Rotate the Axes to Eliminate the Xy-Term in the Equation $x y + 3 = 0$

question 135

Multiple Choice

Rotate the axes to eliminate the xy-term in the equation.Then write the equation in standard form. $x y + 3 = 0$

• A) \(\frac { \left( y ^ { \prime } \right) ^ { 2 } } { 3 } - \frac { \left( x ^ { \prime } \right) ^ { 2 } } { 3 } = 1\)
• B) \(\frac { \left( y ^ { \prime } \right) ^ { 2 } } { 6 } - \frac { \left( x ^ { \prime } \right) ^ { 2 } } { 3 } = 1\)
• C) \(\frac { \left( y ^ { \prime } \right) ^ { 2 } } { 6 } - \frac { \left( x ^ { \prime } \right) ^ { 2 } } { 6 } = 1\)
• D) \(\frac { \left( y ^ { \prime } \right) ^ { 2 } } { 3 } - \frac { \left( x ^ { \prime } \right) ^ { 2 } } { 6 } = 1\)
• E) \(\frac { \left( y ^ { \prime } \right) ^ { 2 } } { 6 } + \frac { \left( x ^ { \prime } \right) ^ { 2 } } { 6 } = 1\)

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Definitions:

Criterion Validity

The extent to which a measure is related to an outcome or criterion that it is supposed to predict.

Internal Consistency Validity

A measure of the reliability of a test or scale, indicating how well the items on the test measure the same construct or concept.

Content Validity

The extent to which a test measures all aspects of the concept or content it intends to measure.

Multiple-Forms Reliability

A type of reliability test where different forms of a test are administered to the same group of people, measuring the consistency of the results across the different forms.