Find an equation of a parabola that satisfies the given conditions.Focus (-10, -2), directrix y = -10
A. (y + 2)2 = 16(x + 10)
B. (x + 2)2 = 16(y + 6)
C. (x + 10)2 = 16(y + 2)
D. (x + 10)2 = 16(y + 6)
Answer: D
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Find the partial fraction decomposition for the rational expression.
A. 
+ 
B. 
+ 
C. 
- 
D. 
- 
Solve.The outline of a certain planet can be considered a circle with a radius of approximately 2000 miles. Thus, if the center of this planet is located at (0, 0), then an equation for this circle is 
. Suppose an incoming meteor is approaching the planet in a hyperbolic path. The equation describing the meteor's path is 
Will the meteor strike the planet? If so, locate the point (x, y) where the meteor will strike. Assume that x and y are both positive, and round to three significant digits.
A. Yes, at the point (x, y) ? (3270, 2000) B. Yes, at the point (x, y) ? (2530, 2000) C. Yes, at the point (x, y) ? (2310, 3060) D. No, the meteor will not strike the planet.
Perform the indicated operations. Assume that all variables represent nonnegative real numbers.
+ x
A. 3x
B. 4
C. x(
+ 
)
D. 4x
Solve the problem.The velocity v (in m/s) of an object moving with acceleration a (in m/s2) is given by 
where t is the time (in seconds). Find a formula for v, if 
A. v = 
+ C
B. v = 
+ C
C. v = - 
+ C
D. v = 
+ C