The assignment for this week is on page 371 number 98. 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? (Dugoploski) With that information we know that Vanessa must walk North x paces, then 2x + 4 paces to the East. We do not know which direction Ahmed must go, but assume that they will end up in the same location. Using a piece of paper I drew the triangle and it is a right triangle. Now I can use the Pythagorean Theorem to help solve for x. The Pythagorean Theorem is a^2+b^2=c^2. Letting a = x, b = 2x+4, and c = 2x+6 a^2+b^2=c^2 Pythagorean Theorem x^2+〖(2x+4)〗^2=〖(2x+6)〗^2 Putting the binomials into the Pythagorean

Theorem.
x^2+〖4x〗^2+16x+16=〖4x〗^2+24x+36 Binomials squared. x^2+16x+16=24x+36 Subtract 〖4x〗^2 out x^2+16x-24x+16-36=0 Subtracted 24x+36 to the other side x^2-8x-20=0 Now I have a quadratic equation with a zero

factor.
(x-10)(x+2)=0 Coefficient of x^2 is 1. Put a x inside two sets of parenthesis. Use the trial and error method to find two factors of -20 that add up to -8. My first choice was -5, 2 or 5, -2. Which did not work. So I tried 10, -2 and -10, 2.

x - 10 = 0 or x + 2 = 0 compound equation x = 10 or x = -2 possible answers You cannot use one of these answers because it is a negative number. You cannot have negative...

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Pythagorean Quadratic
Member
MAT 222 Introduction to Algebra
Instructor Yvette Gonzalez-Smith
August 04, 2013
Pythagorean Quadratic
The PythagoreanTheorem is an equation that allows a person to find the length of a side of a right triangle, as long as the length of the other two sides is known. The theorem basically relates the lengths of three sides of any right triangle. The...

...The PythagoreanTheorem was one of the earliest theorems known to ancient civilizations. This famous theorem is named for the Greek mathematician and philosopher, Pythagoras. Pythagoras founded the Pythagorean School of Mathematics in Cortona, a Greek seaport in Southern Italy. He is credited with many contributions to mathematics although some of them may have actually been the work of his students.
The...

... The assignment for the week is on page 371 number 98. We will be using PythagoreanTheorem, quadratic, zero factor, and compound equation, to solve this equation. We will explain step by step to solve how many paces to reach Castle Rock for Ahmed and Vanessa had to accomplish to meet there goal. 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...

...In mathematics, the Pythagoreantheorem — or Pythagoras' theorem — is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas, it states:
In any right-angled triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).
The...

...PythagoreanTheorem:
Some False Proofs
Even smart people make mistakes. Some mistakes are getting published and thus live for posterity to learn from. I'll list below some fallacious proofs of the Pythagoreantheorem that I came across. Some times the errors are subtle and involve circular reasoning or fact misinterpretation. On occasion, a glaring error is committed in logic and leaves one wondering how it could have avoided being...

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PythagoreanTheorem
Pythagoras was born in Samos, Greece around 570 BCE. From there he emigrated to Croton, Italy where most of his most important ideas and theories would develop. Early on, Pythagoras founded a society of disciples where he introduced the idea eternal recurrence into Greek thought, and it was Pythagoras’ ambition to reveal the basis of divine order. This is how Pythagoras came to mathematics, and he saw math as a purifier of the soul, and...

...Assignment: Pythagorean Quadratic
Algebra has been around for many years. Some people feel there is no use for algebra in the real world. There are those who feel it is a waste of time because only certain professions really use it. However, algebra is used in many ways which can relate to everyday situations. Algebra truly is a part of our everyday life and there really is no escaping it. This week, we are asked to solve a problem using the Pythagorean...

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PythagoreanTheorem
In mathematics, the Pythagoreantheorem or Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas, it states:
In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares...