Write a proportion that models the situation described. Then, solve the proportion for x.A rectangle has sides of 6 and 11. In a similar rectangle, the longer side is 44 and the shorter side is x.

A.  = ; x = 26
B.  = ; x = 
C.  = ; x = 24
D.  = ; x = 


Answer: C

Mathematics

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Assume you have a graph with vertex set V = {A, B, C, D, E} and edge set E = {CD, CB, DA, DB, EA, AA}.Suppose that edge AE is removed from the graph. Which of the following statements regarding the resulting graph is true?

A. The resulting graph has two components. B. The resulting graph is connected. C. The resulting graph has 10 components. D. All of these are true. E. None of these are true.

Mathematics

Write the first four terms of the sequence whose general term is given.an = (-3)n

A. 3, -9, -27, -81 B. 3, -9, 27, -81 C. -3, -9, -27, -81 D. -3, 9, -27, 81

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Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.x2 + y2 + 10x - 18y + 42 = 0

A. yes B. no; the graph is the point (-5, 9) C. no; the graph is nonexistent D. no; the graph is the point (5, -9)

Mathematics

Write the binomial expansion of the expression.(3x + 1)4

A. 81x3 + 108x2 + 54x + 12 B. 81x4 + 108x3 + 54x2 + 12x + 1 C. 81x4 + 108 x3 + 54x2 + 12x + 1 D. (9x2 + 3x + 1)4

Mathematics