Solve the problem.The orbit of a planet around a sun is an ellipse with the sun at one focus. The aphelion of a planet is its greatest distance from the sun, its perihelion is its shortest distance, and its mean distance is the length of the semimajor axis of the elliptical orbit. If a planet has a perihelion of 569.3 million miles and a mean distance of 571 million miles, write an equation for the orbit of the planet around the sun.

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


Answer: C

Mathematics

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Perform the indicated operation.Reflect the figure about line segment B, then glide it by vector A.

What will be an ideal response?

Mathematics

Translate the problem to a system of equations, then solve using Cramer's Rule.Twice the water flow in the hot-water pipe is the same as three times the flow in the cold-water pipe. The combined flow is 1200 liters per hour. What is the flow in each pipe?

A. 600 liters/hr hot, 400 liters/hr cold B. 400 liters/hr hot, 600 liters/hr cold C. 720 liters/hr hot, 480 liters/hr cold D. 480 liters/hr hot, 720 liters/hr cold

Mathematics

Express as a single logarithm and, if possible, simplify. log (y2 - 3y + 2) - log (y2 - 1)

A.
B. log 
C. log 
D. log(-3y + 3)

Mathematics

Find the composite function for the given functions and state the domain. h ? g ? f for f(x) = , g(x) = , and h(x) = 4x+ 8

A.  + 2
B. 4 + 8
C.
D.  + 8

Mathematics