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Solve the Problem (x1,y1),(x2,y2)\left( x _ { 1 } , y _ { 1 } \right) , \left( x _ { 2 } , y _ { 2 } \right)

question 3

Multiple Choice

Solve the problem.
-The area of a triangle with vertices (x1,y1) ,(x2,y2) \left( x _ { 1 } , y _ { 1 } \right) , \left( x _ { 2 } , y _ { 2 } \right) , and (x3,y3) \left( x _ { 3 } , y _ { 3 } \right) is
 Area =±12x1y11x2y21x3y31\text { Area } = \pm \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|
where the symbol ±\pm indicates that the appropriate sign should be chosen to yield a positive area. Use this formula to find the area of a triangle whose vertices are (2,10) ,(6,4) ( 2,10 ) , ( 6 , - 4 ) , and (3,9) ( - 3 , - 9 ) .

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Definitions:

In the Money

A term used in options trading indicating that the option has intrinsic value.

Call

An option contract giving the owner the right, but not the obligation, to buy a specified amount of an underlying asset at a set price within a specified time.

Positive Intrinsic Value

The condition where an option or other financial instrument has a market price below its calculated value, suggesting undervaluation.

In-the-Money

An option is considered in-the-money when it has intrinsic value, meaning that for a call option the market price of the asset is above the strike price, and for a put option, it's below the strike price.

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