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# 98. 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.

98. Buried treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2 x + 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 2 x + 4 paces to the east. If they share their information, then they can find x and save a lot of digging. What is x ? 1. Read problem 98. Along with factoring, this problem also requires the use of the Pythagorean Theorem to solve it. Work out the problem following steps 3 – 6 below. o On your scratch paper draw a diagram which includes the location of Castle Rock and the dimensions of a triangle with the given number of paces. Seeing the relationship of the sides and where the right angle is will help you know how to apply the Theorem. You may include the diagram in your paper but are not required to do so. o Write the equation first by inserting the given binomials into the Pythagorean Theorem. Show all steps and explain what you are doing as you go. 2. Write a two to three page paper that is formatted in APA style. In the body of your essay, please make sure to include: o Your solution to the above problem, making sure to include all mathematical work, and an explanation for each step. o If there is more than one solution to the quadratic equation, be sure you indicate which one is the best solution for this application problem and why. Translate the polynomial measurements of the triangle to paces according to your solution. o Read http://electronics.howstuffworks.com/gadgets/travel/gps.htm on how GPS works, at howstufffworks.com. Apply your understanding of the mathematical concepts explored in problem 98 to a discussion on navigation in general. o Incorporate the following four math vocabulary words into your writing. Use bold font to emphasize these words in your writing ( Do not write definitions for the words; use them appropriately in sentences describing your math work .): Quadratic Zero factor Pythagorean Theorem Compound equation For information regarding APA samples and tutorials, visit the Ashford

Solution:
Given that:
Venessa’s MAP shows to move north of castle x unit and 2x+4 east from that point .
Where as
Ahmed’s MAP shows 2x+6 unit in desert. This distance is the shortest distance...

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