Solve the Problem $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 4 } = 1$

question 37

Multiple Choice

Solve the problem.
-An elliptical riding path is to be built on a rectangular piece of property that measures 8 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides

• A) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 4 } = 1\)
• B) \(\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 4 } = 1\)
• C) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 64 } = 1\)
• D) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 16 } = 1\)

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Definitions:

Polar Covalent Bond

A polar covalent bond is a type of chemical bond where electrons are unequally shared between atoms, leading to a distribution of electrical charge.

Water Molecule

A molecule consisting of two hydrogen atoms and one oxygen atom, chemically represented as H2O.

Salt Crystal

A type of crystal formed by the evaporation of a solution containing salt, commonly NaCl (table salt).

Dissociation

The process by which a compound separates into its component parts, molecules, or ions.