Factor the polynomial.20z2 - 3z - 9

A. (20z - 3)(z + 3)
B. (4z + 3)(5z - 3)
C. (4z - 3)(5z + 3)
D. prime


Answer: C

Mathematics

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Work the application. Write a legend and an equation. Solve the equation and answer in a complete sentence.City A, City B and City C, located on a map, form a triangle. The perimeter of this triangle is  The distance from City A to City B is 596 miles. The distance from City B to City C is  What is the distance from City C to City A?

A. Let d = the distance from City C to City A. d = 596 + 348 + 1707 The distance from City C to City A is 2561 miles. B. Let d = the distance from City C to City A. d = 596 + 348 + 1707 The distance from City C to City A is 2651 miles. C. Let d = the distance from City C to City A. 596 + 348 + d = 1707 The distance from City C to City A is 736 miles. D. Let d = the distance from City C to City A. 1707 = 596 + 348 + d The distance from City C to City A is 763 miles.

Mathematics

Solve the problem.At a state fair truck pull, two pickup trucks are attached to the back end of a monster truck as illustrated in the figure. One of the pickups pulls with a force of 1800 pounds and the other pulls with a force of 3800 pounds with an angle of 45° between them. With how much force must the monster truck pull in order to remain unmoved? HINT: Find the resultant force of the two trucks. Round your answer to the nearest tenth. 

A. The truck must pull with a force of 2183.3 lb. B. The truck must pull with a force of 5230.0 lb. C. The truck must pull with a force of 4910.5 lb. D. The truck must pull with a force of 2829.6 lb.

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.17x2 - 12xy + 8y2 - 68x + 24y -12 = 0

A. ? = 63.4°
x'2 = -16y'
parabola
vertex at (0, 0)
focus at (0, -4)
B. ? = 63.4°
 +  = 1
ellipse
center at (, - )
major axis is x'-axis
vertices at (4 + , - ) and (-4 + , - )
C. ? = 26.6°
 +  = 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4)
D. ? = 63.4°
 -  = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±4, 0)

Mathematics

Find the trigonometric function value of the corresponding complimentary angle.Given that sin 40° ? 0.6428, find cos 50°

A. 0.8391 B. 0.7660 C. 0.6428 D. 1.305

Mathematics