Solve the problem.A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 20 ft and the vertical clearance must be 10 ft at a point 15 ft from the center. Find an equation for the ellipse. 

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


Answer: D

Mathematics

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Locate the fraction on the number line.2 

A.

B.

C.

D.

Mathematics

Factor the expression. Express your answer so that only positive exponents occur. x2/5 + x-1/5

A. x-1/5(x3/5 + x) B. x-1/5(x3/5 - 1) C. x-1/5(x3/5 + 1) D. x-1/5(x3/5)

Mathematics

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary.x2 - y2 = 7.82x = 2y - 5

A. {(-6.31, -5.65), (2.97, -1.01)} B. {(-2.97, -1.01), (6.31, -5.65)} C. {(-2.97, 1.01), (6.31, 5.65)} D. {(-6.31, 5.65), (2.97, 1.01)}

Mathematics

Determine whether there is a maximum or minimum value for the given function, and find that value.f(x) = - 18x - x2 - 84

A. Maximum: 3 B. Maximum: -3 C. Minimum: 3 D. Minimum: 0

Mathematics