Simplify.
A.
B.
C.
D.
Answer: A
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Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.25x2 - 16y2 = 400
A. center: (0, 0)
transverse axis: y = 0
vertices: (-5, 0), (5, 0)
foci: (-, 0), (
, 0)
asymptotes: y = - x and y =
x
B. center: (0, 0)
transverse axis: y = 0
vertices: (0, -4), (0, 4)
foci: (0, -), (0,
)
asymptotes: y = - x and y =
x
C. center: (0, 0)
transverse axis: y = 0
vertices: (-4, 0), (4, 0)
foci: (-, 0), (
, 0)
asymptotes: y = - x and y =
x
D. center: (0, 0)
transverse axis: y = 0
vertices: (-4, 0), (4, 0)
foci: (-3, 0), (3, 0)
asymptotes: y = - x and y =
x
Provide an appropriate response.Assume that log 4 = 0.6021. Determine the value of log 400.
Fill in the blank(s) with the appropriate word(s).
Use the prime factorization method to find the LCM of the variable expressions.7a3b, b2c, and ac2
A. 7a4b3c3 B. 7b C. 7a3b2c2 D. 7a2b2c3
Solve the problem.The time T in seconds required for a pendulum of length L feet to move from one side to the other and back is given by Assume that the pendulum of a particular grandfather clock is
long. How long, to the nearest hundredth of a second, does it take to swing from one side to the other?
A. 5.00 sec B. 1.59 sec C. 0.80 sec D. 2.50 sec