High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Question
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Chapter 10.1, Problem 41PPE

a.

To determine

To determine the area of the larger square.

a.

Expert Solution
Check Mark

Answer to Problem 41PPE

  a2+b2+2ab

Explanation of Solution

Given information :

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 10.1, Problem 41PPE , additional homework tip  1

Area of the square is (side)2

Hence the side of the larger square is (a+b)

Area = (a+b)2=a2+b2+2ab

b.

To determine

To determine the area of smaller square.

b.

Expert Solution
Check Mark

Answer to Problem 41PPE

Area = c2

Explanation of Solution

Given information :

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 10.1, Problem 41PPE , additional homework tip  2

Area of the square is (side)2

Hence the side of the larger square is (c)

Area = c2

c.

To determine

To determine the area of each triangle.

c.

Expert Solution
Check Mark

Answer to Problem 41PPE

Area = 12(ab)

Explanation of Solution

Given information :

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 10.1, Problem 41PPE , additional homework tip  3

Area of the right angle triangle is 12×base×height

Hence the base and height of the given triangle is a and b

Area = 12(ab)

d.

To determine

To equate the area of the larger square to sum of the area of the smaller squares and the area of the four triangles.

d.

Expert Solution
Check Mark

Explanation of Solution

Given information :

  High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9, Chapter 10.1, Problem 41PPE , additional homework tip  4

We form equation according to the given condition in the question,

We get,

  (a2+b2+2ab)=c2+4(12(ab))

Now we solve the equation.

We know that in the equal 4 triangle c2=a2+b2

We put values and we get,

  (a2+b2+2ab)=a2+b2+2ab

Hence both sides are equal.

Hence we can determine that the area of larger square is equal to sum of the areas of 4 triangles and the smaller square.

Chapter 10 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 10.1 - Prob. 8PPECh. 10.1 - Prob. 9PPECh. 10.1 - Prob. 10PPECh. 10.1 - Prob. 11PPECh. 10.1 - Prob. 12PPECh. 10.1 - Prob. 13PPECh. 10.1 - Prob. 14PPECh. 10.1 - Prob. 15PPECh. 10.1 - Prob. 16PPECh. 10.1 - Prob. 17PPECh. 10.1 - Prob. 18PPECh. 10.1 - Prob. 19PPECh. 10.1 - Prob. 20PPECh. 10.1 - Prob. 21PPECh. 10.1 - Prob. 22PPECh. 10.1 - Prob. 23PPECh. 10.1 - Prob. 24PPECh. 10.1 - Prob. 25PPECh. 10.1 - Prob. 26PPECh. 10.1 - Prob. 27PPECh. 10.1 - Prob. 28PPECh. 10.1 - Prob. 29PPECh. 10.1 - Prob. 30PPECh. 10.1 - Prob. 31PPECh. 10.1 - Prob. 32PPECh. 10.1 - Prob. 33PPECh. 10.1 - Prob. 34PPECh. 10.1 - Prob. 35PPECh. 10.1 - Prob. 36PPECh. 10.1 - Prob. 37PPECh. 10.1 - Prob. 38PPECh. 10.1 - Prob. 39PPECh. 10.1 - Prob. 40PPECh. 10.1 - Prob. 41PPECh. 10.1 - Prob. 42PPECh. 10.1 - Prob. 1MPCh. 10.2 - Prob. 1PCh. 10.2 - Prob. 2PCh. 10.2 - Prob. 3PCh. 10.2 - Prob. 4PCh. 10.2 - Prob. 5PCh. 10.2 - Prob. 6PCh. 10.2 - Prob. 1LCCh. 10.2 - Prob. 2LCCh. 10.2 - Prob. 3LCCh. 10.2 - Prob. 4LCCh. 10.2 - Prob. 5LCCh. 10.2 - Prob. 6LCCh. 10.2 - Prob. 7LCCh. 10.2 - Prob. 8LCCh. 10.2 - Prob. 9LCCh. 10.2 - Prob. 10PPECh. 10.2 - Prob. 11PPECh. 10.2 - Prob. 12PPECh. 10.2 - Prob. 13PPECh. 10.2 - Prob. 14PPECh. 10.2 - Prob. 15PPECh. 10.2 - Prob. 16PPECh. 10.2 - Prob. 17PPECh. 10.2 - Prob. 18PPECh. 10.2 - Prob. 19PPECh. 10.2 - Prob. 20PPECh. 10.2 - Prob. 21PPECh. 10.2 - Prob. 22PPECh. 10.2 - Prob. 23PPECh. 10.2 - Prob. 24PPECh. 10.2 - Prob. 25PPECh. 10.2 - Prob. 26PPECh. 10.2 - Prob. 27PPECh. 10.2 - Prob. 28PPECh. 10.2 - Prob. 29PPECh. 10.2 - Prob. 30PPECh. 10.2 - Prob. 31PPECh. 10.2 - Prob. 32PPECh. 10.2 - Prob. 33PPECh. 10.2 - Prob. 34PPECh. 10.2 - Prob. 35PPECh. 10.2 - Prob. 36PPECh. 10.2 - Prob. 37PPECh. 10.2 - Prob. 38PPECh. 10.2 - Prob. 39PPECh. 10.2 - Prob. 40PPECh. 10.2 - Prob. 41PPECh. 10.2 - Prob. 42PPECh. 10.2 - Prob. 43PPECh. 10.2 - Prob. 44PPECh. 10.2 - Prob. 45PPECh. 10.2 - Prob. 46PPECh. 10.2 - Prob. 47PPECh. 10.2 - Prob. 48PPECh. 10.2 - Prob. 49PPECh. 10.2 - Prob. 50PPECh. 10.2 - Prob. 51PPECh. 10.2 - Prob. 52PPECh. 10.2 - Prob. 53PPECh. 10.2 - Prob. 54PPECh. 10.2 - Prob. 55PPECh. 10.2 - Prob. 56PPECh. 10.2 - Prob. 57PPECh. 10.2 - Prob. 58PPECh. 10.2 - Prob. 59PPECh. 10.2 - Prob. 60PPECh. 10.2 - Prob. 61PPECh. 