Find the Standard Form of the Equation of the Following $10 x ^ { 2 } - 6 y ^ { 2 } = 60$

question 96

Multiple Choice

Find the standard form of the equation of the following hyperbola.
$10 x ^ { 2 } - 6 y ^ { 2 } = 60$

• A) \(\frac { x ^ { 2 } } { ( \sqrt { 6 } ) ^ { 2 } } - \frac { y ^ { 2 } } { ( \sqrt { 10 } ) ^ { 2 } } = 1\)
• B) \(\frac { x ^ { 2 } } { 10 ^ { 2 } } - \frac { y ^ { 2 } } { 6 ^ { 2 } } = 1\)
• C) \(\frac { y ^ { 2 } } { ( \sqrt { 10 } ) ^ { 2 } } - \frac { x ^ { 2 } } { ( \sqrt { 6 } ) ^ { 2 } } = 1\)
• D) \(\frac { y ^ { 2 } } { ( \sqrt { 6 } ) ^ { 2 } } - \frac { x ^ { 2 } } { ( \sqrt { 10 } ) ^ { 2 } } = 1\)
• E) \(\frac { x ^ { 2 } } { ( \sqrt { 10 } ) ^ { 2 } } - \frac { y ^ { 2 } } { ( \sqrt { 6 } ) ^ { 2 } } = 1\)

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Definitions:

After-Tax Salvage

The net value gained from selling an asset after accounting for taxes on the sale.

Marginal Tax Rate

The tax rate applicable to the last dollar of the taxpayer's income, influencing financial decision-making and planning.

Top-Down Approach

A decision-making process that starts at the highest level of an organization and cascades down to lower levels; also, a method of analysis that begins with a macro overview before drilling down into specifics.

Operating Cash Flow

The cash generated by a company's normal business operations, indicating whether a company is able to generate sufficient positive cash flow to maintain and grow its operations.