Beginning and Intermediate Algebra
Beginning and Intermediate Algebra
5th Edition
ISBN: 9781259616754
Author: Julie Miller, Molly O'Neill, Nancy Hyde
Publisher: McGraw-Hill Education
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Textbook Question
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Chapter 5, Problem 3GA

Estimated Time: 25–30 minutes

Group Size: 2

Right triangles occur in many applications of mathematics. By definition, a right triangle is a triangle that contains a 90° angle. The two shorter sides in a right triangle are referred to as the “legs,” and the longest side is called the “hypotenuse.” In the triangle shown, the legs are labeled as a and b, and the hypotenuse is labeled as c.

Chapter 5, Problem 3GA, Estimated Time: 25–30 minutes Group Size: 2 Right triangles occur in many applications of , example  1

Right triangles have an important property that the sum of the squares of the two legs of a right triangles have an important property that the sum of the squares of the two legs of a right triangle equals the square of the hypotenuse. This fact is referred to as the Pythagorean theorem. In symbols, the Pythagorean theorem is stated as:

a 2 + b 2 = c 2

Now equate the two expressions representing the area of the large outer square:

Chapter 5, Problem 3GA, Estimated Time: 25–30 minutes Group Size: 2 Right triangles occur in many applications of , example  2

Expert Solution & Answer
Check Mark
To determine

To calculate: The expression representing the area of large outer square. The figure is as follows:

Beginning and Intermediate Algebra, Chapter 5, Problem 3GA , additional homework tip  1

Answer to Problem 3GA

Solution:

Equating the area of large outer square to the sum of area of Inner Square and area of four right triangle gives a2+b2=c2_.

Explanation of Solution

Given Information:

The area of Inner Square is (c)2, area of large outer square is (a+b)2 and, area of four right triangles is 4(12ab). The figure is as follows:

Beginning and Intermediate Algebra, Chapter 5, Problem 3GA , additional homework tip  2

Formula Used:

The area of square is (side)2.

The area of right-angle triangle is 12×base×height.

Calculation:

Consider the given figure.

Steps to determine the area of large outer square:

Step1: First determine the area of Inner Square and area of four right triangles.

Step2: Then add both areas which is equal to area of large outer square.

Area of Inner Square is c2 and, area of four right triangles is 4(12ab).

Now, add these two areas and equate it to the area of large outer square.

(a+b)2=c2+4(12ab)

Clear the parenthesis on both sides of the equation.

a2+2ab+b2=c2+2ab

Subtract 2ab from both sides,

a2+b2=c2

Thus, equating the area of large outer square to the sum of area of Inner Square and area of four right triangle gives a2+b2=c2.

