Find the vertices and graph the hyperbola.4x2 - y2 = 64

A. (-4, 0), (4, 0)

B. (-4, 0), (4, 0)

C. (0, -8), (0, 8)

D. (-8, 0), (8, 0)


Answer: B

Mathematics

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Rewrite as an equivalent logarithmic equation. Do not solve.2-3 = 

A. 2 = log 3 
B. -3 = log 8 2
C.  = log 2 -3
D. -3 = log 2 

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A point on the terminal side of an angle ? is given. Find the exact value of the indicated trigonometric function of ?.(-3, 4)Find sin ?.

A.
B. - 
C.
D. - 

Mathematics

Find a rectangular equation for the plane curve defined by the parametric equations.x = 5 cos t, y = -2 sin t; 0 ? t ? 2?

A. 4x2 - 25y2 = 100; x ? 5
B. 4x2 + 25y2 = 1; -  ? x ? 
C. 4x2 - 25y2 = 1; x ? 
D. 4x2 + 25y2 = 100; -5 ? x ? 5

Mathematics

Solve the problem.The number of dislocated electric impulses per cubic inch in a transformer increases when lightning strikes by D(x) = 7700(3)x, where x is the time in milliseconds of the lightning strike. Find the number of dislocated impulses at x = 0 and x = 5.

A. 7700; 207,900 B. 23,100; 1,871,100 C. 7700; 115,500 D. 7700; 1,871,100

Mathematics