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A Triangle with Vertices at (X1, Y1), (X2, Y2), and (X3

question 389

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A triangle with vertices at (x1, y1) , (x2, y2) , and (x3, y3) has area equal to the absolute value of D, where D=12x1y11x2y21x3y31D = \frac { 1 } { 2 } \left| \begin{array} { l l l } x _ { 1 } & y _ { 1 } & 1 \\x _ { 2 } & y _ { 2 } & 1 \\x _ { 3 } & y _ { 3 } & 1\end{array} \right| Find the area of the triangle having vertices at P, Q, and R.
-P(0, 5) , Q(5, 8) , R(7, 4)

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Definitions:

Customizing

The process of modifying or creating products or services according to the customer's or user's specific needs.

Predetermined Overhead Rate

An estimated rate used to allocate manufacturing overhead to products or job orders based on a certain activity base.

Machine-Hours

A measure of the amount of time a machine is operated within a specific period, often used for allocating machine costs to products.

Direct Labor-Hours

Total labor hours of workers directly engaged in the production line.

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