Find the Standard Form of the Equation of the Ellipse $( 15,5 )$

question 536

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics.
Center: $( 15,5 )$ ; a = 3b; Foci: $( 5,5 ) , ( 25,5 )$ , where a - thr semimajor axis, b - semiminor axis.

• A) \(\frac { ( x - 5 ) ^ { 2 } } { 225 } + \frac { ( y - 5 ) ^ { 2 } } { 200 } = 1\)
• B) \(\frac { x ^ { 2 } } { 225 } - \frac { ( y - 5 ) ^ { 2 } } { 200 } = 1\)
• C) \(\frac { ( x - 5 ) ^ { 2 } } { 225 } + \frac { y ^ { 2 } } { 200 } = 1\)
• D) \(\frac { ( x - 5 ) ^ { 2 } } { 225 } + \frac { ( y + 5 ) ^ { 2 } } { 200 } = 1\)
• E) \(\frac { ( x + 5 ) ^ { 2 } } { 225 } + \frac { ( y + 5 ) ^ { 2 } } { 200 } = 1\)

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Definitions:

One-word Speaker

An early developmental stage in children's language acquisition where they primarily communicate with single words.

Decontextualized Language

Language that is understood without the need for visual or situational context clues, often used in academic and formal settings.

Phonemes Overlap

The phenomenon where different phonemes (distinct units of sound in a specified language) share some but not all of the same phonetic features, leading to similarities in articulation.

Shape

The external form or appearance of an object defined by its outline or contour.