Determine the Two Equations Necessary to Graph the Ellipse with a Graphing

question 29

Multiple Choice

Determine the two equations necessary to graph the ellipse with a graphing calculator.
- $$\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 36 } = 1$$

• A) \(x = \frac { 5 \sqrt { 25 - y ^ { 2 } } } { 36 }\) and \(x = - \frac { 5 \sqrt { 25 - y ^ { 2 } } } { 36 }\)
• B) \(y = \frac { 6 \sqrt { 25 - x ^ { 2 } } } { 5 }\) and \(y = - \frac { 6 \sqrt { 25 - x ^ { 2 } } } { 5 }\)
• C) \(x = \sqrt { \frac { 180 - x ^ { 2 } } { 6 } }\) and \(x = - \sqrt { \frac { 180 - y ^ { 2 } } { 6 } }\)
• D) \(y = \frac { 6 \sqrt { 25 - x ^ { 2 } } } { 25 }\) and \(y = - \frac { 6 \sqrt { 25 + x ^ { 2 } } } { 25 }\)

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Definitions:

Dehydrogenated

Describes a chemical reaction in which hydrogen is removed from a molecule, often leading to the formation of double bonds or the introduction of oxygen atoms.

Stereochemical Designator

Notations used to describe the spatial arrangement of atoms around a stereocenter or double bond in a molecule, such as (R)/(S) or (E)/(Z) configurations.

Methylbutene Structures

Refers to the structural variations of the hydrocarbon molecule butene, with one or more methyl groups attached to its chain.

Hydrogenation

The chemical reaction between molecular hydrogen (H2) and another compound or element, typically in the presence of a catalyst, resulting in the addition of hydrogen.