Complete the Square to Write the Following Equation in the Standard

question 123

Multiple Choice

Complete the square to write the following equation in the standard form for a sphere. $$x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x + 4 y + 2 z + 16 = 0$$

• A) \(( x + 2 ) ^ { 2 } + ( y + 2 ) ^ { 2 } + ( z + 1 ) ^ { 2 } = 25\)
• B) \(( x - 2 ) ^ { 2 } + ( y + 2 ) ^ { 2 } + ( z + 1 ) ^ { 2 } = 25\)
• C) \(( x - 2 ) ^ { 2 } + ( y - 2 ) ^ { 2 } + ( z + 1 ) ^ { 2 } = 25\)
• D) \(( x - 2 ) ^ { 2 } + ( y + 2 ) ^ { 2 } + ( z + 1 ) ^ { 2 } = 5\)
• E) \(( x - 2 ) ^ { 2 } + ( y - 2 ) ^ { 2 } + ( z - 1 ) ^ { 2 } = 25\)

---

Definitions:

Direct Costs

Expenses that can be directly attributed to the production of goods or services, such as materials and labor.

Floatation Costs

Costs a company faces when issuing new securities, such as underwriter fees, legal charges, and registration expenses.

Firm Commitment

A firm commitment refers to an underwriter's agreement to assume all inventory risk and purchase all securities directly from the issuer for sale to the public.

Underwriter

A professional who assesses and accepts the risk of an insurance policy or security, determining pricing and coverage.