Pythagorean Quadratic Free Essays

Even though Ahmed’s half of the map doesn’t indicate which direction the 2x + 6 paces should go, we can assume that his and Vanessa’s paces should end up in the same place. I sketched this out on scratch paper I saw that it forms a right triangle with 2x + 6 being the length of the hypotenuse, and x and 2x + 4 being the legs of the triangle. Now I know how I can use the Pythagorean Theorem to solve for x. We will write a custom essay sample on Pythagorean Quadratic or any similar topic only for you Order Now The Pythagorean Theorem states that in every right triangle with legs of length a and b and hypotenuse c, these lengths have the formula of a2 + b2 = c2. Let a = x, and b = 2x + 4, so that c = 2x + 6. Then, by putting these measurements into the Theorem equation we have x2 + (2x + 4)2 = (2x + 6)2 The binomials into the Phythagorean Therom x2 + 4Ãâ€"2 + 16x + 16 = 4Ãâ€"2 + 24x + 36 are the binomials squared. This a 4Ãâ€"2 on both sides of the equation which can be (-4Ãâ€"2 -4Ãâ€"2) subtracted out first leaving the equation to be x2 + 16x + 16 = 24x + 36. Next we should Subtract 16x from both sides of equation, which then leaves us with: x2 +16 = 8x + 36. The next step would then be to subtract 36 from both sides to get a result of. x2 -20= 8x. Finally we need to subtract 8x from both sides to get x2 – 8x – 20 =0. Now we have a quadratic equation to solve by factoring and using the zero factor. (x – ) (x + ) = 0 Since the coefficient of x2 is 1 we can start with a pair of parenthesis with an x in each. Since the 20 is negative we know there will be one + and one – in the binomials. I noticed that in order for a number to multiply to -20 and add up to -8 the numbers would then have to be -10 and 2. So when I put that into the pair I ended up with (x – 10)(x + 2) = 0 Use the zero factor property to solve each binomial. Then I set each equation up to zero which made, x– 10 = 0 or x + 2 = 0 creating a compound equation. When I did the math and solved for each problem, I got the answer of x = 10 or x = -2. These are the possible solutions to our equation. However, one of these solutions will not work because it doesn’t work with this scenario at all. You cannot have negative paces in this equation because it would simply not make sense, so the -2 solution does not work, leaving us with the answer of x = 10 as the key number of paces. The treasure lies 10 paces north and 2x + 4 = 2(10) + 4 = 24 paces east of Castle Rock, or 2x + 6= 2(10) + 6 = 26 paces straight from the rock. After solving this problem I went to howstuffworks. om to read the discussion on how GPS works. This article explained things about the GPS that I never knew before. I learned a great deal from this article and found a lot of parallels between the article and this assignment. I noticed in the article it discussed trilateration and I thought it seemed very similar to the Pythagorean Theorem, being that 3 points are identifi ed between you, the satellite, and the location you are trying to get to which almost forms the shape of a triangle, although it is far more complex than that and is using circles instead of triangles. However the way I saw it is that my position and where I am trying to go would be the legs and the satellite that is directing me to my location from my current position, would have to be a 450 angle, making it the hypotenuse. If one was able to put that into numbers or do some calculate the distance of the satellite, themselves, one would easily be able to calculate your distance using the Pythagorean Theorem. Using this information a GPS is able to detect where you are, how far you are away from your location and the time it will take to get there, which can be incredibly handy, especially for those who do not have the greatest since of direction. After reading this article it should be that the Pythagorean Theorem is much more useful than I thought. It really simplifies the use of maps and a GPS system. It can be incredibly helpful in many aspects of everyday life. How to cite Pythagorean Quadratic, Papers Pythagorean Quadratic Free Essays Reflection on Crib Bumpers Tracey Crawford ECE 214: Nutrition and Health of Children and Families Kelly Wells November 12, 2012 Kids in Danger website is value because it keeps parents as well as caregivers much needed information on recalls of certain things that are not safe for younger children. Kids in Danger website does have information on other website you can go to get more information about the product as well as numbers you can call. This website gave me a lot of information on crib bumpers pads and why they were recall. We will write a custom essay sample on Pythagorean Quadratic or any similar topic only for you Order Now Due to an incident that happen in 2009 where 6-month-old Aiden died because of a crib bumper pad he rolled into and couldn’t get out. His grandmother who got kids in danger involved on the importance of crib safety and the danger of bumper pads told this story. We use this information by creating brochures or even books with activities that the parents as well as the caregivers to the safety on using products safe. We can even have seminars that would not cost too much for people to attend to give the importance on why certain toys and products have to be recall because more and more children are dying of things that can be prevented. We could also teach parents about how to use some of the product than just using what is read in the book because some of the products do come with instructions but people still could be putting it together wrong. If we educate more and more people on what is happening in the manufactures and why it happen than there would not be so much death. This information is essential to parents and caregivers on this information than there would not be so much deaths and serious injuries. I feel that parents need to know this information because if it were their own child or a family member they would want to know what they could do to prevent this from happening to them. I know we as people need to wake up and see what is going on in our neighborhoods as well as what is going in our home because the people who building this items are not paying close attention to how they are making stuff. Last year I had a cousin who was 9months old who almost choke to death on a piece of toy that felt out the box of a toy her dad was building for her brother. It really scares me to the point that I always make sure toys are very sturdy before I decide to let my kids play with them or kids in my care. I want my brochure to be of some help of the hazardously things that are been build today. I would like for my brochure to be somewhat use in the classroom or out in public. References Improving Children’s Product Safety. Kids in Danger. Retrieved on November 12,2012 from www. kidsindanger. org/product-hazard/crib-bumpers/ How to cite Pythagorean Quadratic, Papers