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Chapter 5 Solutions

Beginning and Intermediate Algebra

Ch. 5.1 - Prob. 11SPCh. 5.1 - Prob. 12SPCh. 5.1 - Simplify the expressions. 8 4 ⋅ 8 8Ch. 5.1 - Prob. 14SPCh. 5.1 - Prob. 15SPCh. 5.1 - Prob. 16SPCh. 5.1 - Simplify the expressions. 17. Ch. 5.1 - Prob. 18SPCh. 5.1 - Prob. 19SPCh. 5.1 - Find the amount in an account after 3 years if the...Ch. 5.1 - Prob. 1PECh. 5.1 - Prob. 2PECh. 5.1 - Prob. 3PECh. 5.1 - Prob. 4PECh. 5.1 - Prob. 5PECh. 5.1 - Prob. 6PECh. 5.1 - Prob. 7PECh. 5.1 - Prob. 8PECh. 5.1 - Prob. 9PECh. 5.1 - Prob. 10PECh. 5.1 - Prob. 11PECh. 5.1 - Prob. 12PECh. 5.1 - Prob. 13PECh. 5.1 - Prob. 14PECh. 5.1 - Prob. 15PECh. 5.1 - Prob. 16PECh. 5.1 - Prob. 17PECh. 5.1 - Prob. 18PECh. 5.1 - Prob. 19PECh. 5.1 - Prob. 20PECh. 5.1 - Prob. 21PECh. 5.1 - Prob. 22PECh. 5.1 - Prob. 23PECh. 5.1 - Prob. 24PECh. 5.1 - Prob. 25PECh. 5.1 - Prob. 26PECh. 5.1 - Prob. 27PECh. 5.1 - Prob. 28PECh. 5.1 - Prob. 29PECh. 5.1 - Prob. 30PECh. 5.1 - For Exercises 27-34, evaluate the two expressions...Ch. 5.1 - Prob. 32PECh. 5.1 - For Exercises 27-34, evaluate the two expressions...Ch. 5.1 - Prob. 34PECh. 5.1 - Prob. 35PECh. 5.1 - Prob. 36PECh. 5.1 - Prob. 37PECh. 5.1 - Prob. 38PECh. 5.1 - Prob. 39PECh. 5.1 - Prob. 40PECh. 5.1 - Prob. 41PECh. 5.1 - Prob. 42PECh. 5.1 - Prob. 43PECh. 5.1 - Prob. 44PECh. 5.1 - For Exercises 43-50, simplify using the of...Ch. 5.1 - Prob. 46PECh. 5.1 - Prob. 47PECh. 5.1 - Prob. 48PECh. 5.1 - Prob. 49PECh. 5.1 - Prob. 50PECh. 5.1 - Prob. 51PECh. 5.1 - Prob. 52PECh. 5.1 - Prob. 53PECh. 5.1 - Prob. 54PECh. 5.1 - Prob. 55PECh. 5.1 - Prob. 56PECh. 5.1 - Prob. 57PECh. 5.1 - Prob. 58PECh. 5.1 - Prob. 59PECh. 5.1 - Prob. 60PECh. 5.1 - Prob. 61PECh. 5.1 - Prob. 62PECh. 5.1 - Prob. 63PECh. 5.1 - Prob. 64PECh. 5.1 - Prob. 65PECh. 5.1 - Prob. 66PECh. 5.1 - Prob. 67PECh. 5.1 - Prob. 68PECh. 5.1 - Prob. 69PECh. 5.1 - Prob. 70PECh. 5.1 - Prob. 71PECh. 5.1 - Prob. 72PECh. 5.1 - Prob. 73PECh. 5.1 - For Exercises 65-76, simplify each expression....Ch. 5.1 - Prob. 75PECh. 5.1 - Prob. 76PECh. 5.1 - Prob. 77PECh. 5.1 - Prob. 78PECh. 5.1 - Prob. 79PECh. 5.1 - Prob. 80PECh. 5.1 - Prob. 81PECh. 5.1 - Prob. 82PECh. 5.1 - Prob. 83PECh. 5.1 - Prob. 84PECh. 5.1 - Prob. 85PECh. 5.1 - Prob. 86PECh. 5.1 - Prob. 87PECh. 5.1 - Prob. 88PECh. 5.1 - Prob. 89PECh. 5.1 - Prob. 90PECh. 5.1 - Prob. 91PECh. 5.1 - Prob. 92PECh. 5.1 - Prob. 93PECh. 5.1 - Prob. 94PECh. 5.1 - Prob. 95PECh. 5.1 - Prob. 96PECh. 5.1 - Prob. 97PECh. 5.1 - Prob. 98PECh. 5.1 - Prob. 99PECh. 5.1 - Prob. 100PECh. 5.1 - Prob. 101PECh. 5.1 - Prob. 102PECh. 5.1 - Prob. 103PECh. 5.1 - Prob. 104PECh. 5.1 - Prob. 105PECh. 5.1 - Prob. 106PECh. 5.1 - Prob. 107PECh. 5.1 - Prob. 108PECh. 5.1 - Prob. 109PECh. 5.1 - Prob. 110PECh. 5.1 - Prob. 111PECh. 5.1 - Prob. 112PECh. 5.1 - Prob. 113PECh. 5.1 - Prob. 114PECh. 5.1 - Use the formula for Exercises 115-118. (See...Ch. 5.1 - Use the formula A = P ( 1 + r ) t for Exercises...Ch. 5.1 - Use the formula A = P ( 1 + r ) t for Exercises...Ch. 5.1 - Prob. 118PECh. 5.1 - For Exercises 119 - 122, use appropriate geometry...Ch. 5.1 - Prob. 120PECh. 5.1 - Prob. 121PECh. 5.1 - Prob. 122PECh. 5.1 - Prob. 123PECh. 5.1 - Prob. 124PECh. 5.1 - Prob. 125PECh. 5.1 - Prob. 126PECh. 5.1 - For Exercises 123-130, simplify each expression...Ch. 5.1 - Prob. 128PECh. 5.1 - Prob. 129PECh. 5.1 - Prob. 130PECh. 5.2 - Prob. 1SPCh. 5.2 - Prob. 2SPCh. 5.2 - Prob. 3SPCh. 5.2 - Prob. 4SPCh. 5.2 - Prob. 5SPCh. 5.2 - Prob. 6SPCh. 5.2 - Prob. 7SPCh. 5.2 - Prob. 8SPCh. 5.2 - Prob. 9SPCh. 5.2 - Prob. 10SPCh. 5.2 - For Exercises 1-8, simplify. 