10.2 - Prob. 62PPECh. 10.2 - Prob. 63PPECh. 10.2 - Prob. 64PPECh. 10.2 - Prob. 65PPECh. 10.2 - Prob. 66PPECh. 10.2 - Prob. 67PPECh. 10.2 - Prob. 68PPECh. 10.2 - Prob. 69PPECh. 10.2 - Prob. 70PPECh. 10.2 - Prob. 71PPECh. 10.2 - Prob. 72PPECh. 10.2 - Prob. 73PPECh. 10.2 - Prob. 74PPECh. 10.2 - Prob. 75PPECh. 10.2 - Prob. 76PPECh. 10.2 - Prob. 77PPECh. 10.2 - Prob. 78PPECh. 10.2 - Prob. 1MPCh. 10.3 - Prob. 1PCh. 10.3 - Prob. 2PCh. 10.3 - Prob. 3PCh. 10.3 - Prob. 4PCh. 10.3 - Prob. 5PCh. 10.3 - Prob. 1LCCh. 10.3 - Prob. 2LCCh. 10.3 - Prob. 3LCCh. 10.3 - Prob. 4LCCh. 10.3 - Prob. 5LCCh. 10.3 - Prob. 6LCCh. 10.3 - Prob. 7LCCh. 10.3 - Prob. 8LCCh. 10.3 - Prob. 9PPECh. 10.3 - Prob. 10PPECh. 10.3 - Prob. 11PPECh. 10.3 - Prob. 12PPECh. 10.3 - Prob. 13PPECh. 10.3 - Prob. 14PPECh. 10.3 - Prob. 15PPECh. 10.3 - Prob. 16PPECh. 10.3 - Prob. 17PPECh. 10.3 - Prob. 18PPECh. 10.3 - Prob. 19PPECh. 10.3 - Prob. 20PPECh. 10.3 - Prob. 21PPECh. 10.3 - Prob. 22PPECh. 10.3 - Prob. 23PPECh. 10.3 - Prob. 24PPECh. 10.3 - Prob. 25PPECh. 10.3 - Prob. 26PPECh. 10.3 - Prob. 27PPECh. 10.3 - Prob. 28PPECh. 10.3 - Prob. 29PPECh. 10.3 - Prob. 30PPECh. 10.3 - Prob. 31PPECh. 10.3 - Prob. 32PPECh. 10.3 - Prob. 33PPECh. 10.3 - Prob. 34PPECh. 10.3 - Prob. 35PPECh. 10.3 - Prob. 36PPECh. 10.3 - Prob. 37PPECh. 10.3 - Prob. 38PPECh. 10.3 - Prob. 39PPECh. 10.3 - Prob. 40PPECh. 10.3 - Prob. 41PPECh. 10.3 - Prob. 42PPECh. 10.3 - Prob. 43PPECh. 10.3 - Prob. 44PPECh. 10.3 - Prob. 45PPECh. 10.3 - Prob. 46PPECh. 10.3 - Prob. 47PPECh. 10.3 - Prob. 48PPECh. 10.3 - Prob. 49PPECh. 10.3 - Prob. 50PPECh. 10.3 - Prob. 51PPECh. 10.3 - Prob. 52PPECh. 10.3 - Prob. 53PPECh. 10.3 - Prob. 54PPECh. 10.3 - Prob. 55PPECh. 10.3 - Prob. 56PPECh. 10.3 - Prob. 57PPECh. 10.3 - Prob. 58PPECh. 10.3 - Prob. 59PPECh. 10.3 - Prob. 60PPECh. 10.3 - Prob. 61PPECh. 10.3 - Prob. 62PPECh. 10.3 - Prob. 63PPECh. 10.3 - Prob. 64STPCh. 10.3 - Prob. 65STPCh. 10.3 - Prob. 66STPCh. 10.3 - Prob. 67STPCh. 10.3 - Prob. 68MRCh. 10.3 - Prob. 69MRCh. 10.3 - Prob. 70MRCh. 10.3 - Prob. 71MRCh. 10.3 - Prob. 72MRCh. 10.3 - Prob. 73MRCh. 10.3 - Prob. 74MRCh. 10.3 - Prob. 75MRCh. 10.3 - Prob. 76MRCh. 10.3 - Prob. 77MRCh. 10.3 - Prob. 78MRCh. 10.3 - Prob. 79MRCh. 10.3 - Prob. 80MRCh. 10.3 - Prob. 81MRCh. 10.3 - Prob. 1MCQCh. 10.3 - Prob. 2MCQCh. 10.3 - Prob. 3MCQCh. 