Simplify. Write your answer in the form a + bi, where a and b are real numbers.(4 - ) + (3 + )

A. 7 + 11i
B. 7 - 11i
C. 7 - 3i
D. 7 + 3i


Answer: C

Mathematics

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Solve the problem.The disk (x - 5)2 + y2 ? 1 is revolved about the y-axis to generate a torus. Find its volume. (Hint: ?, since it is the area of a semicircle of radius 1.)

A. 5?2
B. 5?
C. 10?2
D. ?2

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Solve the system by addition. 8x + 6y = -36-6x + 3y = -18

A. ? B. {(0, -5)} C. {(-1, -5)} D. {(0, -6)}

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Graph the inequality.25x2 - 9y2 ? 225

A.

B.

C.

D.

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Solve the system of equations using matrices. Use Gaussian elimination with back-substitution. x + y + z - w=6 2x - y + 3z + 4w=-4 4x + 2y - z - w=-13 -x - 2y + 4z + 3w=12

A. {(- , - )}
B. {(4, -3, -5, 2)}
C. {(, - , - )}
D. {(-4, 3, 5, -2)}

Mathematics