Simplify the expression using the product and quotient properties of square roots. Assume that any variables represent positive real numbers.

A. 4a 
B. 256a 
C. 4
D. 4a2


Answer: A

Mathematics

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Determine the vertex, focus, and directrix of the parabola and sketch its graph.x2 - 12x = 8y - 68

A. vertex: (6, 4)
focus: (6, 2)
directrix: y = 6

B. vertex: (6, 4)
focus: (4, 4)
directrix: x = 8

C. vertex: (6, 4)
focus: (6, 6)
directrix: y = 2

D. vertex: (6, 4)
focus: (8, 4)
directrix: x = 4

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A. y = -14, 0, (0, -14) B. y = -14, -14, (0, -14) C. y = 14, 0, (0, 14) D. y = -14, -14, (0, 0)

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Solve the problem.A one-story building is 180 ft by 490 ft. If a square patio with sides 25 ft occupies the center of the building, how much area remains for offices?

A. 1240 ft2 B. 1315 ft2 C. 87,575 ft2 D. 1340 ft2

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Insert either < or > to make the statement true.-   _____ - 

A. < B. >

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