Simplify. Write your answer in the form a + bi, where a and b are real numbers.(7 - 3i) + (1 + 6i)
A. -8 - 3i
B. 8 - 3i
C. -8 + 3i
D. 8 + 3i
Answer: D
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Rotate the coordinate axes to change the given equation into an equation which has no cross product (xy) term. Identify the graph of the equation as a hyperbola, ellipse, parabola, a straight line, or parallel lines.3x2 + 2xy + y2 - 9
x + 5y - 18 = 0
A. 4u2 - v2 - 11u + 7
v - 18 = 0; Hyperbola
B. 4u2 - 11u - 18 = 0; Parallel lines
C. 4u2 - 11u + 7v - 18 = 0; Parabola
D. 4u2 + v2 - 11u + 7
v - 18 = 0; Ellipse
Solve the problem.The shape of a barbecue pit is like a parallelogram with height of 60 in. and a base of 28 in. It costs $1.00 per ft2 to fill the pit with charcoals. How much does it cost?
A. $1680 B. $11.67 C. $46.67 D. $140.00
Solve the problem.If a rocket is propelled upward from ground level, its height h in meters after t sec is given by h(t) = -9.8t2 + 68.6t. During what interval of time will the rocket be higher than
A. The rocket will be higher than 98 m for times between, but not including, 4 sec and 7 sec. B. The rocket will be higher than 98 m for times between, but not including, 2 sec and 5 sec. C. The rocket will be higher than 98 m for times up to, but not including, 5 sec. D. The rocket will be higher than 98 m for times up to, but not including, 2 sec.
Solve the equation in the real number system.x4 - 21x2 - 100 = 0
A. {-2, 2} B. {-10, 10} C. {-5, -2, 2, 5} D. {-5, 5}