Spencer's+page

=Phase 1: The Babylonians= =The Babylonians were a skilled race of people who lived from 1728-1686. The Babylonians built some of the greatest architectural feats by using mathematic equations as a base for the building process. They used algebra to invest their money in important things such as how many supplies they had and how many of those supplies they could sell. The Babylonians used astronomy and algebraic equations to predict when to plant and harvest their crops. This way they could have more food to sell and tax.= = = =The Babylonians were the first to divide the year into two sections, using 60 digits.= =The Babylonians did not create their own math symbols they acquired them after they defeated the Sumerians. Even though they did create new ways to apply the formulas they were not the original creators of the algebraic expressions. The Sumerians who wrote the original formulas used them simply for entertainment. They had no idea that their discovery would change the world forever.= = =



==Yang Hui was a chinese mathematician who developed the pascals triangle. He lived during the Song Dynasty in the 12th century. The Triangle was a series of numbers connected by lines. The triangle was used to factor numbers and determine square roots. Yang Hui used this triangle for entertainment. The triangle was later used to find coefficients. Yang Hui published one of the earliest math books in the world.== ==Yang Hui was the greatest of the chinese mathematicians of the era. He taught all that he knew to his apprentice,Jia Xian. Jia created the idea of numbers to the power of. His ideas were used to easily control taxes,sales,and crops.==

=Phase 2 3000 480 4100= = = = 1. Suppose a farmer has 3000 yards of fencing to enclose a rectangular field. What is the largest area that the farmer can enclose? 2L+2W =

Max Area is 564,000 Square Feet.
= 2. The owner of a ranch decides to enclose a rectangular region with 480 feet of fencing. To help the fencing cover more land, he plans to use one side of his barn as part of the enclosed region. What is the maximum area the rancher can enclose? = = =

X= 120 Plug in to the vertex formula.
= 3. A farmer wishes to enclose a rectangular region bordering a river using 4100 feet of fencing. He wants to divide the region into two equal parts using some of the fence material. What is the maximum area that can be enclosed with the fencing? = = = =Phase 3:= == Solving by graphing is translating a variable system into a graph. To Factor x^2 -2x-63=0 you need to find out what multiples of -63 add together to form -2x. We know that -7 and 9 multiply to make -63. Sp when you factor it you end up with (x+7)(x-9).