Solve the Problem $\frac { x ^ { 2 } } { 404 ^ { 2 } } + \frac { y ^ { 2 } } { 403.996 ^ { 2 } } = 1$

question 55

Multiple Choice

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 402.3 million miles and a mean distance of 404 million miles, write an equation for the orbit of the planet around the sun.

• A) \(\frac { x ^ { 2 } } { 404 ^ { 2 } } + \frac { y ^ { 2 } } { 403.996 ^ { 2 } } = 1\)
• B) \(\frac { x ^ { 2 } } { 404 ^ { 2 } } + \frac { y ^ { 2 } } { 1.7 ^ { 2 } } = 1\)
• C) \(\frac { x ^ { 2 } } { 404.004 ^ { 2 } } + \frac { y ^ { 2 } } { 404 ^ { 2 } } = 1\)
• D) \(\frac { x ^ { 2 } } { 404 ^ { 2 } } + \frac { y ^ { 2 } } { 402.3 ^ { 2 } } = 1\)

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Definitions:

Civil Aeronautics Board

The Civil Aeronautics Board was a federal agency in the United States that regulated aviation services, including fares, routes, and schedules, before its dissolution in 1985.

Fares

The prices charged for transportation services, such as bus, train, or airplane tickets.

Routes

Paths or directions followed for the transportation of goods or services from one location to another.

Clayton Act

A U.S. antitrust law enacted in 1914, aimed at promoting fair competition and preventing monopolies by prohibiting certain types of anti-competitive practices.