Sketch the graph of the ellipse:

a.

b.

c.

d.


c.

Mathematics

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Solve the problem.A company wishes to manufacture a box with a volume of 40 cubic feet that is open on top and is twice as long as it is wide. Find the width to the nearest foot of the box that can be produced using the minimum amount of material.

A. 3 ft B. 4 ft C. 6 ft D. 8 ft

Mathematics

Find the standard form of the equation for the ellipse satisfying the given conditions. Center (0, 0), vertical major axis of length 10 and minor axis of length 8

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

Mathematics

Find a and b.If 1 < x < 9, then a < 7x + 8 < b.

A. a = 15, b = 71 B. a = -1, b = 55 C. a = 16, b = 24 D. a = 9, b = 17

Mathematics

Solve.The amount of gas that a helicopter uses is directly proportional to the number of hours spent flying. The helicopter flies for 4 hours and uses 20 gallons of fuel. Find the number of gallons of fuel that the helicopter uses to fly for 6 hours.

A. 35 gallons B. 36 gallons C. 24 gallons D. 30 gallons

Mathematics