Find an Equation for the Ellipse Described $( 0,0 )$ ; Major Axis Horizontal with Length 10 ; Length of )

question 145

Multiple Choice

Find an equation for the ellipse described.
-Center $( 0,0 )$ ; major axis horizontal with length 10 ; length of minor axis is 4

• A) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 9 } = 1\)
• B) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1\)
• C) \(\frac { x ^ { 2 } } { 6 } + \frac { y ^ { 2 } } { 4 } = 1\)
• D) \(\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 16 } = 1\)

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Definitions:

Structure

The arrangement or organization of something's parts or elements which defines its nature or function.

Aromatic

Organic compounds that contain one or more benzene rings or similar structures, characterized by a high degree of chemical stability and unique reactions.

Π Network

A system of conjugated pi bonds in a molecule, allowing delocalized electron movement across the structure, affecting its reactivity and properties.

Anti-aromatic

Refers to cyclic compounds that do not follow the rules of aromaticity, often being less stable due to their electronic structure.