Solve the System by Using Any Method $\begin{array} { l } ( x + 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 25 \\( x - 3 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 8\end{array}$

question 161

Multiple Choice

Solve the system by using any method.
- $\begin{array} { l } ( x + 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 25 \\( x - 3 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 8\end{array}$

• A) \(\left\{ ( 1,1 ) , \left( \frac { 85 } { 61 } , \frac { 41 } { 61 } \right) \right\}\)
• B) \(\left\{ \left( \frac { 85 } { 61 } , \frac { 41 } { 61 } \right) , \left( - \frac { 85 } { 61 } , - \frac { 41 } { 61 } \right) \right\}\)
• C) \(\{ ( 1,1 ) , ( - 1 , - 1 ) \}\)
• D) \(\{ ( 1,1 ) \}\)

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Definitions:

Citric Acid Cycle

A set of chemical reactions that aerobic organisms use to transform acetate, obtained from carbohydrates, fats, and proteins, into carbon dioxide, thereby generating energy.

Substrate Level Phosphorylation

A metabolic process where a phosphate group is directly transferred from a substrate to ADP, forming ATP, occurring in glycolysis and the Krebs cycle.

Phosphate Group

A functional group consisting of a phosphorus atom bonded to four oxygen atoms, important in energy transfer.

ATP

Adenosine Triphosphate, a molecule that stores and transfers energy within cells.