Rotate the Axes So That the New Equation Contains No $24 x y - 7 y ^ { 2 } + 36 = 0$

question 186

Multiple Choice

Rotate the axes so that the new equation contains no xy-term. Discuss the new equati
- $24 x y - 7 y ^ { 2 } + 36 = 0$

• A) \(\theta = 36.9 ^ { \circ }\)
• \(\frac { y ^ { \prime 2 } } { 9 } - \frac { x ^ { \prime 2 } } { 16 } = 1\)
• hyperbola
• \(\text { center at }(0,0)\)
• transverse axis is the \(y ^ { \prime }\)-axis
• \(\text { vertices at }(0, \pm 3)\)
• B) \(\theta = 36.9 ^ { \circ }\)
• \(\frac { 4 y ^ { \prime 2 } } { 9 } - \frac { x ^ { \prime 2 } } { 4 } = 1\)
• hyperbola
• \(\text { center at }(0,0)\)
• transverse axis is the \(y ^ { \prime }\)-axis
• vertices at \(\left( 0 , \pm \frac { 3 } { 2 } \right)\)
• C) \(\theta = 36.9 ^ { \circ }\)
• \(\frac { y ^ { \prime 2 } } { 4 } - \frac { 4 x ^ { \prime 2 } } { 9 } = 1\)
• hyperbola
• center at \(( 0,0 )\)
• transverse axis is the \(y ^ { \prime }\)-axis
• vertices at \(( 0 , \pm 2 )\)
• D) \(\theta = 53.1 ^ { \circ }\)
• \(\frac { y ^ { \prime 2 } } { 4 } - \frac { 4 x ^ { \prime 2 } } { 9 } = 1\)
• hyperbola
• center at \(( 0,0 )\)
• transverse axis is the \(y ^ { \prime }\)-axis
• vertices at \(( 0 , \pm 2 )\)

Comprehend the significance and roles of nonviolent movements in political change.

Distinguish between different forms of political organizations (band, tribe, chiefdom, state).

Grasp the concept of hereditary power and its implications for political structure in chiefdoms.

Recognize the influence of natural selection on gender roles and societal expectations.

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Definitions:

Reasonable Care

A legal standard that requires individuals to act with the same level of care that a reasonably prudent person would exhibit in the same situation.

Fraudulent Misrepresentation

An intentional false statement of a material fact made by one party to induce another party to enter into a contract, resulting in harm or loss.

Defalcation

The misappropriation of funds or property by a person trusted with its charge; often related to embezzlement.

Consciously False

Refers to a statement or claim made with the knowledge that it is not true.