Find the Center, Vertices, and Foci of the Ellipse with the Given

question 150

Multiple Choice

Find the center, vertices, and foci of the ellipse with the given equation.
- $$\frac { x ^ { 2 } } { 225 } + \frac { y ^ { 2 } } { 625 } = 1$$

• A) Center: \(( 0,0 )\); Vertices: \(( - 25,0 ) , ( 25,0 )\); Foci: \(( - 20,0 ) , ( 20,0 )\)
• B) Center: \(( 0,0 )\); Vertices: \(( - 25,0 ) , ( 25,0 )\); Foci: \(( 0 , - 15 ) , ( 0,15 )\)
• C) Center: \(( 0,0 )\); Vertices: \(( 0 , - 25 ) , ( 0,25 )\); Foci: \(( 0 , - 20 ) , ( 0,20 )\)
• D) Center: \(( 0,0 )\); Vertices: \(( 0 , - 25 ) , ( 0,25 )\); Foci: \(( - 15,0 ) , ( 15,0 )\)

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Definitions:

Alkene

Hydrocarbons that are unsaturated and possess a minimum of one double bond between carbon atoms, identified by the formula CnH2n.

3-Methylpent-2-Ene

An unsaturated hydrocarbon with the formula C6H12, highlighting a branch and a double bond in its structure.

Hydrogenation

A chemical reaction that involves the addition of hydrogen (H2) across unsaturated bonds in an organic compound, typically to reduce or saturate it.

PVC

Polyvinyl chloride, a synthetic plastic polymer used in a wide array of products, including pipes, cables, and clothing.