Mat 221 Week 5 Assignment

In: Business and Management

Submitted By DeJuan24
Words 449
Pages 2
Assignment 5 1

Assignment 5
DeJuan Stanley
MAT 221
Prof Timothy Kilgore
June 2, 2014

MAT 221 Week 5 Assignment Buried treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information then they can find x and save a lot of digging. What is x? The key to solving this equation is to use the Pythagorean Theorem which has a right angle in the equation with a & b equaling side c. Based on the example we know that we will have to use the formula A^2 + B^2 = C^2. What we know is that Ahmed’s half of the map is 2x + 6 = treasure, which would be how far he would need to walk, (A^2). Vanessa’s map needs to show her how to get to the North of Castle Rock, which is 2x + 4, (C^2). We are trying to solve for X (side B). Vanessa is forming a 90 degree angle from point B and walk (2x + 4) until she made it to C. The formula we would use to solve for X is the following:
(2x + 6)^2 = x^2 + (2x + 4)^2
4x^2 + 24x + 36 = x^2 +4x^2 + 16x + 16
The next step would be to combine like terms, multiplying, adding, and subtracting.
24x + 36 = x^2 + 16x + 16
-24x -24x

36 = x^2 – 8x + 16
-36 -36

Now we have a quadratic equation. Treasure = x^2 – 8x – 20. We have simplified the equation, now we can solve for X. Inside the quadratic equation, x^2 – 8x – 20 = 0, we can solve by factoring and using the zero factor. This is called the compound equation, because we know that the two factors we have are 10 and -2, so we can solve for each binomial. The equation is (x-a)(x+b)=0 or (x – 10)(x + 2). The answer…...

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