Complete the Square and Write the Equation in Standard Form $$12 x ^ { 2 } + 12 y ^ { 2 } = 144$$

question 314

Multiple Choice

Complete the square and write the equation in standard form. Then give the center and radius of the circle.
- $$12 x ^ { 2 } + 12 y ^ { 2 } = 144$$

• A) \(x ^ { 2 } + y ^ { 2 } = 12\)
• \(( 0,0 ) , r = 2 \sqrt { 3 }\)
• B) \(x ^ { 2 } + y ^ { 2 } = 12\)
• \(( 0,0 ) , r = 12\)
• C) \(x ^ { 2 } + y ^ { 2 } = 144\)
• \(( 0,0 ) , r = 12\)
• D) \(( \mathrm { x } - 12 ) ^ { 2 } + ( \mathrm { y } - 12 ) ^ { 2 } = 12\)
• \(( 12,12 ) , \mathrm { r } = 2 \sqrt { 3 }\)

Understand the concept of incremental cash flows in evaluating a new project and distinguish between relevant and irrelevant costs.

Calculate and interpret the impact of adding a new product line on existing sales and understand cannibalization effects.

Calculate the net present value (NPV) and internal rate of return (IRR) for a given project.

Understand and calculate operating cash flows using different approaches (e.g., top-down, bottom-up).

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