4 2 ⋅ 4 7Ch. 5.2 - Prob. 2PECh. 5.2 - Prob. 3PECh. 5.2 - Prob. 4PECh. 5.2 - For Exercises 1-8, simplify. d 13 d d 5Ch. 5.2 - Prob. 6PECh. 5.2 - Prob. 7PECh. 5.2 - Prob. 8PECh. 5.2 - Prob. 9PECh. 5.2 - Prob. 10PECh. 5.2 - Prob. 11PECh. 5.2 - Prob. 12PECh. 5.2 - Prob. 13PECh. 5.2 - Prob. 14PECh. 5.2 - Prob. 15PECh. 5.2 - Prob. 16PECh. 5.2 - Prob. 17PECh. 5.2 - Prob. 18PECh. 5.2 - Prob. 19PECh. 5.2 - Prob. 20PECh. 5.2 - Prob. 21PECh. 5.2 - Prob. 22PECh. 5.2 - Prob. 23PECh. 5.2 - 24. Evaluate the two expressions and compare the...Ch. 5.2 - Prob. 25PECh. 5.2 - Prob. 26PECh. 5.2 - Prob. 27PECh. 5.2 - Prob. 28PECh. 5.2 - Prob. 29PECh. 5.2 - Prob. 30PECh. 5.2 - Prob. 31PECh. 5.2 - Prob. 32PECh. 5.2 - Prob. 33PECh. 5.2 - Prob. 34PECh. 5.2 - Concept 2: The Properties ( a b ) m = a m b m a n...Ch. 5.2 - Prob. 36PECh. 5.2 - Prob. 37PECh. 5.2 - Prob. 38PECh. 5.2 - Prob. 39PECh. 5.2 - Prob. 40PECh. 5.2 - Prob. 41PECh. 5.2 - Prob. 42PECh. 5.2 - Prob. 43PECh. 5.2 - Prob. 44PECh. 5.2 - Prob. 45PECh. 5.2 - Prob. 46PECh. 5.2 - Prob. 47PECh. 5.2 - Prob. 48PECh. 5.2 - For Exercises 43-74, simplify. (See Examples...Ch. 5.2 - Prob. 50PECh. 5.2 - Prob. 51PECh. 5.2 - Prob. 52PECh. 5.2 - Prob. 53PECh. 5.2 - Prob. 54PECh. 5.2 - Prob. 55PECh. 5.2 - Prob. 56PECh. 5.2 - Prob. 57PECh. 5.2 - Prob. 58PECh. 5.2 - Prob. 59PECh. 5.2 - Prob. 60PECh. 5.2 - Prob. 61PECh. 5.2 - Prob. 62PECh. 5.2 - Prob. 63PECh. 5.2 - Prob. 64PECh. 5.2 - Prob. 65PECh. 5.2 - Prob. 66PECh. 5.2 - Prob. 67PECh. 5.2 - Prob. 68PECh. 5.2 - Prob. 69PECh. 5.2 - Prob. 70PECh. 5.2 - Prob. 71PECh. 5.2 - Prob. 72PECh. 5.2 - Prob. 73PECh. 5.2 - Prob. 74PECh. 5.2 - Prob. 75PECh. 5.2 - Prob. 76PECh. 5.2 - Prob. 77PECh. 5.2 - Prob. 78PECh. 5.2 - Prob. 79PECh. 5.2 - For Exercises75-82, simplify each expression....Ch. 5.2 - Prob. 81PECh. 5.2 - For Exercises75-82, simplify each expression....Ch. 5.3 - Prob. 1SPCh. 5.3 - Prob. 2SPCh. 5.3 - Prob. 3SPCh. 5.3 - Evaluate the expressions. Assume that 4. Ch. 5.3 - Prob. 5SPCh. 5.3 - Prob. 6SPCh. 5.3 - Prob. 7SPCh. 5.3 - Prob. 8SPCh. 5.3 - Prob. 9SPCh. 5.3 - Prob. 10SPCh. 5.3 - Prob. 11SPCh. 5.3 - Prob. 12SPCh. 5.3 - Prob. 13SPCh. 5.3 - Prob. 14SPCh. 5.3 - Prob. 15SPCh. 5.3 - Prob. 16SPCh. 5.3 - Prob. 17SPCh. 5.3 - Prob. 18SPCh. 5.3 - Prob. 19SPCh. 5.3 - Prob. 20SPCh. 5.3 - Simplify the expressions. 21. Ch. 5.3 - Prob. 1PECh. 5.3 - Prob. 2PECh. 5.3 - Prob. 3PECh. 5.3 - Prob. 4PECh. 5.3 - Prob. 5PECh. 5.3 - Prob. 6PECh. 5.3 - For Exercises 2-9, simplify 7. Ch. 5.3 - Prob. 8PECh. 5.3 - Prob. 9PECh. 5.3 - Prob. 10PECh. 5.3 - Prob. 11PECh. 5.3 - 12. Simplify. a. b. Ch. 5.3 - Prob. 13PECh. 5.3 - Prob. 14PECh. 5.3 - Prob. 15PECh. 5.3 - Prob. 16PECh. 5.3 - Prob. 17PECh. 5.3 - Prob. 18PECh. 5.3 - Prob. 19PECh. 5.3 - Prob. 20PECh. 5.3 - For Exercises 13-24 .simplify. (See Example...Ch. 5.3 - Prob. 22PECh. 5.3 - Prob. 23PECh. 5.3 - Prob. 24PECh. 5.3 - Prob. 25PECh. 5.3 - Prob. 26PECh. 5.3 - Prob. 27PECh. 5.3 - Prob. 28PECh. 5.3 - Prob. 29PECh. 5.3 - Prob. 30PECh. 5.3 - Prob. 31PECh. 5.3 - Prob. 32PECh. 5.3 - Prob. 33PECh. 5.3 - Prob. 34PECh. 5.3 - Prob. 35PECh. 5.3 - Prob. 36PECh. 5.3 - Prob. 37PECh. 5.3 - Prob. 38PECh. 5.3 - Prob. 39PECh. 5.3 - Prob. 40PECh. 5.3 - Prob. 41PECh. 5.3 - Prob. 42PECh. 5.3 - Prob. 43PECh. 5.3 - Prob. 44PECh. 5.3 - Prob. 45PECh. 5.3 - Prob. 46PECh. 5.3 - Prob. 47PECh. 5.3 - Prob. 48PECh. 5.3 - Prob. 49PECh. 5.3 - Prob. 50PECh. 5.3 - Prob. 51PECh. 5.3 - Prob. 52PECh. 5.3 - Prob. 53PECh. 5.3 - Prob. 54PECh. 5.3 - Prob. 55PECh. 5.3 - Prob. 56PECh. 5.3 - Prob. 57PECh. 5.3 - Prob. 58PECh. 5.3 - Prob. 59PECh. 5.3 - Prob. 60PECh. 5.3 - Prob. 61PECh. 5.3 - Prob. 62PECh. 5.3 - Prob. 63PECh. 5.3 - Prob. 64PECh. 5.3 - Prob. 65PECh. 5.3 - Prob. 66PECh. 5.3 - Prob. 67PECh. 5.3 - Prob. 68PECh. 5.3 - Prob. 69PECh. 5.3 - Prob. 70PECh. 5.3 - Prob. 71PECh. 5.3 - Prob. 72PECh. 5.3 - Prob. 73PECh. 5.3 - Prob. 74PECh. 5.3 - Prob. 75PECh. 5.3 - Prob. 76PECh. 5.3 - Prob. 77PECh. 5.3 - Prob. 78PECh. 5.3 - Prob. 79PECh. 5.3 - Prob. 80PECh. 5.3 - For Exercises 51-94, simplify each expression....Ch. 5.3 - For Exercises 51-94, simplify each expression....Ch. 5.3 - Prob. 83PECh. 5.3 - Prob. 84PECh. 5.3 - Prob. 85PECh. 5.3 - Prob. 86PECh. 5.3 - Prob. 87PECh. 5.3 - Prob. 88PECh. 5.3 - Prob. 89PECh. 5.3 - Prob. 90PECh. 5.3 - Prob. 91PECh. 5.3 - Prob. 92PECh. 5.3 - Prob. 93PECh. 5.3 - Prob. 94PECh. 5.3 - Prob. 95PECh. 5.3 - Prob. 96PECh. 5.3 - Prob. 97PECh. 5.3 - Prob. 98PECh. 5.3 - Prob. 99PECh. 5.3 - Prob. 100PECh. 5.3 - Prob. 101PECh. 5.3 - Prob. 102PECh. 5.3 - Prob. 103PECh. 5.3 - Prob. 104PECh. 5.3 - Prob. 105PECh. 5.3 - Prob. 106PECh. 5.3 - Prob. 1PRECh. 5.3 - Prob. 2PRECh. 5.3 - Prob. 3PRECh. 5.3 - Prob. 4PRECh. 5.3 - Prob. 5PRECh. 5.3 - Prob. 6PRECh. 5.3 - Prob. 7PRECh. 5.3 - Prob. 8PRECh. 5.3 - Prob. 9PRECh. 5.3 - Prob. 10PRECh. 5.3 - Prob. 11PRECh. 5.3 - For Exercises 1-40, simplify completely. Assume...Ch. 5.3 - Prob. 13PRECh. 5.3 - Prob. 14PRECh. 5.3 - Prob. 15PRECh. 5.3 - Prob. 16PRECh. 5.3 - Prob. 17PRECh. 5.3 - Prob. 18PRECh. 5.3 - Prob. 19PRECh. 5.3 - Prob. 20PRECh. 5.3 - Prob. 21PRECh. 5.3 - Prob. 22PRECh. 5.3 - Prob. 23PRECh. 5.3 - Prob. 24PRECh. 5.3 - Prob. 25PRECh. 5.3 - Prob. 26PRECh. 5.3 - Prob. 27PRECh. 5.3 - Prob. 28PRECh. 5.3 - Prob. 29PRECh. 5.3 - Prob. 30PRECh. 5.3 - For Exercises 1-40, simplify completely. Assume...Ch. 5.3 - Prob. 32PRECh. 5.3 - Prob. 33PRECh. 5.3 - Prob. 34PRECh. 5.3 - Prob. 35PRECh. 5.3 - Prob. 36PRECh. 5.3 - Prob. 37PRECh. 5.3 - Prob. 38PRECh. 5.3 - Prob. 39PRECh. 5.3 - Prob. 40PRECh. 5.4 - Write the numbers in scientific...Ch. 5.4 - Write the numbers in scientific...Ch. 5.4 - Prob. 3SPCh. 5.4 - Prob. 4SPCh. 5.4 - Write the numbers in standard form. The...Ch. 5.4 - Prob. 6SPCh. 5.4 - Prob. 7SPCh. 5.4 - Prob. 8SPCh. 5.4 - Prob. 1PECh. 5.4 - Prob. 2PECh. 5.4 - Prob. 3PECh. 5.4 - Prob. 4PECh. 5.4 - Prob. 5PECh. 5.4 - Prob. 6PECh. 5.4 - Prob. 7PECh. 5.4 - Prob. 8PECh. 5.4 - Prob. 9PECh. 5.4 - Prob. 10PECh. 5.4 - Prob. 11PECh. 5.4 - For Exercises 2-13, simplify each expression....Ch. 5.4 - For Exercises 2-13, simplify each expression....Ch. 5.4 - Prob. 14PECh. 5.4 - Prob. 15PECh. 5.4 - Prob. 16PECh. 5.4 - Prob. 17PECh. 5.4 - For Exercises 17-28, write the number in...Ch. 5.4 - Prob. 19PECh. 5.4 - For Exercises 17-28, write the number in...Ch. 5.4 - Prob. 21PECh. 5.4 - Prob. 22PECh. 5.4 - Prob. 23PECh. 5.4 - Prob. 24PECh. 5.4 - Prob. 25PECh. 5.4 - Prob. 26PECh. 5.4 - Prob. 27PECh. 5.4 - Prob. 28PECh. 5.4 - Prob. 29PECh. 5.4 - Prob. 30PECh. 5.4 - Prob. 31PECh. 5.4 - For Exercises 29-34, write each number in...Ch. 5.4 - Prob. 33PECh. 5.4 - Prob. 34PECh. 5.4 - Prob. 35PECh. 5.4 - Prob. 36PECh. 5.4 - For Exercises 37-52, write each number in standard...Ch. 5.4 - Prob. 38PECh. 5.4 - For Exercises 37-52, write each number in standard...Ch. 5.4 - Prob. 40PECh. 5.4 - Prob. 41PECh. 5.4 - Prob. 42PECh. 5.4 - Prob. 43PECh. 5.4 - For Exercises 37-52, write each number in standard...Ch. 5.4 - Prob. 45PECh. 5.4 - Prob. 46PECh. 5.4 - Prob. 47PECh. 5.4 - Prob. 48PECh. 5.4 - Prob. 49PECh. 5.4 - For Exercises 37-52, write each number in standard...Ch. 5.4 - Prob. 51PECh. 5.4 - Prob. 52PECh. 5.4 - Prob. 53PECh. 5.4 - Prob. 54PECh. 5.4 - Prob. 55PECh. 5.4 - Prob. 56PECh. 5.4 - Prob. 57PECh. 5.4 - Prob. 58PECh. 5.4 - Prob. 59PECh. 5.4 - Prob. 60PECh. 5.4 - Prob. 61PECh. 5.4 - Prob. 62PECh. 5.4 - For Exercises 53-72, multiply or divide as...Ch. 5.4 - For Exercises 53-72, multiply or divide as...Ch. 5.4 - Prob. 65PECh. 5.4 - Prob. 66PECh. 5.4 - Prob. 67PECh. 5.4 - Prob. 68PECh. 5.4 - Prob. 69PECh. 5.4 - Prob. 70PECh. 5.4 - Prob. 71PECh. 5.4 - Prob. 72PECh. 5.4 - If a piece of paper is 3 × 10 − 3 in. thick, how...Ch. 5.4 - 74. A box of staples contains staples and weighs...Ch. 5.4 - Prob. 75PECh. 5.4 - A state lottery had a jackpot of $ 5.2 × 10 7 ....Ch. 5.4 - 77. Dinosaurs became extinct about 65 million...Ch. 5.4 - The Earth is m 150 , 000 , 000 km from the Sun. a....Ch. 5.5 - Given the polynomial: 5 x 3 − x + 8 x 4 + 3 x 2 a....Ch. 5.5 - Add the polynomials. 