10.3 - Prob. 4MCQCh. 10.3 - Prob. 5MCQCh. 10.3 - Prob. 6MCQCh. 10.3 - Prob. 7MCQCh. 10.3 - Prob. 8MCQCh. 10.3 - Prob. 9MCQCh. 10.3 - Prob. 10MCQCh. 10.3 - Prob. 11MCQCh. 10.3 - Prob. 12MCQCh. 10.3 - Prob. 13MCQCh. 10.3 - Prob. 14MCQCh. 10.3 - Prob. 15MCQCh. 10.3 - Prob. 16MCQCh. 10.3 - Prob. 17MCQCh. 10.3 - Prob. 18MCQCh. 10.3 - Prob. 19MCQCh. 10.3 - Prob. 20MCQCh. 10.3 - Prob. 21MCQCh. 10.3 - Prob. 22MCQCh. 10.3 - Prob. 23MCQCh. 10.3 - Prob. 24MCQCh. 10.3 - Prob. 25MCQCh. 10.3 - Prob. 26MCQCh. 10.3 - Prob. 27MCQCh. 10.3 - Prob. 28MCQCh. 10.3 - Prob. 29MCQCh. 10.3 - Prob. 30MCQCh. 10.3 - Prob. 31MCQCh. 10.3 - Prob. 32MCQCh. 10.3 - Prob. 33MCQCh. 10.3 - Prob. 34MCQCh. 10.3 - Prob. 35MCQCh. 10.3 - Prob. 36MCQCh. 10.4 - Prob. 1PCh. 10.4 - Prob. 2PCh. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 1LCCh. 10.4 - Prob. 2LCCh. 10.4 - Prob. 3LCCh. 10.4 - Prob. 4LCCh. 10.4 - Prob. 5LCCh. 10.4 - Prob. 6LCCh. 10.4 - Prob. 7PPECh. 10.4 - Prob. 8PPECh. 10.4 - Prob. 9PPECh. 10.4 - Prob. 10PPECh. 10.4 - Prob. 11PPECh. 10.4 - Prob. 12PPECh. 10.4 - Prob. 13PPECh. 10.4 - Prob. 14PPECh. 10.4 - Prob. 15PPECh. 10.4 - Prob. 16PPECh. 10.4 - Prob. 17PPECh. 10.4 - Prob. 18PPECh. 10.4 - Prob. 19PPECh. 10.4 - Prob. 20PPECh. 10.4 - Prob. 21PPECh. 10.4 - Prob. 22PPECh. 10.4 - Prob. 23PPECh. 10.4 - Prob. 24PPECh. 10.4 - Prob. 25PPECh. 10.4 - Prob. 26PPECh. 10.4 - Prob. 27PPECh. 10.4 - Prob. 28PPECh. 10.4 - Prob. 29PPECh. 10.4 - Prob. 30PPECh. 10.4 - Prob. 31PPECh. 10.4 - Prob. 32PPECh. 10.4 - Prob. 33PPECh. 10.4 - Prob. 34PPECh. 10.4 - Prob. 35PPECh. 10.4 - Prob. 36PPECh. 10.4 - Prob. 37PPECh. 10.4 - Prob. 38PPECh. 10.4 - Prob. 39PPECh. 10.4 - Prob. 40PPECh. 10.4 - Prob. 41PPECh. 10.4 - Prob. 42PPECh. 10.4 - Prob. 43PPECh. 10.4 - Prob. 44PPECh. 10.4 - Prob. 45PPECh. 10.4 - Prob. 46PPECh. 10.4 - Prob. 47PPECh. 10.4 - Prob. 48PPECh. 10.4 - Prob. 49PPECh. 10.4 - Prob. 50PPECh. 10.4 - Prob. 51PPECh. 10.4 - Prob. 52PPECh. 10.4 - Prob. 53STPCh. 10.4 - Prob. 54STPCh. 10.4 - Prob. 55STPCh. 10.4 - Prob. 56STPCh. 10.4 - Prob. 57MRCh. 10.4 - Prob. 58MRCh. 10.4 - Prob. 59MRCh. 10.4 - Prob. 60MRCh. 10.4 - Prob. 61MRCh. 10.4 - Prob. 62MRCh. 10.4 - Prob. 63MRCh. 10.4 - Prob. 64MRCh. 10.4 - Prob. 65MRCh. 10.5 - Prob. 1PCh. 10.5 - Prob. 2PCh. 10.5 - Prob. 3PCh. 10.5 - Prob. 4PCh. 10.5 - Prob. 1LCCh. 10.5 - Prob. 2LCCh. 10.5 - Prob. 3LCCh. 10.5 - Prob. 4LCCh. 10.5 - Prob. 5LCCh. 10.5 - Prob. 6LCCh. 10.5 - Prob. 7PPECh. 