Use Determinants to Find the Area of a Triangle with the Given

question 154

Multiple Choice

Use determinants to find the area of a triangle with the given vertices and confirm your answer by plotting the points in a coordinate plane and using the formula $$\text { Area } \left. = \frac { 1 } { 2 } \text { (base) (height } \right)$$ .
(5, -3) , (2, -2) , (7, 5)

• A)21
• B)13
• C)15
• D)19
• E)17

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Definitions:

Output

The amount of goods or services produced by a company, industry, or economy within a specified period.

VC

Venture Capital, a form of private equity financing provided by investors to startups and small businesses with long-term growth potential.

AVC

Average Variable Cost, which is the total variable costs (costs that change with production levels) divided by the quantity of output produced.

AFC

Average Fixed Cost; the fixed expenses of a company divided by the number of units produced.