Perform the indicated operations using the laws of exponents. Express the result using positive exponents.
A.
B.
C.
D.
E.
Answer: A
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Simplify. Write your answer in the form a + bi, where a and b are real numbers.(-7 + 2i) + (13 + 7i)
A. -6 + 9i B. 6 + 16i C. 6 + 9i D. 13 + 9i
Solve the problem.You have 68 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area.
A. length: 34 ft, width: 34 ft B. length: 17 ft, width: 17 ft C. length: 51 ft, width: 17 ft D. length: 34 ft, width: 17 ft
Factor by grouping.8x2 + 10xt + 3t2
A. (8x + t)(x + 3t) B. (2x - t)(4x - 3t) C. prime D. (2x + t)(4x + 3t)
Find the value of c for which the expression is a perfect square trinomial. Then factor the perfect square trinomial.x2 - 2x + c
A. c = 4; x2 - 2x + 4 = (x - 2) 2 B. c = -1; x2 - 2x - 1 = (x - 1) 2 C. c = -4; x2 - 2x - 4 = (x - 2) 2 D. c = 1; x2 - 2x + 1 = (x - 1) 2