Graph the Ellipse $9 x ^ { 2 } + 16 y ^ { 2 } = 144$

question 2

Multiple Choice

Graph the ellipse. Specify the lengths of the major and minor axes, the foci and the eccentricity. $9 x ^ { 2 } + 16 y ^ { 2 } = 144$

• A) length of major axis: 8; Length of minor axis: 6; Foci: \(( 0 , \pm \sqrt { 7 } )\) ; Eccentricity: \(\frac { \sqrt { 7 } } { 4 }\)
• B) length of major axis: 4; Length of minor axis: 3; Foci: \(( 0 , \pm \sqrt { 7 } )\) ; Eccentricity: \(\frac { \sqrt { 7 } } { 4 }\)
• C) length of major axis: 9.6; Length of minor axis: 7.2; Foci: \(( 0 , \pm \sqrt { 7 } )\) ; Eccentricity: \[\frac { \sqrt { 7 } } { 4 }\]
• D) length of major axis: 8; Length of minor axis: 6; Foci: \(( \pm \sqrt { 7 } , 0 )\) ; Eccentricity: \(\frac { \sqrt { 7 } } { 4 }\)
• E) length of major axis: 4; Length of minor axis: 3; Foci: \(( \pm \sqrt { 7 } , 0 )\) ; Eccentricity: \(\frac { \sqrt { 7 } } { 4 }\)

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Definitions:

Psychological Disorders

Mental disorders characterized by patterns of thought, feeling, and behavior that are significantly distressing, deviant from cultural norms, and lead to impairment in functioning.

Substance Abuse

The adverse or perilous engagement with psychoactive substances, encompassing both alcohol and banned drugs.

Treatment Costs

The financial expenditures associated with medical treatments, including the price of medications, therapy sessions, and other healthcare services.

Cognitive-behavioral Therapies

A group of psychotherapeutic treatments that address dysfunctional emotions, behaviors, and cognitions through a goal-oriented, systematic process.