Solve the problem.A railroad tunnel has the shape of half an ellipse. The height of the tunnel at the center is 42 ft and the vertical clearance must be 6 ft at a point 12 ft from the center. Find an equation for the ellipse, where x and y are measured in ft. 
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Answer: D
Mathematics
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Provide an appropriate response.In the definitions of the ellipse and hyperbola, two fixed points are mentioned. What are these points called?
A. vertices B. foci C. intercepts D. asymptotes
Mathematics
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = |-x|
A. 
B. 
C. 
D. 
Mathematics
Perform the indicated operation.Add.9x8 + 6x7 - 9x6 - 9
A. 8x42 - 5 B. 11x8 + 12x7 - 15x6 - 5 C. -3x8 - 3x7 + 13x6 + 8 D. 11x16 + 12x14 - 15x12 - 5
Mathematics
Change the logarithmic expression to an equivalent expression involving an exponent.log1/5125 = -3
A. 
-3 = 125
B. 1251/5 = 3
C. (-3)1/5 = 125
D. 
3 = 125
Mathematics