Perform the indicated operation. Write the result in standard form.(4 + 7i) - (-4 + i)

A. 8 - 6i
B. 0 + 8i
C. -8 - 6i
D. 8 + 6i


Answer: D

Mathematics

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Provide an appropriate response.Find the coordinates of all points (x, y) on the graph of the equation x2 + y2 = 2x + 2y where the tangent is horizontal.

A. (1, 1 + ), (1, 1 - )
B. (1, 1), (1, -1)
C. (2, 2 + ), (2, 2 - )
D. (2, 0), (2, 2)

Mathematics

Solve the logarithmic equation.2 log3 x = log3 25

A. {5}
B. {23}
C.
D. {}

Mathematics

Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.8 kilogram and ? = 60°? If necessary, round the answer to the nearest tenth of a Newton.

A. 6.8 N B. 2.4 N C. 6.5 N D. 3.9 N

Mathematics

Graph the quadratic equation on [-10, 10] by [-10, 10]. Does this window give a complete graph?f(x) = -0.08x2 + 2x - 4

A.

No
B.

Yes
C.

No
D.

Yes

Mathematics