Rotate the Axes to Eliminate The $x y$ -Term in the Following Equation

question 119

Multiple Choice

Rotate the axes to eliminate the $x y$ -term in the following equation.
$$- 30 x ^ { 2 } + 20 \sqrt { 3 } x y - 10 y ^ { 2 } - 20 x - 20 \sqrt { 3 } y = 0$$

• A) \(\left( y ^ { \prime } \right) ^ { 2 } + x ^ { \prime } = 0\)
• B) \(- 10 \sqrt { 3 } \left( y ^ { \prime } \right) ^ { 2 } - 10 \sqrt { 3 } x ^ { \prime } = 0\)
• C) \(- 10 \left( x ^ { \prime } \right) ^ { 2 } + 10 y ^ { \prime } = 0\)
• D) \(- \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 10 } - \frac { x ^ { \prime } } { 10 } = 0\)
• E) \(- \frac { \left( x ^ { \prime } \right) ^ { 2 } } { 20 } - \frac { y ^ { \prime } } { 20 } = 0\)

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A framework in cognitive psychology that compares human thought processes to a computer's operation, focusing on how information is received, processed, stored, and retrieved.

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