Determine the Angle $\theta$ Through Which the Axes Are Rotated $x ^ { 2 } + 2 x y + y ^ { 2 } = 10$

question 30

Multiple Choice

Determine the angle $\theta$ through which the axes are rotated.Round your answer to two decimal places.​ $x ^ { 2 } + 2 x y + y ^ { 2 } = 10$ ​

• A) \(\theta = 45 ^ { \circ }\)
• B) \(\theta = 60 ^ { \circ }\)
• C) \(\theta = 90 ^ { \circ }\)
• D) \(\theta = 145 ^ { \circ }\)
• E) \(\theta = 30 ^ { \circ }\)

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Definitions:

Cross Elasticity

A measure of how the demand for one good responds to a change in the price of another good, indicating the degree of substitutability or complementarity between the two goods.

Complements

Goods or services that are used together, where the increase in consumption of one leads to an increase in consumption of the other.

Substitutes

Goods or services that can be used in place of each other, where an increase in the price of one leads to an increase in the demand for the other.

Elasticity Coefficient

Refers to a numerical measurement of how responsive an economic variable is to a change in another variable.