Solve the problem.A power outage affected all homes and businesses within a 12 mi radius of the power station. If the power station is located 10 mi north of the center of town, find an equation of the circle consisting of the furthest points from the station affected by the power outage.
A. x2 + y2 = 144
B. x2 + (y - 10)2 = 12
C. x2 + (y + 10)2 = 144
D. x2 + (y - 10)2 = 144
Answer: D
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Find the measure of the dihedral angle indicated.The figure shown is a right prism whose bases are regular octagons. Find the measure of the dihedral angle between adjacent lateral faces.
A. 90° B. 120° C. 45° D. 135°
Solve the equation. Write the answer in a + bi form.x2 - i = 0
A. -1, 1
B. -i, i
C. 
+ 
, - 
- 
D. 
- 
, - 
+ 
Find the zeros of the polynomial function and state the multiplicity of each.f(x) = 5x(x + 6)(x2 - 1)3
A. 0 (multiplicity 1), -6 (multiplicity 1), ±1 (multiplicity 1) B. 0 (multiplicity 1), -6 (multiplicity 1), - 1 (multiplicity 3) C. 0 (multiplicity 1), -6 (multiplicity 1), ±1 (multiplicity 3) D. 0 (multiplicity 1), 6 (multiplicity 1), ±1 (multiplicity 3)
Factor completely.x3 - 125
A. (x - 5)(x2 + 25) B. (x + 125)(x2 - 1) C. (x - 5)(x2 + 5x + 25) D. (x + 5)(x2 - 5x + 25)