For the Following Figure, Express the Length AB as a Function

question 25

Multiple Choice

For the following figure, express the length AB as a function of x. (Hint: Note the similar triangles.)

• A) \(A B ( x ) = \frac { ( x + 2 ) \sqrt { x ^ { 2 } + 9 } } { x ^ { 2 } }\)
• B) \(A B ( x ) = \frac { ( x + 2 ) \sqrt { x ^ { 2 } + 9 } } { x }\)
• C) \(A B ( x ) = \frac { ( x + 3 ) \sqrt { x + 4 } } { x }\)
• D) \(A B ( x ) = \frac { ( x + 3 ) ^ { 2 } ( x + 2 ) } { x }\)
• E) \(A B ( x ) = \frac { ( x + 3 ) \left( x ^ { 2 } + 2 \right) } { x }\)

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Definitions:

Liabilities

Liabilities represent obligations that a company owes to external parties, which might include loans, accounts payable, and other debts.

Working Capital

The measure of a company's operational efficiency and short-term financial health, calculated as current assets minus current liabilities.

Financial Statements

Reports that provide information about a company's financial condition including income, expenses, and net worth.

Current Ratio

A financial ratio that measures a company's ability to pay short-term obligations using its short-term assets.