Find an equation for the ellipse described.Center at (0, 0); focus at (-2, 0); vertex at (5, 0)

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


Answer: C

Mathematics

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A. (x - 45)(x + 1) B. (x - 5)2 C. (x + 5)(x - 9) D. prime

Mathematics

Solve the problem.The capsize screening value C is an indicator of a sailboat's suitability for extended offshore sailing. C is determined by the function C = 4D-1/3B, where D is the displacement of the boat in pounds and B is its beam (or width) in feet. The International Offshore Rules require that the capsize screening value be less than or equal to 2 for safety. What is the maximum allowable beam (to the nearest inch) for a boat with a displacement of 

A. 13 ft 8 in. B. 71 ft 3 in. C. 27 ft 3 in. D. 6 ft 10 in.

Mathematics

Match the equation with its graph.y = 2x + 2

A.

B.

C.

D.

Mathematics

Solve the problem.The energy cost of a speed burst as a function of the body weight of a dolphin is given by  where w is the weight of the dolphin (in kg) and E is the energy expenditure (in kcal/kg/km). Suppose that the weight of a  dolphin is increasing at a rate of 5 kg/day. Find the rate at which the energy expenditure is changing with respect to time.

A. -2.9951 kcal/kg/km/day B. -11.7541 kcal/kg/km/day C. -0.0012 kcal/kg/km/day D. -0.006 kcal/kg/km/day

Mathematics