Graph the Equations to Determine Whether the System Has Any $$\left\{ \begin{array} { l } x - y ^ { 2 } = 0 \\x - y = - 10\end{array} \right.$$

question 32

Multiple Choice

Graph the equations to determine whether the system has any solutions. Find any solutions that exist. $$\left\{ \begin{array} { l } x - y ^ { 2 } = 0 \\x - y = - 10\end{array} \right.$$

• A) \(( 100,10 )\)
• B) \(( 0 , - 10 )\)
• C) \(( 10,0 )\)
• D) \(\left( \frac { 19 + \sqrt { 41 } } { 2 } , \frac { - 1 + \sqrt { 41 } } { 2 } \right) , \left( \frac { 19 - \sqrt { 41 } } { 2 } , \frac { - 1 - \sqrt { 41 } } { 2 } \right)\)
• E)no solution exists

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Definitions:

Observations

The act of carefully watching, listening, or noting phenomena as part of a research or study to gather information and insights.

Hypothesis

An assumption that is tested through research and experimentation.

Original Hypothesis

The initial theory or assumption that is made at the beginning of a research or experimental process, proposing a potential outcome.

Adapt

The ability to change or adjust oneself or one's approach to meet different conditions or environments.