Solve the System by the Method of Elimination $$\left\{ \begin{array} { l } y ^ { 2 } - x ^ { 2 } = 8 \\x ^ { 2 } + y ^ { 2 } = 18\end{array} \right.$$

question 33

Multiple Choice

Solve the system by the method of elimination. $$\left\{ \begin{array} { l } y ^ { 2 } - x ^ { 2 } = 8 \\x ^ { 2 } + y ^ { 2 } = 18\end{array} \right.$$

• A)( \(\sqrt { 10 }\) , \(\sqrt { 26 }\) ), ( \(\sqrt { 10 }\) , \(\sqrt { 26 }\) ), ( \(\sqrt { 10 }\) , \(\sqrt { 26 }\) ), ( \(\sqrt { 10 }\) , \(\sqrt { 26 }\) )
• B)( \(\sqrt { 13 }\) , \(\sqrt { 5 }\) ), ( \(\sqrt { 13 }\) , \(\sqrt { 5 }\) ), ( \(\sqrt { 13 }\) , \(\sqrt { 5 }\) ), ( \(\sqrt { 13 }\) , \(\sqrt { 5 }\) )
• C)( \(\sqrt { 26 }\) , \(\sqrt { 10 }\) ), ( \(\sqrt { 26 }\) , \(\sqrt { 10 }\) ), ( \(\sqrt { 26 }\) , \(\sqrt { 10 }\) ), ( \(\sqrt { 26 }\) , \(\sqrt { 10 }\) )
• D)( \(\sqrt { 5 }\) , \(\sqrt { 13 }\) ), ( \(\sqrt { 5 }\) , \(\sqrt { 13 }\) ), ( \(\sqrt { 5 }\) , \(\sqrt { 13 }\) ), ( \(\sqrt { 5 }\) , \(\sqrt { 13 }\) )
• E)no solution exists

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Definitions:

Net Present Value

A financial metric that calculates the present value of all future cash flows of a project or investment, considering the time value of money.

Maximax Strategy

A decision-making approach focused on maximizing the maximum possible payoff, suitable for optimistic decision-makers.

Maximin Criterion

A decision rule used in statistics, economics, and game theory that selects the action which has the highest minimum payoff.

States of Nature

Possible outcomes or situations in decision-making under uncertainty that affect the results of different decisions but are beyond the control of the decision-maker.