Replace the Polar Equation with an Equivalent Cartesian Equation $$r ^ { 2 } + 2 r ^ { 2 } \sin \theta \cos \theta = 625$$

question 216

Multiple Choice

Replace the polar equation with an equivalent Cartesian equation.
- $$r ^ { 2 } + 2 r ^ { 2 } \sin \theta \cos \theta = 625$$

• A) \(x ^ { 2 } + y ^ { 2 } = 625\)
• B) \(x ^ { 2 } + 3 y ^ { 2 } = 625\)
• C) \(x + y = \pm 25\)
• D) \(x + y = 25\)

---

Definitions:

Error SSE

The sum of squared errors in statistical analysis, indicating the discrepancy between observed and predicted values.

Allman Brothers

A Southern rock band formed in 1969, known for their significant influence on the genre with hits like "Ramblin' Man" and "Midnight Rider."

Random Sample

A subset of individuals chosen from a larger set in such a way that every individual has an equal chance of being included in the sample.

Excel Output

The results produced by Microsoft Excel after processing data through formulas, functions, or simulations.