Solve the problem.A railroad tunnel is shaped like a semiellipse. The height of the tunnel at the center is 25 ft and the vertical clearance must be
at a point
from the center. Find an equation for the ellipse. 
A. +
= 1
B. +
= 1
C. +
= 1
D. +
= 1
Answer: A
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Provide an appropriate response.Explain why the sum +
-
can be simplified quickly.
What will be an ideal response?
Solve the equation for the indicated variable. (Leave ± in your answer, when appropriate.)M = ?r2hd for r
A. r =
B. r = ±
C. r =
D. r =
Solve the problem.In a 1-mile race, the winner crosses the finish line 10 feet ahead of the second-place runner and 30 feet ahead of the third-place runner. Assuming that each runner maintains a constant speed throughout the race, by how many feet does the second-place runner beat the third-place runner? (5280 feet in 1 mile.)
A. -20.11 ft B. 10.02 ft C. -10.06 ft D. 20.04 ft
Solve the problem.Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 32 coins with a total face value of $5.40, how many of the coins are nickels?
A. 24 nickels B. 13 nickels C. 19 nickels D. 15 nickels