Factor.8x2 + 18xy + 9y2

A. (8x + 3y)(x + 3y)
B. (8x + y)(x + 9y)
C. (4x - 3y)(2x - 3y)
D. (4x + 3y)(2x + 3y)


Answer: D

Mathematics

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Determine whether the graph is a tree.In order to study the way that people react to strangers, a psychologist conducts an interesting experiment. Without any instructions as to the nature of the experiment, one hundred strangers are led into a large room in which refreshments are being served and music is playing. The psychologist draws a graph in which each vertex represents a subject and she draws an edge between pairs if the pair engages in conversation and if this conversation is the first conversation for at least one member of the pair. Must the resulting graph be a tree?

A. No B. Yes

Mathematics

Solve the problem.Find the value of a retirement savings account paying an APR of 6.6% (compounded monthly) after 40 years of monthly contributions (contributions made at the end of each month, including the last month) when the monthly contribution is $70. Round your answer to the nearest cent.

A. $153,058.18 B. $151,340.60 C. $164,337.15 D. $168,962.63 E. $176,383.48

Mathematics

Perform the indicated operation. Give answers in rectangular form expressing real and imaginary parts to four decimal places.[8(cos 30° + i sin 30°)][3(cos 90° + i sin 90°)]

A. -1.0000 + 1.7321i B. -0.5000 + 0.8660i C. -5.5000 + 9.5263i D. -12.000 + 20.7846i

Mathematics

Graph the polar equation.r2 = 62 sin 3?

A.

B.

C.

D.

Mathematics