Rotate the Axes to Eliminate the Xy-Term in the Equation $x y - 6 = 0$

question 85

Multiple Choice

Rotate the axes to eliminate the xy-term in the equation.Then write the equation in standard form. $x y - 6 = 0$

• A) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 6 } - \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 6 } = 1\)
• B) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 6 } + \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 6 } = 1\)
• C) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 12 } + \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 12 } = 1\)
• D) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 12 } - \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 12 } = 1\)
• E) \(\frac { \left( x ^ { \prime } \right) ^ { 2 } } { 6 } - \frac { \left( y ^ { \prime } \right) ^ { 2 } } { 12 } = 1\)

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Definitions:

Interest Expense

The cost incurred by an entity for borrowed funds, reflected as a charge against earnings.

Installment Payments

Periodic payments made over a set period of time to pay off a loan or purchase.

Fixed Interest Rate

An interest rate on a liability, such as a loan or mortgage, that remains the same throughout the term of the loan.

Bond Redemption

The process of repaying the face value of a bond upon its maturity, thereby fulfilling the issuer's obligations to the bondholders.