An Arch Is a Semi-Ellipse 16 Meters Wide and 8 $\quad \frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 8 } = 1$

question 46

Multiple Choice

An arch is a semi-ellipse 16 meters wide and 8 meters high. Write the equation of the ellipse if the ellipse is centered at the origin.

• A) \(\quad \frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 8 } = 1\)
• B) \(\quad \frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 64 } = 1\)
• C) \(\quad \frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 16 } = 1\)
• D) \(\quad \frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 64 } = 1\)
• E) none of these

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Definitions:

Acetylcholine

A neurotransmitter involved in many functions including muscle contraction, sleep regulation, and the modulation of memory in the nervous system.

Neurotransmitter

Neurotransmitters are chemical messengers that transmit signals across the synaptic gap from one neuron to another, influencing mental function and behavior.

Dopamine

A neurotransmitter in the brain that plays a crucial role in reward, motivation, and motor control.

Drug Molecule

A drug molecule is a chemical compound that has therapeutic effects or can be used in the development of pharmaceuticals.