Find the Center and Foci of the Ellipse $\frac { ( x - 2 ) ^ { 2 } } { 45 } + \frac { ( y - 8 ) ^ { 2 } } { 81 } = 1$

question 449

Multiple Choice

Find the center and foci of the ellipse. $\frac { ( x - 2 ) ^ { 2 } } { 45 } + \frac { ( y - 8 ) ^ { 2 } } { 81 } = 1$

• A)center: \(( - 2 , - 8 )\) ; foci: \(( - 2 , - 14 ) , ( - 2 , - 2 )\)
• B)center: \(( 2,8 )\) ; foci: \(( 2,2 ) , ( 2,14 )\)
• C)center: \(( 2,8 )\) ; foci: \(( 14,8 ) , ( 8,8 )\)
• D)center: \(( - 2 , - 8 )\) ; foci: \(( - 8,8 ) , ( - 14,8 )\)
• E)center: \(( 2,8 )\) ; foci: \(( - 8 , - 8 ) , ( - 14 , - 8 )\)

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Definitions:

Netted Venation

A vein pattern in leaves where veins form a branching network throughout, common in dicotyledons.

Palmate Venation

A type of leaf venation where several main veins radiate outwards from a single point, resembling the fingers of a hand.

Transpiration

The process by which water is absorbed by plants' roots, moves up through the plants, and is released as water vapor through stomata in the leaves.

Evaporation

The phase change from liquid to gas, occurring at the surface of a liquid, significant in the water cycle and cooling processes.