13 a 2 b 3 + 2 a 2 b 3Ch. 5.5 - Prob. 3SPCh. 5.5 - Prob. 4SPCh. 5.5 - Find the opposite of the polynomials. 5. Ch. 5.5 - Find the opposite of the polynomials. 3 y 2 − 2 x...Ch. 5.5 - Prob. 7SPCh. 5.5 - Prob. 8SPCh. 5.5 - Prob. 9SPCh. 5.5 - Prob. 10SPCh. 5.5 - Prob. 11SPCh. 5.5 - Prob. 1PECh. 5.5 - Prob. 2PECh. 5.5 - Prob. 3PECh. 5.5 - Prob. 4PECh. 5.5 - Prob. 5PECh. 5.5 - Prob. 6PECh. 5.5 - Prob. 7PECh. 5.5 - Prob. 8PECh. 5.5 - Prob. 9PECh. 5.5 - Prob. 10PECh. 5.5 - For Exercises 10-12, a. write the polynomial in...Ch. 5.5 - Prob. 12PECh. 5.5 - Prob. 13PECh. 5.5 - Prob. 14PECh. 5.5 - For exercises 13-22, categorize each expression as...Ch. 5.5 - Prob. 16PECh. 5.5 - Prob. 17PECh. 5.5 - Prob. 18PECh. 5.5 - Prob. 19PECh. 5.5 - Prob. 20PECh. 5.5 - Prob. 21PECh. 5.5 - Prob. 22PECh. 5.5 - Explain why the terms 3 x and 3 x 2 are not like...Ch. 5.5 - Prob. 24PECh. 5.5 - Prob. 25PECh. 5.5 - Prob. 26PECh. 5.5 - Prob. 27PECh. 5.5 - Prob. 28PECh. 5.5 - Prob. 29PECh. 5.5 - Prob. 30PECh. 5.5 - Prob. 31PECh. 5.5 - Prob. 32PECh. 5.5 - Prob. 33PECh. 5.5 - For Exercises 25-42, add the polynomials. (See...Ch. 5.5 - Prob. 35PECh. 5.5 - Prob. 36PECh. 5.5 - Prob. 37PECh. 5.5 - Prob. 38PECh. 5.5 - Prob. 39PECh. 5.5 - Prob. 40PECh. 5.5 - Prob. 41PECh. 5.5 - Prob. 42PECh. 5.5 - Prob. 43PECh. 5.5 - Prob. 44PECh. 5.5 - Prob. 45PECh. 5.5 - Prob. 46PECh. 5.5 - Prob. 47PECh. 5.5 - Prob. 48PECh. 5.5 - Prob. 49PECh. 5.5 - Prob. 50PECh. 5.5 - Prob. 51PECh. 5.5 - Prob. 52PECh. 5.5 - For Exercises 49-68, subtract the polynomials....Ch. 5.5 - Prob. 54PECh. 5.5 - Prob. 55PECh. 5.5 - Prob. 56PECh. 5.5 - Prob. 57PECh. 5.5 - Prob. 58PECh. 5.5 - Prob. 59PECh. 5.5 - Prob. 60PECh. 5.5 - For Exercises 49-68, subtract the polynomials....Ch. 5.5 - Prob. 62PECh. 5.5 - For Exercises 49-68, subtract the polynomials....Ch. 5.5 - Prob. 64PECh. 5.5 - Prob. 65PECh. 5.5 - Prob. 66PECh. 5.5 - Prob. 67PECh. 5.5 - For Exercises 49-68, subtract the polynomials....Ch. 5.5 - Prob. 69PECh. 5.5 - Prob. 70PECh. 5.5 - Subtract ( 3 2 x 2 − 5 x ) from ( − 2 x 2 − 11 ) .Ch. 5.5 - Subtract ( a 5 − 1 3 a 3 + 5 a ) from ( 3 4 a 5 +...Ch. 5.5 - 73. Find a polynomial that represents the...Ch. 5.5 - Find a polynomial that represents the perimeter of...Ch. 5.5 - 75. If the perimeter of the figure can be...Ch. 5.5 - 76. If the perimeter of the figure can be...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - For Exercises 77-92, perform the indicated...Ch. 5.5 - Write a binomial of degree 3. (Answers may vary.)Ch. 5.5 - Prob. 94PECh. 5.5 - Prob. 95PECh. 5.5 - Prob. 96PECh. 5.5 - Prob. 97PECh. 5.5 - Write a binomial with the leading coefficient 13....Ch. 5.6 - Multiply the monomials ( − 5 y ) ( 6 y 3 )Ch. 5.6 - Prob. 2SPCh. 5.6 - Prob. 3SPCh. 5.6 - Prob. 4SPCh. 5.6 - Prob. 5SPCh. 5.6 - Multiply the polynomials. ( x + 2 ) ( x + 8 )Ch. 5.6 - Prob. 7SPCh. 5.6 - Prob. 8SPCh. 5.6 - Prob. 9SPCh. 5.6 - Prob. 10SPCh. 5.6 - Prob. 11SPCh. 5.6 - Square the binomials. 