Complete the Square to Determine the Type of Curve Represented $x ^ { 2 } + 4 x - 8 y + 36 = 0$

question 42

Multiple Choice

Complete the square to determine the type of curve represented by the equation. $x ^ { 2 } + 4 x - 8 y + 36 = 0$

• A) \(( x + 2 ) ^ { 2 } = 8 ( y - 5 )\)
• , parabola
• B) \(\frac { ( x + 2 ) ^ { 2 } } { 8 } + \frac { ( y - 5 ) ^ { 2 } } { 4 } = 1\)
• , ellipse
• C) \(\frac { ( x + 2 ) ^ { 2 } } { 8 } - \frac { ( y - 5 ) ^ { 2 } } { 4 } = 1\)
• , hyperbola
• D) \(( x + 2 ) ^ { 2 } = 4 ( y - 5 )\)
• , parabola
• E) none of these

Comprehend the legal recourse available under common law for environmental damages and nuisances.

Understand the establishment and enforcement of environmental standards and the penalties for non-compliance.

Grasp the concept of environmental responsibility, including the cleanup of hazardous sites and the financial implications for involved parties.

Acknowledge the role of environmental policies in the management and disposal of hazardous waste.

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Definitions:

Elastic

A term used to describe a situation where the demand or supply for a good or service significantly changes in response to a change in price.

Inelastic

Describes a situation in demand or supply where the quantity demanded or supplied changes by a smaller percentage than the changes in price.

Illinois Commerce Commission

A regulatory agency in Illinois responsible for overseeing utility services, including electricity and gas, to ensure fair practices and rates for consumers.

Commuter Rates

The fares or fees charged for transportation services, especially for those traveling to and from work.