Find an Equation for the Sphere with the Given Center $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x = 77$

question 168

Multiple Choice

Find an equation for the sphere with the given center and radius.
-Center (-2, 0, 0) , radius = 9

• A) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x = 77\)
• B) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 4 x = 77\)
• C) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x = 9\)
• D) \(x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 4 x = 9\)

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Definitions:

Net Present Value

Net Present Value (NPV) is a financial metric that calculates the present value of the net cash flows from an investment, considering the time value of money.

Salvaging Fixed Assets

The process of recovering value from fixed assets that are no longer usable in their intended capacity, often through sale or recycling.

Discount Rate

Within discounted cash flow analysis, it is the interest rate used to determine the present value of cash flows anticipated in the future.

Initial Investment

Initial Investment is the amount of money used to start a project, purchase an asset, or invest in a financial product, prior to generating any returns.