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:

Forecasted Value

An estimate of what a variable's value will be at a future point in time, based on patterns observed in past data.

Trend Line

A line graphed in a scatter plot to show the general direction of a dataset over time.

Quarterly Data

Data that is collected, reported, or compiled at three-month intervals, often used in financial and economic analysis to track seasonal patterns and short-term trends.

Seasonal Indexes

Numerical values that represent the relative level of seasonal influence on a variable, often used to adjust data for seasonal effects.