Find the Center, Transverse Axis, Vertices, and Foci of the Hyperbola

question 17

Multiple Choice

Find the center, transverse axis, vertices, and foci of the hyperbola.
- $$\frac { x ^ { 2 } } { 121 } - \frac { y ^ { 2 } } { 25 } = 1$$

• A) center at \(( 0,0 )\)
• transverse axis is \(y\)-axis
• vertices at \(( 0 , - 11 )\) and \(( 0,11 )\)
• foci at \(( - \sqrt { 146 } , 0 )\) and \(( \sqrt { 146 } , 0 )\)
• B) center at \(( 0,0 )\)
• transverse axis is \(\mathrm { x }\)-axis
• vertices at \(( - 11,0 )\) and \(( 11,0 )\)
• foci at \(( - 5,0 )\) and \(( 5,0 )\)
• C) center at \(( 0,0 )\)
• transverse axis is \(x\)-axis
• vertices at \(( - 5,0 )\) and \(( 5,0 )\)
• foci at \(( - \sqrt { 146 } , 0 )\) and \(( \sqrt { 146 } , 0 )\)
• D) center at \(( 0,0 )\)
• transverse axis is \(x\)-axis
• vertices at \(( - 11,0 )\) and \(( 11,0 )\)
• foci at \(( - \sqrt { 146 } , 0 )\) and \(( \sqrt { 146 } , 0 )\)

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Definitions:

Predetermined Overhead Rate

An estimated rate used to allocate manufacturing overhead costs to individual products based on a certain activity base.

Plantwide Predetermined

A rate calculated by dividing the estimated manufacturing overhead cost by the estimated amount of a cost driver, applied uniformly across a manufacturing plant.

Manufacturing Overhead Rate

A calculation used in costing that allocates indirect manufacturing costs to products based on a predetermined factor, such as machine hours or labor costs.

Machine-Hours

A measure of production time that quantifies the number of hours a machine is in operation, used for allocating manufacturing costs related to machinery use.