Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi.3

A. 15 + 15i
B. 50 + 50i
C. 5 + 5i
D. -500 + 500i


Answer: D

Mathematics

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Provide an appropriate response. Given a 45°, 45°, 90° triangle, find the hypotenuse if a leg is 12.3 cm.

A. 21.30 cm B. 17.39 cm C. 8.70 cm D. 12.3 cm

Mathematics

Find an expression for the general term, an.1024, 256, 64, 16, . . .

A. an = 1024(4) n - 1
B. an = 1024 n - 1
C. an = 1024 n - 1
D. an = 1024 n - 1

Mathematics

Solve the equation. = ?x + 8?

A. {14, - }
B. {- 14, }
C. ?
D. {14}

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State the value of the discriminant and the number of real solutions.s2 = -5s + 1

A. 0, one B. -29, two C. 29, one D. 29, two

Mathematics