Use the Discriminant to Determine If the Graph of the Equation

question 17

Essay

Use the discriminant to determine if the graph of the equation, $13 x ^ { 2 } + 6 \sqrt { 3 } x y + 7 y ^ { 2 } = 64$ is a parabola, an ellipse or a hyperbola, then use a rotation of axes to eliminate the $x y$ - term, and sketch the graph.

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Definitions:

Standard Costing System

A cost accounting method that assigns expected costs to products in order to estimate the cost of production and help with budget planning.

Direct Labour Hours

The total hours worked directly on a specific job or task by employees, often used to allocate labor costs to products or services.

Variances

Differences between planned, budgeted, or standard costs and actual costs in business operations.

Cost Of Goods Sold

The direct costs attributable to the production of the goods sold by a company, including materials, labor, and manufacturing overhead.