Khai+Haralson

1. To Rene Descartes arithemetic and algebra was more than numbers of science. He said that they were propositions of science that opened up new mathematical possiblities that which involved the usage of irrational numbers. This principle was later unversalized in " Rules of Guidance of the Mind". The Descartes Rule of Signs were also another contrubtution to mathematics, which was used to find the number of positve and negative roots of polynomials. He created analytic geometry and discovered one of the first forms of the law of conservations of momentum.

2. Rene Descartes most significant contribution is the his rules of signs because allowed us to the number the total number of roots whether they were positve or negative roots.

3. Something that I found really interesting about Maria Gaetana Agnesi is that she was the oldest out of twenty-one siblings.

4. The distance formula I found very important and useful. For example, you could use the formula to find out the distance between where you are and the destination to the place you want to go.

5. The slope-intercept form is y=mx+b. The intercept form that passes through the point of (-2,4) and has a slope of -1/2. y-4=-1/2(x-(-2)) y-4=-1/2x-1 y=-1/2x+3( slope intercept form)

April 29, 2011

1. In my opinion Johann Kepler was more of a scientist because he is more known for the Kepler's Laws, which is falls under that category of astronomy and astrology. The ellipse took a big impact on his work. He named one of his laws after it, The Elliptical Orbit Law. This law said that the planets took a orbit a round the sun. In mathematics he is known for Kepler's conjecture, which talks the most efficient arrangememnt of packing spheres. Also he contributed to the law of continuity. The law states that whatever exceeds the limits for the finite can also exceed the limits for the infinite.

2. Logarithms are used in the real world to measure physical quantities. They are used to measure earthquakes with the ricter scale, the scale to measure loudness with decibals, and they are also useed to study radioactive decay and growth in the populations.

3. I had problems with the circle of equations. If i had to find an equation of a circle with the center at(-1,2) and the radius at 4. Let h=-1,k=2 and r=4. You would just plug it into the formula so it would be [x-(-1)]^2+(y-2)^2=4^2. I had problems with this cause iI had trouble remembering the equation to just plug in the numbers.

4.) 2x+y=2 x+2y=-5

a.Use elimination, so I multiply the second equation by -2. and get -2x+(-4y)=10. b. You take the new equation and the first top equation(2x+y=2) and add them to get -3y=12. c. then you divide by -3 on both sides to get y=-4 d. You take y and plug that into any of the original equations, x+ 2(-4)=-5. Solve. and you get x+-8=-5. the you add 8 to both sides to get x=3. (3,-4)

5. If I were to explain how to solve a system of linear inequalities I would show them the substitution method.

- The first step in the method is to solve to find either x or y in either equation. - Second when you get the variable you choose to solve for, you just substitute it in the equation. -Third, once you did step two you solve for the other variable that is unknown. - finally you check the solution set to see if its correct and if it is you just the the solution set as is.

May 13,2011

1.The Greeks were all about there geometry. To them it was an abstract subject, that is the highest expression of mathematical science. They only allowed two tools to be used during the construction of geometrical figures. They used compasses for drawing arcs or circles and staright edge that had no measurements on and is used for only to draw straight lines.The three famous rules of antiquity are; to trisect an arbitrary angle, to construct the length of an edge of a cube having twice the volume of a given cube, to construct a square having the same area as that of a given circle.

2. You have triangles, rectangles, and octagon are used as street and traffic signs such as yield , the seatbelt sign and a stop sign.

3.Euclid is most famous for euclidean geometry

4.Cause a rhombus is a quadrilateral with two pairs of parallel sides but has to have equal side lengths.