10.5 - Prob. 8PPECh. 10.5 - Prob. 9PPECh. 10.5 - Prob. 10PPECh. 10.5 - Prob. 11PPECh. 10.5 - Prob. 12PPECh. 10.5 - Prob. 13PPECh. 10.5 - Prob. 14PPECh. 10.5 - Prob. 15PPECh. 10.5 - Prob. 16PPECh. 10.5 - Prob. 17PPECh. 10.5 - Prob. 18PPECh. 10.5 - Prob. 19PPECh. 10.5 - Prob. 20PPECh. 10.5 - Prob. 21PPECh. 10.5 - Prob. 22PPECh. 10.5 - Prob. 23PPECh. 10.5 - Prob. 24PPECh. 10.5 - Prob. 25PPECh. 10.5 - Prob. 26PPECh. 10.5 - Prob. 27PPECh. 10.5 - Prob. 28PPECh. 10.5 - Prob. 29PPECh. 10.5 - Prob. 30PPECh. 10.5 - Prob. 31PPECh. 10.5 - Prob. 32PPECh. 10.5 - Prob. 33PPECh. 10.5 - Prob. 34PPECh. 10.5 - Prob. 35PPECh. 10.5 - Prob. 36PPECh. 10.5 - Prob. 37PPECh. 10.5 - Prob. 38PPECh. 10.5 - Prob. 39PPECh. 10.5 - Prob. 40PPECh. 10.5 - Prob. 41PPECh. 10.5 - Prob. 42PPECh. 10.5 - Prob. 43PPECh. 10.5 - Prob. 44PPECh. 10.5 - Prob. 45PPECh. 10.5 - Prob. 46PPECh. 10.5 - Prob. 47PPECh. 10.5 - Prob. 48PPECh. 10.5 - Prob. 49PPECh. 10.5 - Prob. 50PPECh. 10.5 - Prob. 51PPECh. 10.5 - Prob. 52PPECh. 10.5 - Prob. 53PPECh. 10.5 - Prob. 54PPECh. 10.5 - Prob. 55PPECh. 10.5 - Prob. 56PPECh. 10.5 - Prob. 57PPECh. 10.5 - Prob. 58PPECh. 10.5 - Prob. 59PPECh. 10.5 - Prob. 60PPECh. 10.5 - Prob. 61PPECh. 10.5 - Prob. 62PPECh. 10.5 - Prob. 63PPECh. 10.5 - Prob. 1MPCh. 10.6 - Prob. 1PCh. 10.6 - Prob. 2PCh. 10.6 - Prob. 3PCh. 10.6 - Prob. 4PCh. 10.6 - Prob. 5PCh. 10.6 - Prob. 1LCCh. 10.6 - Prob. 2LCCh. 10.6 - Prob. 3LCCh. 10.6 - Prob. 4LCCh. 10.6 - Prob. 5LCCh. 10.6 - Prob. 6LCCh. 10.6 - Prob. 7LCCh. 10.6 - Prob. 8PPECh. 10.6 - Prob. 9PPECh. 10.6 - Prob. 10PPECh. 10.6 - Prob. 11PPECh. 10.6 - Prob. 12PPECh. 10.6 - Prob. 13PPECh. 10.6 - Prob. 14PPECh. 10.6 - Prob. 15PPECh. 10.6 - Prob. 16PPECh. 10.6 - Prob. 17PPECh. 10.6 - Prob. 18PPECh. 10.6 - Prob. 19PPECh. 10.6 - Prob. 20PPECh. 10.6 - Prob. 21PPECh. 10.6 - Prob. 22PPECh. 10.6 - Prob. 23PPECh. 10.6 - Prob. 24PPECh. 10.6 - Prob. 25PPECh. 10.6 - Prob. 26PPECh. 10.6 - Prob. 27PPECh. 10.6 - Prob. 28PPECh. 10.6 - Prob. 29PPECh. 10.6 - Prob. 30PPECh. 10.6 - Prob. 31PPECh. 10.6 - Prob. 32PPECh. 10.6 - Prob. 33PPECh. 10.6 - Prob. 34PPECh. 10.6 - Prob. 35PPECh. 10.6 - Prob. 36PPECh. 10.6 - Prob. 37PPECh. 10.6 - Prob. 38PPECh. 