Solve the problem.The following describes a dilation with center O and image of the segment of length 8 labeled x. Find the scale factor and the lengths designated by x and y.

A. x = 32; y = 51; scale factor 4
B. x = 36; y = 53; scale factor 5
C. x = 38; y = 55; scale factor 6
D. x = 30; y = 47; scale factor 4


Answer: A

Mathematics

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Completely factor the polynomial or state that the polynomial is prime.729x3 + 512

A. (9x + 8)(81x2 + 72x + 64) B. (9x + 8)(81x2 - 72x + 64) C. (9x - 8)(81x2 + 72x + 64) D. (729x - 8)(x2 + 72x + 64)

Mathematics

Solve.Ron and Kathy are ticket sellers at their class play, Ron selling student tickets for $2.00 each and Kathy selling adult tickets for $4.50 each. If their total income for 364 tickets was $1175.50, then how many tickets did Ron sell?

A. 185 tickets B. 179 tickets C. 157 tickets D. 163 tickets

Mathematics

Write the first four terms of the geometric sequence with the given first term, a1, and common ratio, r.a1 = -7; r = 2

A. -7, 14, -28, 56, . . . B. -7, -5, -3, -1, . . . C. -7, -14, -28, -56, . . . D. -14, -28, -56, -112, . . .

Mathematics

Simplify.

A. 0 B. Not defined C. 2 D. 1

Mathematics