Solve the system.5x - 7y + 6z = 7-20x + 28y - 24z = -2820x - 28y + 24z = 28

A. Infinitely many solutions
B. (-3, 2, 6)
C. No solution
D. (2, 6, -3)


Answer: A

Mathematics

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Factor out the greatest common factor. Simplify the factors, if possible.6(m + p)3 - 24(m + p)2 - 18(m + p)4 

A. 6(m + p)4(-7 + m + p) B. 6(m + p)2(m + p - 4 - 3m2 - 6mp - 3p2) C. 6(m + p)2(m + p - 4 - 3m2 + 6mp + 3p2) D. 6(m + p)(m + p - 4 - 2m2 - 4mp - 2p2)

Mathematics

Solve the problem.A grasshopper is perched on a reed 6 inches above the ground. It hops off the reed and lands on the ground about 6.6 inches away. During its hop, its height is given by the equation , where x is the distance in inches from the base of the reed, and h is in inches. How far was the grasshopper from the base of the reed when it was 4.75 inches above the ground? Round to the nearest tenth.

A. 0.9 inches B. 5.0 inches C. 0.6 inches D. 6.6 inches

Mathematics

The figure shows a simplified model of the first Ferris wheel. The radius of the first Ferris wheel was 125 feet, and the distance from the ground to the bottom of the wheel was 14 feet. If  is the central angle formed as a rider moves from position  to position

data-wiris-created="true" src="https://sciemce.com/media/3/ppg__cognero__Section_2.3_Solving_Right_Triangles__media__ed53eac5-3142-4d98-a923-b73b01b3fe7e.PNG" style="vertical-align:middle;" />, find the rider's height above the ground h when  is .
?

?
Round the answer to the nearest whole number.
?

A. 35 ft
B. 31 ft
C. 25 ft
D. 43 ft
E. 28 ft

Mathematics

Factor the difference of squares.9rs2 - 64rt4

A. (9rs + rt2)(s - 64t2) B. r(3s + 8t2)2 C. r(3s + 8t2)(3s - 8t2) D. (3rs - 8rt2)2

Mathematics