Graph the Equations to Determine Whether the System Has Any $$\left\{ \begin{array} { r } 2 x + y = 12 \\x ^ { 2 } + y ^ { 2 } = 36\end{array} \right.$$

question 37

Multiple Choice

Graph the equations to determine whether the system has any solutions. Find any solutions that exist. $$\left\{ \begin{array} { r } 2 x + y = 12 \\x ^ { 2 } + y ^ { 2 } = 36\end{array} \right.$$

• A) \(( 6,0 ) \left( - \frac { 18 } { 5 } , - \frac { 24 } { 5 } \right)\)
• B) \(( - 6,0 ) \left( \frac { 18 } { 5 } , \frac { 24 } { 5 } \right)\)
• C) \(( 6,0 ) \left( \frac { 18 } { 5 } , \frac { 24 } { 5 } \right)\)
• D) \(( - 6,0 ) \left( - \frac { 18 } { 5 } , - \frac { 24 } { 5 } \right)\)
• E)no solution exists

---

Definitions:

Dog Food

Food specifically formulated and intended for consumption by dogs, containing nutrients necessary for their health and well-being.

Desensitization Therapy

A therapeutic technique used to reduce phobias and anxieties by gradually exposing the patient to the feared object or situation in a controlled manner.

Classical Conditioning

The approach of training through the habitual pairing of two stimuli; originally, the second stimulus induces the response, which later is induced by the first stimulus solely.

Extinction

In psychology, the diminishing of a conditioned response, typically when the reinforcement or stimulus that originally led to the response is removed.