve the problem.The hyperbola 
- 
= 1 is shifted down 4 units and right 5 units. Find an equation for the new hyperbola and find the new vertices.
A. 
- 
= 1; vertices: (5 ± 
, -4 )
B. 
- 
= 1; vertices: (5, -4 ± 
)
C. 
- 
= 1; vertices: (5, -4 ± 
)
D. 
- 
= 1; vertices: (5 ± 
, -4 )
Answer: B
Mathematics
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Solve the initial value problem.
= 10t + sec2 t, r(-?) = 2
A. r = 10t2 + tan t + 2 - 10?2 B. r = 5t2 + tan t + 2 - 5?2 C. r = 5t2 + cot t + 2 - 5?2 D. r = 10 + tan t - 8
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Simplify the complex fraction.
A. 
B. 
C. 
D. 
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Simplify by factoring. Assume that any variable in a radicand represents a positive real number.
A. y13
B. y5
C. y3
D. y13
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Solve.x2 + 8x = 3
A. -1 ± 
B. 4 + 
C. -4 ± 2
D. -4 ± 
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