Determine the Angle $\theta$ Through Which the Axes Are Rotated $24 x ^ { 2 } + 66 x y + 13 y ^ { 2 } = 32$

question 102

Multiple Choice

Determine the angle $\theta$ through which the axes are rotated.Round your answer to two decimal places. $24 x ^ { 2 } + 66 x y + 13 y ^ { 2 } = 32$

• A) \(\theta = 78.87 ^ { \circ }\)
• B) \(\theta = 79.87 ^ { \circ }\)
• C) \(\theta = 81.87 ^ { \circ }\)
• D) \(\theta = 77.87 ^ { \circ }\)
• E) \(\theta = 80.87 ^ { \circ }\)

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Mutuality

The sharing of feelings, actions, and responsibility reciprocally among members of a relationship or group.

Interdependence

A social and psychological concept referring to the way in which individuals depend on each other for the fulfillment of their needs, influencing their behaviors and attitudes in social contexts.

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A type of attachment style characterized by anxiety and uncertainty in relationships, often resulting from inconsistent caregiving in early life.

Caudate Nucleus

A brain structure known to play significant roles in learning, memory, reward processing, motivation, and movement.