Solve the Problem $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 3,824 = 0$

question 133

Multiple Choice

Solve the problem.
-Earth is represented on a map of the solar system so that its surface is a circle with the equation $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 3,824 = 0$ . A weather satellite circles $0.4$ 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) \(x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 41.84 = 0\)
• B) \(x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 3,873.76 = 0\)
• C) \(x ^ { 2 } + y ^ { 2 } - 8 x - 4 y - 3,873.76 = 0\)
• D) \(x ^ { 2 } + y ^ { 2 } + 8 x + 4 y + 19.84 = 0\)

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Definitions:

Seize

To take possession of something, often by legal authority, because of a rule or law.

Suretyship

A contractual obligation undertaken by a surety to be responsible for another's performance of an obligation or payment of debt, should that party fail to perform.

Guaranty

A legal commitment to be responsible for another's debt or contractual performance if that person fails to meet their obligations.

Primarily Liable

Liable for paying the amount designated on an instrument when it is presented for payment.