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:

Microallocation

The distribution of limited healthcare resources to specific individuals based on certain criteria, often within a smaller, more immediate context.

Commercial Organ Procurement

The practice of buying and selling organs for transplantation, often criticized for ethical concerns, including exploitation and inequity in access to transplant surgeries.

Human Dignity

The inherent worth of all individuals, demanding respect and ethical treatment in all circumstances.

Anandh

Likely referring to the same individual previously mentioned, potentially a scholar or researcher with contributions in a specific field of study, though the lack of context prevents a precise definition.