Special products can be illustrated by using areas of rectangles. Use the figure to justify the special product  What is the sum of the monomials of the black, white, and gray rectangles?

A. a2 + 2ab + b2
B. 2a2 + b2
C. a2 + 2b2
D. 2a + 2ab + b2


Answer: A

Mathematics

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?24 ?b AUse one of the inverse trig functions csc-1 or sec-1 to express angle A in terms of b.

A. A = csc-1 
B. A = sec-1 
C. A = csc-1 
D. A = sec-1 

Mathematics

Multiply.(x2 - 10) (x3 + 10x - 5)

A. x6 - 5x2 + 100x + 50 B. x5 - 20x3 - 5x2 + 100x + 50 C. x6 - 20x3 - 5x2 - 100x + 50 D. x5 - 5x2 - 100x + 50

Mathematics

Solve the problem.A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the rope is taut while the balloon is directly above a flag pole that is 50 feet from where the rope is staked down. Find the altitude of the balloon if the rope is 90 feet long. Leave your answer in simplified radical form. 

A. 10 ft
B. 2 ft
C. 20 ft
D. 4 ft

Mathematics

Use a graphing utility to approximate the area A. If needed, round as indicated.dx

A. 50 B. 25 C. 30 D. 24

Mathematics