Find the Center,vertices and Foci of the Hyperbola $\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 1$

question 31

Multiple Choice

Find the center,vertices and foci of the hyperbola.​ $\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 1$ ​

• A)Center: (0,0) Vertices: \(( \pm 4,0 )\)
• Foci: \(( \pm \sqrt { 41 } , 0 )\)
• B)Center: (0,0) Vertices: \(( 0 , \pm 4 )\)
• Foci: \(( 0 , \pm \sqrt { 41 } )\)
• C)Center: \(( 16,25 )\) Vertices: \(( \pm 5,0 )\)
• Foci: \(( \pm \sqrt { 41 } , 0 )\)
• D)Center: (0,0) Vertices: \(( \pm 5,0 )\)
• Foci: \(( \pm \sqrt { 41 } , 0 )\)
• E)Center: \(( 16,25 )\) Vertices: \(( \pm 4,0 )\)
• Foci: \(( \pm \sqrt { 41 } , 0 )\)

Learn how to use the Performance Analyzer and interpret its advice.

Understand the process of backing up and creating functions in modules.

Know how to open a database for exclusive access and identify a linked table.

Grasp the purpose of the Database Documenter and the content of its reports.

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Definitions:

Online Experiments

Research studies conducted over the internet, allowing for the collection of data from a broad geographic distribution of participants.

Diffusion

The method in which a new idea is shared across specific channels over a period among individuals within a social structure.

Internal Validity

The extent to which a research study accurately establishes a cause-effect relationship between the treatment and the observed outcome, minimizing the confounding variables.

Random Assignment

A method used in experiments where participants are allocated to different groups purely by chance, minimizing bias and equalizing other variables.