Find an equation of an ellipse satisfying the given conditions.Vertices: (4, -4) and (4,8); endpoints of minor axis: (9, 2) and (-1, 2)

A.  +  = 1
B.  +  = 0
C.  +  = 1
D.  +  = 1


Answer: C

Mathematics

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Evaluate the polynomial for the given values of x and y.3y2 - 7xy; x = 6 and y = -2

A. 192 B. 90 C. 190 D. 96

Mathematics

Use Bayes' rule to find the indicated probability.Quality Motors has three plants. Plant 1 produces 35% of the car output, plant 2 produces 20% and plant 3 produces the remaining 45%. One percent of the output of plant 1 is defective, 1.8% of the output of plant 2 is defective and 2% of the output of plant 3 is defective. The annual total production of Quality Motors is 1,000,000 cars. A car chosen at random from the annual output and is found defection. What is the probability that it came from plant 2?

A. 0.35 B. 0.559 C. 0.224 D. 0.217

Mathematics

Solve the equation graphically. Round to the nearest thousandth.ln = 3

A. -1.441; 1.441 B. -1.656; 1.656 C. -1.569; 1.569 D. -1.768; 1.768

Mathematics

Solve the problem.Earth is represented on a map of the solar system so that its surface is a circle with the equation  A weather satellite circles 0.8 units above the Earth with the center of its circular orbit at the center of the Earth. Find the general form of the equation for the orbit of the satellite on this map.

A. x2 + y2 + 6x + 10y - 3785.24 = 0 B. x2 + y2 - 6x - 10y - 3785.24 = 0 C. x2 + y2 + 6x + 10y + 33.36 = 0 D. x2 + y2 + 6x + 10y - 26.36 = 0

Mathematics