Write the Equation of the Ellipse in Standard Form $$25 x ^ { 2 } + y ^ { 2 } + 14 y + 24 = 0$$

question 73

Multiple Choice

Write the equation of the ellipse in standard form. Identify the vertices and foci.
- $$25 x ^ { 2 } + y ^ { 2 } + 14 y + 24 = 0$$

• A) \(x ^ { 2 } + \frac { ( y + 7 ) ^ { 2 } } { 25 } = 1\)
• vertices: \(( 0 , - 12 ) , ( 0 , - 2 )\)
• foci \(( 0 , - 7 - 2 \sqrt { 6 } ) , ( 0 , - 7 + 2 \sqrt { 6 } )\)
• B) \(x ^ { 2 } + \frac { ( y + 7 ) ^ { 2 } } { 25 } = 1\)
• vertices: \(( - 12,0 ) , ( - 2,0 )\)
• foci \(( - 7 - 2 \sqrt { 6 } , 0 ) , ( - 7 + 2 \sqrt { 6 } , 0 )\)
• C) \(x ^ { 2 } + \frac { ( y - 7 ) ^ { 2 } } { 25 } = 1\)
• vertices: \(( 2,0 ) , ( 12,0 )\)
• foci \(( 7 - 2 \sqrt { 6 } , 0 ) , ( 7 + 2 \sqrt { 6 } , 0 )\)
• D) \(x ^ { 2 } + \frac { ( y - 7 ) ^ { 2 } } { 25 } = 1\)
• vertices: \(( 0,2 ) , ( 0,12 )\)
• foci \(( 0,7 - 2 \sqrt { 6 } ) , ( 0,7 + 2 \sqrt { 6 } )\)

Recognize the mechanisms and effects of transactive memory in group settings.

Understand the concept of groupthink and its symptoms, as well as strategies to avoid it.

Explain the commons dilemma and how communication affects group behavior.

Identify factors that influence group decision-making, including the presence of a strong, directive leader and self-censorship.

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Definitions:

Revised Article 4

An update or amendment to a section of the Uniform Commercial Code dealing primarily with bank deposits and collections.

Postdated Instrument

A financial instrument, such as a check, with a date in the future, indicating when it becomes payable.

Drawee Bank

The bank upon which a check is drawn, responsible for paying the check amount to the payee or bearer.

Liability

A legal obligation or responsibility, often in the form of debt or duty to compensate for loss or damage caused.