Write an equation for the ellipse.x-intercepts (±6, 0); y-intercepts (0, ±3)

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1


Answer: D

Mathematics

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Solve the problem.A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-third as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame.

A.  = 
B.  = 
C.  = 
D.  = 

Mathematics

Solve the problem.Find the exact value of x in the figure.

A. 20
B. 20
C. 20
D. 20

Mathematics

Solve. Assume the exercise describes a linear relationship.A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 3 seconds, the gauge on the bottle indicates that it contains 19 ounces of water. After it has been filling for 11 seconds, the gauge indicates the bottle contains 59 ounces of water. Let y be the amount of water in the bottle x seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of x.

A. y = -5x + 34
B. y = x + 
C. y = 5x + 48
D. y = 5x + 4

Mathematics

Determine the intervals on which the function is increasing, decreasing, and constant.

A. Increasing on (-?, -1); Decreasing on (-1, ?) B. Increasing on (-?, -1); Decreasing on (-?, -1) C. Increasing on (-1, ?); Decreasing on (-?, -1) D. Increasing on (-1, ?); Decreasing on (-1, ?)

Mathematics