12. Ch. 5.6 - Prob. 13SPCh. 5.6 - Prob. 1PECh. 5.6 - Prob. 2PECh. 5.6 - Prob. 3PECh. 5.6 - Prob. 4PECh. 5.6 - Prob. 5PECh. 5.6 - Prob. 6PECh. 5.6 - Prob. 7PECh. 5.6 - Prob. 8PECh. 5.6 - For Exercises 2-9, simplify each expression (if...Ch. 5.6 - Prob. 10PECh. 5.6 - Prob. 11PECh. 5.6 - Prob. 12PECh. 5.6 - Prob. 13PECh. 5.6 - Prob. 14PECh. 5.6 - Prob. 15PECh. 5.6 - Prob. 16PECh. 5.6 - Prob. 17PECh. 5.6 - Prob. 18PECh. 5.6 - Prob. 19PECh. 5.6 - Prob. 20PECh. 5.6 - Prob. 21PECh. 5.6 - Prob. 22PECh. 5.6 - Prob. 23PECh. 5.6 - Prob. 24PECh. 5.6 - Prob. 25PECh. 5.6 - Prob. 26PECh. 5.6 - Prob. 27PECh. 5.6 - Prob. 28PECh. 5.6 - Prob. 29PECh. 5.6 - Prob. 30PECh. 5.6 - Prob. 31PECh. 5.6 - Prob. 32PECh. 5.6 - Prob. 33PECh. 5.6 - For Exercises 19-54, multiply the polynomials....Ch. 5.6 - Prob. 35PECh. 5.6 - Prob. 36PECh. 5.6 - Prob. 37PECh. 5.6 - Prob. 38PECh. 5.6 - Prob. 39PECh. 5.6 - Prob. 40PECh. 5.6 - For Exercises 19-54, multiply the polynomials.(See...Ch. 5.6 - Prob. 42PECh. 5.6 - For Exercises 19-54, multiply the polynomials.(See...Ch. 5.6 - Prob. 44PECh. 5.6 - Prob. 45PECh. 5.6 - For Exercises 19-54, multiply the polynomials.(See...Ch. 5.6 - For Exercises 19-54, multiply the polynomials.(See...Ch. 5.6 - For Exercises 19-54, multiply the polynomials....Ch. 5.6 - Prob. 49PECh. 5.6 - Prob. 50PECh. 5.6 - Prob. 51PECh. 5.6 - Prob. 52PECh. 5.6 - Prob. 53PECh. 5.6 - Prob. 54PECh. 5.6 - Prob. 55PECh. 5.6 - Prob. 56PECh. 5.6 - Prob. 57PECh. 5.6 - Prob. 58PECh. 5.6 - Prob. 59PECh. 5.6 - Prob. 60PECh. 5.6 - Prob. 61PECh. 5.6 - Prob. 62PECh. 5.6 - Prob. 63PECh. 5.6 - Prob. 64PECh. 5.6 - For Exercises 55-66, multiply the conjugates. (See...Ch. 5.6 - For Exercises 55-66, multiply the conjugates. (See...Ch. 5.6 - Prob. 67PECh. 5.6 - Prob. 68PECh. 5.6 - Prob. 69PECh. 5.6 - Prob. 70PECh. 5.6 - Prob. 71PECh. 5.6 - For Exercises 67-78, square the binomials. (See...Ch. 5.6 - For Exercises 67 - 78, square the binomials. (See...Ch. 5.6 - Prob. 74PECh. 5.6 - Prob. 75PECh. 5.6 - Prob. 76PECh. 5.6 - Prob. 77PECh. 5.6 - Prob. 78PECh. 5.6 - Prob. 79PECh. 5.6 - 80. a. Evaluate by working within the parentheses...Ch. 5.6 - Find a polynomial expression that represents the...Ch. 5.6 - Find a polynomial expression that represents the...Ch. 5.6 - Find a polynomial expression that represents the...Ch. 5.6 - 84. Find a polynomial expression that represents...Ch. 5.6 - Find a polynomial that represents the volume of...Ch. 5.6 - Prob. 86PECh. 5.6 - Find a polynomial that represents the area of the...Ch. 5.6 - 88. Find a polynomial that represents the area of...Ch. 5.6 - Prob. 89PECh. 5.6 - Prob. 90PECh. 5.6 - Prob. 91PECh. 5.6 - Prob. 92PECh. 5.6 - Prob. 93PECh. 5.6 - For Exercises 89-118, multiply the...Ch. 5.6 - Prob. 95PECh. 5.6 - Prob. 96PECh. 5.6 - Prob. 97PECh. 5.6 - For Exercises 89-118, multiply the expressions. −...Ch. 5.6 - Prob. 99PECh. 5.6 - Prob. 100PECh. 5.6 - Prob. 101PECh. 5.6 - Prob. 102PECh. 5.6 - Prob. 103PECh. 5.6 - Prob. 104PECh. 5.6 - Prob. 105PECh. 5.6 - For Exercises 89-118, multiply the...Ch. 5.6 - Prob. 107PECh. 5.6 - For Exercises 89-118, multiply the...Ch. 5.6 - Prob. 109PECh. 5.6 - Prob. 110PECh. 5.6 - Prob. 111PECh. 5.6 - Prob. 112PECh. 5.6 - Prob. 113PECh. 5.6 - Prob. 114PECh. 5.6 - Prob. 115PECh. 5.6 - For Exercises 89-118, multiply the expressions. (...Ch. 5.6 - Prob. 117PECh. 5.6 - Prob. 118PECh. 5.6 - Prob. 119PECh. 5.6 - Prob. 120PECh. 5.6 - Prob. 121PECh. 5.6 - Prob. 122PECh. 5.6 - Prob. 123PECh. 5.6 - Prob. 124PECh. 5.6 - Prob. 125PECh. 5.6 - For Exercises 125-127, determine the values of k...Ch. 5.6 - For Exercises 125-127, determine the values of k...Ch. 5.7 - Divide the polynomials. ( 36 a 4 − 48 a 3 + 12 a 2...Ch. 5.7 - Prob. 2SPCh. 5.7 - Prob. 3SPCh. 5.7 - Prob. 4SPCh. 5.7 - Prob. 5SPCh. 5.7 - Prob. 6SPCh. 5.7 - Prob. 7SPCh. 5.7 - Prob. 8SPCh. 5.7 - Prob. 9SPCh. 5.7 - Prob. 1PECh. 5.7 - 2. a. Add. b. Multiply. Ch. 5.7 - Prob. 3PECh. 5.7 - Prob. 4PECh. 5.7 - Prob. 5PECh. 5.7 - Prob. 6PECh. 5.7 - Prob. 7PECh. 5.7 - For Exercises 6-8, answers may vary. 8. Write an...Ch. 5.7 - Prob. 9PECh. 5.7 - Prob. 10PECh. 5.7 - For Exercises 9-24, divide the polynomials. Check...Ch. 5.7 - Prob. 12PECh. 5.7 - Prob. 