Use the Discriminant to Classify the Graph $x ^ { 2 } - 10 x y - 8 y ^ { 2 } - 18 = 0$

question 2

Multiple Choice

Use the discriminant to classify the graph.​ $x ^ { 2 } - 10 x y - 8 y ^ { 2 } - 18 = 0$ ​

• A)The graph is a parabola.
• B)The graph is a hyperbola.
• C)The graph is a ellipse.
• D)The graph is a cone.
• E)The graph is a circle.

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Definitions:

Economic Profits

The surplus remaining after total costs (both explicit and implicit) are subtracted from total revenues, often indicating the financial health and efficiency of a company.

Long-Run Average Cost

The average cost per unit of output where all inputs, including capital, are variable over time, reflecting economies or diseconomies of scale.

Plant Size

The capacity or physical extent of a manufacturing facility, which influences its production capabilities, economies of scale, and operational efficiency.

ATC

ATC, or Average Total Cost, is the per-unit cost of production, calculated by dividing the total cost by the quantity of output produced, comprising both fixed and variable costs.