The $x ^ { \prime } y ^ { \prime }$

question 44

Multiple Choice

The $x ^ { \prime } y ^ { \prime }$ -coordinate system has been rotated $\theta$ degrees from the $x y$ -coordinate system.The coordinates of a point in the $x y$ -coordinate system are given.Find the coordinates of the point in the rotated coordinate system.​ $\theta = 30 ^ { \circ }$ , $( 2,6 )$ ​

• A) \(( \sqrt { 3 } + 3,3 \sqrt { 3 } + 1 )\)
• B) \(( \sqrt { 3 } + 3,3 \sqrt { 3 } - 1 )\)
• C) \(\left( \frac { 3 - \sqrt { 3 } } { 2 } , \frac { 3 \sqrt { 3 } + 1 } { 2 } \right)\)
• D) \(( \sqrt { 3 } - 3,3 \sqrt { 3 } - 1 )\)
• E) \(\left( \frac { 3 - \sqrt { 3 } } { 2 } , \frac { 3 \sqrt { 3 } + 3 } { 2 } \right)\)

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Definitions:

Freudian

Relating to or influenced by the theories of Sigmund Freud, especially those concerning the unconscious mind, psychosexual stages, and defense mechanisms.

Memory Consolidation

The process by which short-term memories are transformed into long-term memories, making them more stable and durable over time.

Activation-Synthesis

A theory of dreaming that suggests dreams are interpretations by our cortex of random neural activity originating in the lower brain areas during REM sleep.

Cognitive Development

The development and transformation of cognitive skills including thought processes, logical reasoning, and comprehension.