13PECh. 5.7 - Prob. 14PECh. 5.7 - Prob. 15PECh. 5.7 - Prob. 16PECh. 5.7 - Prob. 17PECh. 5.7 - Prob. 18PECh. 5.7 - Prob. 19PECh. 5.7 - Prob. 20PECh. 5.7 - Prob. 21PECh. 5.7 - For Exercises 9-24, divide the polynomials. Check...Ch. 5.7 - Prob. 23PECh. 5.7 - Prob. 24PECh. 5.7 - Prob. 25PECh. 5.7 - Prob. 26PECh. 5.7 - Prob. 27PECh. 5.7 - Prob. 28PECh. 5.7 - Prob. 29PECh. 5.7 - Prob. 30PECh. 5.7 - For Exercises 27–48, divide the polynomials by...Ch. 5.7 - For Exercises 27–48, divide the polynomials by...Ch. 5.7 - For Exercises 27–48, divide the polynomials by...Ch. 5.7 - For Exercises 27–48, divide the polynomials by...Ch. 5.7 - Prob. 35PECh. 5.7 - Prob. 36PECh. 5.7 - Prob. 37PECh. 5.7 - Prob. 38PECh. 5.7 - Prob. 39PECh. 5.7 - Prob. 40PECh. 5.7 - Prob. 41PECh. 5.7 - Prob. 42PECh. 5.7 - For Exercises 27–48, divide the polynomials by...Ch. 5.7 - For Exercises 27–48, divide the polynomials by...Ch. 5.7 - For Exercises 27–48, divide the polynomials by...Ch. 5.7 - For Exercises 27–48, divide the polynomials by...Ch. 5.7 - For Exercises 27–48, divide the polynomials by...Ch. 5.7 - For Exercises 27–48, divide the polynomials by...Ch. 5.7 - Prob. 49PECh. 5.7 - Prob. 50PECh. 5.7 - Prob. 51PECh. 5.7 - Can synthetic division be used to divide ( 3 x 4 −...Ch. 5.7 - Prob. 53PECh. 5.7 - Prob. 54PECh. 5.7 - Prob. 55PECh. 5.7 - Prob. 56PECh. 5.7 - Prob. 57PECh. 5.7 - Prob. 58PECh. 5.7 - Prob. 59PECh. 5.7 - Prob. 60PECh. 5.7 - Prob. 61PECh. 5.7 - Prob. 62PECh. 5.7 - Prob. 63PECh. 5.7 - For Exercises 55–70, divide by using synthetic...Ch. 5.7 - Prob. 65PECh. 5.7 - For Exercises 55–70, divide by using synthetic...Ch. 5.7 - Prob. 67PECh. 5.7 - Prob. 68PECh. 5.7 - Prob. 69PECh. 5.7 - Prob. 70PECh. 5.7 - Prob. 71PECh. 5.7 - Prob. 72PECh. 5.7 - Prob. 73PECh. 5.7 - For Exercises 71-82, divide the polynomials by...Ch. 5.7 - For Exercises 71-82, divide the polynomials by...Ch. 5.7 - Prob. 76PECh. 5.7 - For Exercises 71-82, divide the polynomials by...Ch. 5.7 - Prob. 78PECh. 5.7 - Prob. 79PECh. 5.7 - Prob. 80PECh. 5.7 - Prob. 81PECh. 5.7 - For Exercises 71-82, divide the polynomials by...Ch. 5.7 - Prob. 1PRECh. 5.7 - Prob. 2PRECh. 5.7 - Prob. 3PRECh. 5.7 - For Exercises 1-40, perform the indicated...Ch. 5.7 - For Exercises 1-40, perform the indicated...Ch. 5.7 - For Exercises 1-40, perform the indicated...Ch. 5.7 - For Exercises 1-40, perform the indicated...Ch. 5.7 - For Exercises 1-40, perform the indicated...Ch. 5.7 - For Exercises 1-40, perform the indicated...Ch. 5.7 - For Exercises 1-40, perform the indicated...Ch. 5.7 - For Exercises 1-40, perform the indicated...Ch. 5.7 - Prob. 12PRECh. 5.7 - Prob. 13PRECh. 5.7 - Prob. 14PRECh. 5.7 - Prob. 15PRECh. 5.7 - Prob. 16PRECh. 5.7 - Prob. 17PRECh. 5.7 - Prob. 18PRECh. 5.7 - Prob. 19PRECh. 5.7 - Prob. 20PRECh. 5.7 - Prob. 21PRECh. 5.7 - Prob. 22PRECh. 5.7 - Prob. 23PRECh. 5.7 - Prob. 24PRECh. 5.7 - Prob. 25PRECh. 5.7 - Prob. 26PRECh. 5.7 - Prob. 27PRECh. 5.7 - Prob. 28PRECh. 5.7 - Prob. 29PRECh. 5.7 - Prob. 30PRECh. 5.7 - Prob. 31PRECh. 5.7 - Prob. 32PRECh. 5.7 - Prob. 33PRECh. 5.7 - For Exercises 1-40, perform the indicated...Ch. 5.7 - Prob. 35PRECh. 5.7 - Prob. 36PRECh. 5.7 - Prob. 37PRECh. 5.7 - Prob. 38PRECh. 5.7 - Prob. 39PRECh. 5.7 - Prob. 40PRECh. 5 - Estimated Time: 25–30 minutes Group Size: 2 Right...Ch. 5 - Prob. 1RECh. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - Evaluate the expressions. a. 6 2 b. ( − 6 ) 2 c. −...Ch. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - Prob. 13RECh. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - For Exercises 7-18, simplify and write the answers...Ch. 5 - Prob. 17RECh. