Pythagorean Quadratic Essay

Submitted By willlieman
Words: 604
Pages: 3
Open Document
PYTHAGOREAN QUADRATIC 2
The Pythagorean Theorem was styled after Pythagoras, who was a well-known Greek philosopher and mathematician, and the Pythagorean Theorem is one of the first theorems recognized in ancient human development. “The Pythagorean theorem states that in any right triangle the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse” (Dugopolski, 2012). Based on these grounds, many builders from assorting times throughout history have utilized this theorem to guarantee that their infrastructures were positioned with right angles. In this assignment, we will use the example of locating a treasure using two varying treasure maps as the two points needed to regulate how many paces are needed to find the precise location to start digging for treasure. For this assignment, we are given instructions to solve problem number 98 from page 371 in Elementary and Intermediate Algebra, which states that Ahmed’s treasure map describes that the treasure can be found 2x +6 steps from Castle Rock and Vanessa’s half indicates to walk x steps heading north, then 2x + 4 steps toward the east (Dugopolski, 2012). The Pythagorean Theorem is needed to figure out what variable x would be if they were to join forces and integrate their data. The Pythagorean Theorem designates that a right triangle has legs with the length of a and b and the longest side of the triangle, the “hypotenuse” as the length of c. Thus, the relationship with these lengths is the short equation of a2 + b2 = c2 (Dugopolski, 2012).
Let a = x
Let b = 2x + 4
Let c = 2x + 6 a2 + (2x + 4)2 = (2x +6)2 Plug the binomials into the Pythagorean Theorem

PYTHAGOREAN QUADRATIC 3 a2 + 4x2 +16x +16 = 4x2 + 24x + 36 The binominal are now squared and the 4x2 is then -4x2 -4x2 subtracted from both sides of the equation a2 + 16x +16 = 24x + 36 Now the 24x is subtracted from both sides of the
-24x -24x equation. a2 - 8x +16 = 36 subtract 36 from both sides -36 -36 a2 - 8x -20 = 0 Remaining is a quadratic equation to solve by factoring and using the zero factor
Two factors of -20 that adds up to -8 are needed.
-1,20; 1,-20; -4,5; 4,-5; -2,10; 2,-10 factors 2
Show More

Related Documents: Pythagorean Quadratic Essay

Mat 117 Version 8 Weeks 1-9 All Dqs a+ Study Guide Essay

MAT 117 /MAT117 Course Algebra 1B Weeks 1 – 9 All Discussion Questions Week 1 DQ 1 1. What four steps should be used in evaluating expressions? 2. Can these steps be skipped or rearranged? Explain your answers.3. Provide an expression for your classmates to evaluate. Week 1 DQ 21. Do you always use the property of distribution when multiplying monomials and polynomials? Explain why or why not. 2. In what situations would distribution become important?3. Provide an example using the distributive…

Words 1272 - Pages 6

Linear Equation Essay

inches and the length, which is one inch more than three times the width, is 10 inches. Distance and Midpoint Formulas Two useful formulas in algebra are the distance formula and the midpoint formula. The distance formula is derived from the Pythagorean Theorem and uses two points plotted in the Cartesian coordinate system to determine the distance between them. The formula is as follows: Example: Find the distance between the points (2, 5) and (-3, 1). Solution: The midpoint formula will…

Words 2051 - Pages 9

Math 135 Final Exam

http://mathsoc.uwaterloo.ca/, problems from the reference book (Gilbert and Vanstone’s Mathematical Thinking) and problems created in study groups are all sources of propositions. You are not expected to reproduce the RSA Theorem, the Characterization of Pythagorean Triples or Fermat’s Last Theorem (n = 4). However, you are expected to understand the proofs and be able to complete parts of the proof with some guidance. MapleTA has had additional quizzes added to practice your computational skills. Before…

Words 685 - Pages 3

Mast235 4 14 CourseOutline Essays

Department of Mathematics & Statistics Concordia University MAST 235 Linear Algebra and Applications II Winter 2015 Instructor: Dr. A. Atoyan, Office: LB 1041.24 (SGW) E-mail: atoyan@mathstat.concordia.ca Office hours: __Wednesday 12:00-13:30, Thursday 13:30-14:30 Textbook: Linear Algebra, Theory and Applications, by Ward Cheney & David Kincaid. 2nd edition. Publisher: Jones & Bartlett. Prerequisites: Math 234 or equivalent is a prerequisite for this course. The objective This…

Words 1134 - Pages 5

Ancient Greece and Its Influence on Western Society Essay

Ancient Greek culture had major influences on today’s culture; some of these influences include mathematics, government, art and architecture; they even did research in the field of medicine. Many cultures and religions have adapted their ideas from the ancient Greeks. Without the influences of the ancient Greeks our society wouldn’t be the way it is today. The Greek culture lasted from around 776 BCE to 146 BCE (though it is argued to have begun around 1000 BCE), during this time they invented…

Words 919 - Pages 4

Missouri Math Standards

mathematical equations. Students will also be able to solve linear problems that contain up to two variables. Furthermore, they will consider the principles of congruence and transformation as it applies to geometric figures, and will be introduced to the Pythagorean Theorem. !!!High School Math Standards in Missouri !!Number and Quantity Concepts of exponents, rational, and irrational numbers previously learned will be expanded at the high school level. The application and selection of appropriate units…

Words 993 - Pages 4

Trigonometry and Unit Circle Essay

Trigonometry and the Unit Circle Lesson One: Angles and Angle Measures Specific Outcome 1: Demonstrate an understanding of angles in standard position, expressed in degrees and radians. Achievement Indicators: 1.1 Sketch, in standard position, an angle (positive or negative) when the measure is given in degrees. 1.2 Describe the relationship among different systems of angle measurement, with emphasis on radians and degrees. 1.3 Sketch, in standard position, an angle with a measure of 1 radian…

Words 7260 - Pages 30

Orders of Magnitude and Page Essay

STUDENT NAME Texas Assessment of Knowledge and Skills GRADE 9 READING MATHEMATICS Administered Spring 2004 Copyright © 2004, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work is prohibited without express written permission from Texas Education Agency. READING Page 3 DIRECTIONS Read the two selections and the viewing and representing piece. Then answer the questions that follow. The Friendship by Marjorie Kinnan Rawlings 1 The little…

Words 9392 - Pages 38