10.6 - Prob. 39PPECh. 10.6 - Prob. 40PPECh. 10.6 - Prob. 41PPECh. 10.6 - Prob. 42PPECh. 10.6 - Prob. 43PPECh. 10.6 - Prob. 44PPECh. 10.6 - Prob. 45PPECh. 10.6 - Prob. 46PPECh. 10.6 - Prob. 47PPECh. 10.6 - Prob. 48STPCh. 10.6 - Prob. 49STPCh. 10.6 - Prob. 50STPCh. 10.6 - Prob. 51STPCh. 10.6 - Prob. 52MRCh. 10.6 - Prob. 53MRCh. 10.6 - Prob. 54MRCh. 10.6 - Prob. 55MRCh. 10.6 - Prob. 56MRCh. 10.6 - Prob. 57MRCh. 10.6 - Prob. 58MRCh. 10.6 - Prob. 59MRCh. 10.6 - Prob. 60MRCh. 10.6 - Prob. 61MRCh. 10 - Prob. 1GRCh. 10 - Prob. 2GRCh. 10 - Prob. 3GRCh. 10 - Prob. 4GRCh. 10 - Prob. 5GRCh. 10 - Prob. 6GRCh. 10 - Prob. 7GRCh. 10 - Prob. 8GRCh. 10 - Prob. 9GRCh. 10 - Prob. 10GRCh. 10 - Prob. 11GRCh. 10 - Prob. 12GRCh. 10 - Prob. 13GRCh. 10 - Prob. 14GRCh. 10 - Prob. 15GRCh. 10 - Prob. 16GRCh. 10 - Prob. 17GRCh. 10 - Prob. 18GRCh. 10 - Prob. 19GRCh. 10 - Prob. 20GRCh. 10 - Prob. 21GRCh. 10 - Prob. 22GRCh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - 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Prob. 56CRCh. 10 - Prob. 57CRCh. 10 - Prob. 58CRCh. 10 - Prob. 59CRCh. 10 - Prob. 1CTCh. 10 - Prob. 2CTCh. 10 - Prob. 3CTCh. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - Prob. 8CTCh. 10 - Prob. 9CTCh. 10 - Prob. 10CTCh. 10 - Prob. 11CTCh. 10 - Prob. 12CTCh. 10 - Prob. 13CTCh. 10 - Prob. 14CTCh. 10 - Prob. 15CTCh. 10 - Prob. 16CTCh. 10 - Prob. 17CTCh. 10 - Prob. 18CTCh. 10 - Prob. 19CTCh. 10 - Prob. 20CTCh. 10 - Prob. 21CTCh. 10 - Prob. 22CTCh. 10 - Prob. 23CTCh. 10 - Prob. 24CTCh. 10 - Prob. 25CTCh. 10 - Prob. 26CTCh. 10 - Prob. 27CTCh. 10 - Prob. 28CTCh. 10 - Prob. 29CTCh. 10 - Prob. 30CTCh. 10 - Prob. 31CTCh. 10 - Prob. 32CTCh. 10 - Prob. 1CCSRCh. 10 - Prob. 2CCSRCh. 10 - Prob. 3CCSRCh. 10 - Prob. 4CCSRCh. 10 - Prob. 5CCSRCh. 10 - Prob. 6CCSRCh. 10 - Prob. 7CCSRCh. 10 - Prob. 8CCSRCh. 10 - Prob. 9CCSRCh. 10 - Prob. 10CCSRCh. 10 - Prob. 11CCSRCh. 10 - Prob. 12CCSRCh. 10 - Prob. 13CCSRCh. 10 - Prob. 14CCSRCh. 10 - Prob. 15CCSRCh. 10 - Prob. 16CCSRCh. 10 - Prob. 17CCSRCh. 10 - Prob. 18CCSRCh. 10 - Prob. 19CCSRCh. 10 - Prob. 20CCSRCh. 10 - Prob. 21CCSRCh. 10 - Prob. 22CCSRCh. 10 - Prob. 23CCSRCh. 10 - Prob. 24CCSRCh. 10 - Prob. 25CCSRCh. 10 - Prob. 26CCSRCh. 10 - Prob. 27CCSRCh. 10 - Prob. 28CCSR

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