Factor completely. If the polynomial is prime, state so.25x2 - 81y2
A. (5x - 9y)2
B. (5x + 9y)2
C. (5x + 9y)(5x - 9y)
D. prime
Answer: C
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Solve the problem.Find the centroid of the first-octant portion of a solid ball of radius 2 centered at the origin.
A. (
, 
, 
) = 
B. (
, 
, 
) = 
C. (
, 
, 
) = 
D. (
, 
, 
) = 
Find the vertex, focus, and directrix of the parabola. Graph the parabola.y2 - 12y + 8x + 84 = 0
A. vertex: (-6, 6)
focus: (-4, 6)
directrix: x = -8
B. vertex: (6, -6)
focus: (6, -4)
directrix: y = -8
C. vertex: (-6, 6)
focus: (-8, 6)
directrix: x = -4
D. vertex: (6, -6)
focus: (6, -8)
directrix: y = -4
Solve.There are currently 56 million cars in a certain country, increasing exponentially by 2% annually. How many years will it take for this country to have 68 million cars? Round to the nearest year.
A. 4 yr B. 10 yr C. 6 yr D. 124 yr
Assume that x, y, z, and b are positive numbers. Use the properties of logarithms to write the expression 
in terms of the logarithms of x, y, and z.
a. 
b. 
c. 
d. 