Solve the System by the Substitution Method $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 37 \\y = \sqrt { x - 5 }\end{array}$$

question 180

Multiple Choice

Solve the system by the substitution method.
- $$\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 37 \\y = \sqrt { x - 5 }\end{array}$$

• A) \(\{ ( - 7 , - 12 ) \}\)
• B) \(\{ ( - 7 , - 12 ) , ( 6,1 ) \}\)
• C) \{ \}
• D) \(\{ ( 6,1 ) \}\)

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Definitions:

Population

The total number of people or organisms in a particular area or within a specific group.

Subset

A portion of a set that contains some or all elements of the parent set, but not additional ones.

Random Assignment

A method used in experiments to assign participants to different groups in a way that each participant has an equal chance of being in any group, thereby helping to reduce bias.

Extreme Cases

Situations or examples that are unusual or rare, often used to illustrate the outer limits of possible outcomes or behaviors.