Find the focus and the directrix of the parabola.x2 + 2x - 8y + 17 = 0

A. Focus: (-1, 10); directrix: y = 6

B. Focus: (-1, 4), directrix: y = 
C. Focus: (-1, 0); directrix: y = 4
D. Focus: (-1, 4); directrix: y = 0


Answer: D

Mathematics

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Find the total annual premium. Use the fire insurance rate table. Rates are for each $100 of insurance.Territorial Rating: 4Building Classification: BBuilding Replacement Cost: $184,000Contents Value: $120,000

A. $230.40 B. $2304.00 C. $1856.80 D. $2316.80

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Solve the problem.The magnitude and direction of two forces acting on an object are 35 pounds, , and 55 pounds, S30°E, respectively. Find the magnitude, to the nearest hundredth of a pound, and the direction angle, to the nearest tenth of a degree, of the resultant force.

A.  = 49.17; ? = -11.3°
B.  = 57.04; ? = -23.6°
C.  = 43.30; ? = 2.7°
D.  = 65.19; ? = -7.5°

Mathematics

Find the slope of the line containing the two points.(6, 3); (-3, 6)

A. - 
B.
C. 3
D. - 3

Mathematics

Given functions f and g, determine the domain of f + g.f(x) = ,g(x) = 

A. (-?, -4) or (-4, 10) or (10, ?) B. (-?, ?) C. (-?, -10) or (-10, 4) or (4, ?) D. (-?, -5) or (-5, -4) or (-4, ?)

Mathematics