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:

Suicidal Thoughts

Refers to ideations or considerations about taking one's own life, often associated with mental health conditions.

Independent Variable

In experimental research, the variable that is manipulated by the researcher to observe its effect on the dependent variable.

Analogue Experiments

Experiments that simulate real-life situations in a controlled environment to study the effects of variables on behavior in a laboratory setting.

External Validity

The extent to which the findings of a study can be generalized to other settings, populations, and time periods beyond the original conditions of the study.