Write the equation for the shape described.The circle with endpoints of a diameter at (-1, 4) and (-1, -4)

A. x2 + (y - 4)2 = 1
B. (x - 4)2 + y2 = 1
C. (x + 1)2 + y2 = 16
D. (x + 1)2 + y2 = 4


Answer: C

Mathematics

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Use the preference table to answer the question.The Mathematics Department is holding an election for department chair. Each member ranks the candidates from first to third. The preference table below shows the results of the ballots with candidates Clark (C), Jones (J), and Smith (S). If the Borda count method is used to determine the winner and Clark drops out, is the independence-of-irrelevant-alternatives criterion satisfied?

A. Yes B. No

Mathematics

Solve the problem with estimation, but do not use a calculator. Use rounding to make the resulting calculations simple.If a person earns $29.55 per hour, estimate that person's annual salary.

A. $40,000 B. $50,000 C. $60,000 D. $70,000

Mathematics

Find the product. Write the product in rectangular form, using exact values.[4(cos 315° + i sin 315°)] [6(cos 225° + i sin 225°)]

A. -24i B. 24 C. 24i D. -24

Mathematics

Provide an appropriate response.Suppose that you are solving a system of three linear equations and have evaluated D, Dx, Dy, and Dz. Under what condition does Cramer's rule not apply?

A. D = 0; and either Dx = 0, Dy = 0, or Dz = 0 B. Dx = 0, Dy = 0, or Dz = 0 C. Dx = 0 D. D = 0

Mathematics