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

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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(1,5) ,Q(5,7) ,R(8,1) P ( 1,5 ) , Q ( 5,7 ) , R ( 8,1 )


Definitions:

Net Present Value

A financial metric that calculates the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

Cash Flows

Cash flows represent the movement of money into and out of a business, indicating its liquidity and financial health.

Early Years

Early years typically refers to the period in human development from birth to the start of formal education, emphasizing the importance of nurturing and education in a child's early life.

Time Value

The concept that money available today is worth more than the same amount in the future due to its potential earning capacity, which is a core principle in finance.

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