An Elliptical Stained-Glass Insert Is to Be Fitted in a 4ft

question 61

Multiple Choice

An elliptical stained-glass insert is to be fitted in a 4ft by 6ft rectangular opening (see figure) . Using the coordinate system shown,find an equation for the ellipse. ​

• A) \(\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1\)
• B) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 9 } = 1\)
• C) \[\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 9 } = 1\]
• D) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 4 } = 1\)
• E) \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 6 } = 1\)

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Definitions:

Optimal Ratio

The most efficient or favorable balance or proportion among elements or variables in a given context or system.

Wage Rate

The amount of compensation paid for labor services per unit of time (e.g., hour, day, or month).

Rental Rate

The price paid for the temporary use of a good, service, or property expressed typically as a daily, monthly, or yearly rate.

Minimum Cost

The lowest possible expense incurred in the production of a good or the provision of a service.