Solve the Problem $x ^ { 2 } + y ^ { 2 } + 8 x + 4 y - 41.84 = 0$

question 197

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 x2 + y2 + 8x + 4y - 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:

Committed Fixed Costs

Long-term fixed costs that cannot be easily altered in the short run, such as leases or contracts.

Fixed Cost Per Unit

A financial metric that represents the total fixed costs divided by the number of units produced. It decreases as production increases.

Variable Cost

A cost that varies in direct proportion to changes in the level of production or sales volume.

Cost Driver

A factor, such as machine-hours, beds occupied, computer time, or flight-hours, that causes overhead costs.