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - For Exercises 21-22, use the formula 21. Find...Ch. 5 - For Exercises 21-22, use the formula A = P ( 1 + r...Ch. 5 - Prob. 23RECh. 5 - Prob. 24RECh. 5 - Prob. 25RECh. 5 - Prob. 26RECh. 5 - Prob. 27RECh. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - Prob. 31RECh. 5 - Prob. 32RECh. 5 - Prob. 33RECh. 5 - Prob. 34RECh. 5 - Prob. 35RECh. 5 - Prob. 36RECh. 5 - Prob. 37RECh. 5 - Prob. 38RECh. 5 - Prob. 39RECh. 5 - Prob. 40RECh. 5 - Prob. 41RECh. 5 - Prob. 42RECh. 5 - Prob. 43RECh. 5 - Prob. 44RECh. 5 - Prob. 45RECh. 5 - Prob. 46RECh. 5 - Prob. 47RECh. 5 - Prob. 48RECh. 5 - Prob. 49RECh. 5 - Prob. 50RECh. 5 - Prob. 51RECh. 5 - Prob. 52RECh. 5 - Prob. 53RECh. 5 - Prob. 54RECh. 5 - Prob. 55RECh. 5 - Prob. 56RECh. 5 - Prob. 57RECh. 5 - Prob. 58RECh. 5 - Prob. 59RECh. 5 - Prob. 60RECh. 5 - Prob. 61RECh. 5 - Prob. 62RECh. 5 - Prob. 63RECh. 5 - Prob. 64RECh. 5 - Prob. 65RECh. 5 - For Exercises 65-68, perform the indicated...Ch. 5 - Prob. 67RECh. 5 - For Exercises 65-68, perform the indicated...Ch. 5 - Prob. 69RECh. 5 - Prob. 70RECh. 5 - Prob. 71RECh. 5 - Prob. 72RECh. 5 - Prob. 73RECh. 5 - Prob. 74RECh. 5 - Prob. 75RECh. 5 - Prob. 76RECh. 5 - Prob. 77RECh. 5 - Prob. 78RECh. 5 - Prob. 79RECh. 5 - Prob. 80RECh. 5 - Prob. 81RECh. 5 - Prob. 82RECh. 5 - Prob. 83RECh. 5 - 84. Write a binomial of degree 5 with leading...Ch. 5 - 85. Find a polynomial that represents the...Ch. 5 - Prob. 86RECh. 5 - Prob. 87RECh. 5 - Prob. 88RECh. 5 - Prob. 89RECh. 5 - Prob. 90RECh. 5 - Prob. 91RECh. 5 - Prob. 92RECh. 5 - Prob. 93RECh. 5 - Prob. 94RECh. 5 - Prob. 95RECh. 5 - Prob. 96RECh. 5 - Prob. 97RECh. 5 - Prob. 98RECh. 5 - Prob. 99RECh. 5 - Prob. 100RECh. 5 - Prob. 101RECh. 5 - Prob. 102RECh. 5 - Prob. 103RECh. 5 - 104. Find the polynomial that represents the area...Ch. 5 - Prob. 105RECh. 5 - Prob. 106RECh. 5 - Prob. 107RECh. 5 - Prob. 108RECh. 5 - Prob. 109RECh. 5 - Prob. 110RECh. 5 - Prob. 111RECh. 5 - Prob. 112RECh. 5 - Prob. 113RECh. 5 - Prob. 114RECh. 5 - Prob. 115RECh. 5 - Prob. 116RECh. 5 - Prob. 117RECh. 5 - Prob. 1TCh. 5 - Prob. 2TCh. 5 - Prob. 3TCh. 5 - Prob. 4TCh. 5 - Prob. 5TCh. 5 - Prob. 6TCh. 5 - Prob. 7TCh. 5 - Prob. 8TCh. 5 - Prob. 9TCh. 5 - Prob. 10TCh. 5 - Prob. 11TCh. 5 - Prob. 12TCh. 5 - Prob. 13TCh. 5 - a. Write the number in scientific notation:...Ch. 5 - Prob. 15TCh. 5 - Divide: 60 , 000 0.008Ch. 5 - 17. The average amount of water flowing over...Ch. 5 - 18. Write the polynomial in descending order:...Ch. 5 - For Exercises 19-28, perform the indicated...Ch. 5 - For Exercises 19-28, perform the indicated...Ch. 5 - For Exercises 19-28, perform the indicated...Ch. 5 - For Exercises 19-28, perform the indicated...Ch. 5 - For Exercises 19-28, perform the indicated...Ch. 5 - For Exercises 19-28, perform the indicated...Ch. 5 - For Exercises 19-28, perform the indicated...Ch. 5 - For Exercises 19-28, perform the indicated...Ch. 5 - For Exercises 19-28, perform the indicated...Ch. 5 - For Exercises 19-28, perform the indicated...Ch. 5 - 29. Subtract from Ch. 5 - 30. Find the perimeter and the area of the...Ch. 5 - For Exercises 31-35, divide the polynomials. ( −...Ch. 5 - For Exercises 31-35, divide the polynomials. 16 a...Ch. 5 - For Exercises 31-35, divide the polynomials. 2 y 2...Ch. 5 - Prob. 34TCh. 5 - Prob. 35TCh. 5 - Prob. 1CRECh. 5 - Prob. 2CRECh. 5 - Prob. 3CRECh. 5 - Solve for by: x :       1 2 ( x − 6 ) + 2 3 = 1 4...Ch. 5 - Prob. 5CRECh. 5 - Prob. 6CRECh. 5 - Prob. 7CRECh. 5 - Prob. 8CRECh. 5 - Prob. 9CRECh. 5 - Prob. 10CRECh. 5 - Prob. 11CRECh. 5 - Prob. 12CRECh. 5 - Prob. 13CRECh. 5 - Prob. 14CRECh. 5 - Prob. 15CRECh. 5 - Prob. 16CRECh. 5 - For Exercises 16-17, divide the polynomials. 17. Ch. 5 - Prob. 18CRECh. 5 - Prob. 19CRECh. 5 - 20. Perform the indicated operations, and write...
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