Graph the hyperbola. Give the coordinates of the center as well as the values of a and b.y2 - 9x2 = 81

A. center (0, 0), a = 9, b = 3

B. center (0, 0), a = 9, b = 3

C. center (0, 0), a = 3, b = 9

D. center (0, 0), a = 3, b = 9


Answer: D

Mathematics

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First, rewrite each equation in exponential form. Then, use a table of coordinates and the exponential form to graph the logarithmic function. Begin by selecting -2, -1, 0, 1 and 2 for y. Finally, based on your graph, describe the shape of a scatter plot that can be modeled by f(x) = log b x, 0 < b < 1.y = log1/9  x

A.

increasing
B.

increasing, 
although rate of increase is slowing down
C.

decreasing, 
although rate of decrease is slowing down
D.

decreasing, 
although rate of decrease is slowing down

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Find the indicated quantity.Find the radius of gyration with respect to its axis of the volume generated by revolving the region bounded by  and the  about the 

A.
B.
C.
D.

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Write the improper fraction as a mixed number or an integer.

A. -1
B. -3
C. -2
D. -2

Mathematics

Find the angle between v and w. Round your answer to one decimal place, if necessary.v = 8i - 3j,w = 6i - 7j

A. 4.4° B. 38.8° C. 14.4° D. 28.8°

Mathematics