Solve the problem.A comet follows the hyperbolic path described by 
- 
= 1, where x and y are in millions of miles. If the sun is the focus of the path, how close to the sun is the vertex of the path? 
A. 2.6 million miles
B. 3.7 million miles
C. 1.1 million miles
D. 14 million miles
Answer: C
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Rotate the coordinate axes to change the given equation into an equation which has no cross product (xy) term. Identify the graph of the equation as a hyperbola, ellipse, parabola, a straight line, or parallel lines.9x2 - xy + 11y2 - 4x + 9y - 9 = 0
A. -8.882u2 + 11.118v2 + 9.678u - 1.825v - 9 = 0; Hyperbola B. -8.882u2 + 11.118v2 - 1.825u + 9.678v - 9 = 0; Hyperbola C. 11u2 + 11.118v2 - 1.825u + 9.678v - 9 = 0; Ellipse D. 11.118v2 - 1.825u + 9.678v - 9 = 0; Parabola
Give the inverse of the statement, “If it is a car, then it runs on gasoline.”
What will be an ideal response?
Solve the problem.A sample of 400 g of lead-210 decays to polonium-210 according to the function given by 
where t is time in years. What is the amount of the sample after 30 years (to the nearest g)?
A. 83 g B. 111 g C. 1045 g D. 153 g
Solve the problem.If an object is dropped off of a tower, the velocity, V, of the object after t seconds can be obtained by multiplying t by 32 and adding 10 to the result. Find an equation relating the velocity, V, to the number of seconds, t.
A. V = 
B. V = 32t + 10
C. V = 32 + 10t
D. V = 42t