Solve the problem.A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 45 ft and the vertical clearance must be 18 ft at a point 21 ft from the center. Find an equation for the ellipse.

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


Answer: A

Mathematics

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Multiply and simplify. ? 

A.
B. - 3
C.
D.

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Use the quadratic formula or graphing methods to solve the inequality.6x2 - 27x + 6 ? 0

A.  ? 0.234 ? x ?  ? 4.266
B. x ?  ? 0.234 or x ?  ? 4.266
C. x ?  ? 0.234
D. x ?  ? 4.266

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Write the fraction as an equivalent fraction with the given denominator. = 

A.
B.
C.
D.

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Find the product. Assume all variables have non-negative values.( + 4)( - 4)

A. 9
B. 13 - 2
C. 29
D. -3

Mathematics