High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
Expert Solution & Answer
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Chapter 10.2, Problem 23PPSE
Solution

A model of the cross section of the reflector by writing an equation of a parabola that opens upward and has its vertex at the origin; and an advantage of this parabolic design.

It has been determined that the required parabolic model of the cross section of the reflector is y=x2 . An advantage of this parabolic design has been provided.

Given:

A cross section of a flashlight reflector is a parabola. The bulb is located at the focus. The bulb is located 14 in. from the vertex of the reflector.

Concept used:

The equation of the parabola with vertex at 0,0 and focus at 0,c is y=14cx2 .

Calculation:

It is given that a cross section of a flashlight reflector is a parabola such that the bulb is located at the focus.

It is also given that the bulb is located 14 in. from the vertex of the reflector.

Since the bulb is located at the focus, it follows that the focus is located 14 in. from the vertex of the reflector.

Now, the model of the parabola opens upward and has its vertex at the origin.

Then, the focus of the parabola must lie on the positive y axis.

Since the focus is located 14 in. from the vertex of the reflector, which is at the origin, it follows that the focus must be at 0,14 .

Comparing the given focus; 0,14 with 0,c , it follows that c=14 .

Put c=14 in y=14cx2 to get,

  y=1414x2

Simplifying,

  y=x2

This is the required parabolic model of the cross section of the reflector.

An advantage of this parabolic design is that the focus of the parabola can be interpreted realistically as the point through which parallel rays of light, parallel to the axis of symmetry, are reflected.

Conclusion:

It has been determined that the required parabolic model of the cross section of the reflector is y=x2 . An advantage of this parabolic design has been provided.

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Chapter 10.2, Problem 22PPSE
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Chapter 10.2, Problem 24PPSE

Chapter 10 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 10.1 - Prob. 1LCCh. 10.1 - Prob. 2LCCh. 10.1 - Prob. 3LCCh. 10.1 - Prob. 4LCCh. 10.1 - Prob. 5LCCh. 10.1 - Prob. 6LCCh. 10.1 - Prob. 7PPSECh. 10.1 - Prob. 8PPSECh. 10.1 - Prob. 9PPSECh. 10.1 - Prob. 10PPSE
Ch. 10.1 - Prob. 11PPSECh. 10.1 - Prob. 12PPSECh. 10.1 - Prob. 13PPSECh. 10.1 - Prob. 14PPSECh. 10.1 - Prob. 15PPSECh. 10.1 - Prob. 16PPSECh. 10.1 - Prob. 17PPSECh. 10.1 - Prob. 18PPSECh. 10.1 - Prob. 19PPSECh. 10.1 - Prob. 20PPSECh. 10.1 - Prob. 21PPSECh. 10.1 - Prob. 22PPSECh. 10.1 - Prob. 23PPSECh. 10.1 - Prob. 24PPSECh. 10.1 - Prob. 25PPSECh. 10.1 - Prob. 26PPSECh. 10.1 - Prob. 27PPSECh. 10.1 - Prob. 28PPSECh. 10.1 - Prob. 29PPSECh. 10.1 - Prob. 30PPSECh. 10.1 - Prob. 31PPSECh. 10.1 - Prob. 32PPSECh. 10.1 - Prob. 33PPSECh. 10.1 - Prob. 34PPSECh. 10.1 - Prob. 35PPSECh. 10.1 - Prob. 36PPSECh. 10.1 - Prob. 37PPSECh. 10.1 - Prob. 38PPSECh. 10.1 - Prob. 39PPSECh. 10.1 - Prob. 40PPSECh. 10.1 - Prob. 41PPSECh. 10.1 - Prob. 42PPSECh. 10.1 - Prob. 43PPSECh. 10.1 - Prob. 44PPSECh. 10.1 - Prob. 45PPSECh. 10.1 - Prob. 46PPSECh. 10.1 - Prob. 47PPSECh. 10.1 - Prob. 48PPSECh. 10.1 - Prob. 49PPSECh. 10.1 - Prob. 50PPSECh. 10.1 - Prob. 51PPSECh. 10.1 - Prob. 52PPSECh. 10.1 - Prob. 53PPSECh. 10.1 - Prob. 54PPSECh. 10.1 - Prob. 55PPSECh. 10.1 - Prob. 56PPSECh. 10.1 - Prob. 57PPSECh. 10.1 - Prob. 58PPSECh. 10.1 - Prob. 59PPSECh. 10.1 - Prob. 60PPSECh. 10.1 - Prob. 61PPSECh. 10.1 - Prob. 62PPSECh. 10.1 - Prob. 63PPSECh. 10.1 - Prob. 64PPSECh. 10.1 - Prob. 65PPSECh. 10.1 - Prob. 66PPSECh. 10.1 - Prob. 67PPSECh. 10.1 - Prob. 68PPSECh. 10.1 - Prob. 69PPSECh. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 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. 7PPSECh. 10.2 - Prob. 8PPSECh. 10.2 - Prob. 9PPSECh. 10.2 - Prob. 10PPSECh. 10.2 - Prob. 11PPSECh. 10.2 - Prob. 12PPSECh. 10.2 - Prob. 13PPSECh. 10.2 - Prob. 14PPSECh. 10.2 - Prob. 15PPSECh. 10.2 - Prob. 16PPSECh. 10.2 - Prob. 17PPSECh. 10.2 - Prob. 18PPSECh. 10.2 - Prob. 19PPSECh. 10.2 - Prob. 20PPSECh. 10.2 - Prob. 21PPSECh. 10.2 - Prob. 22PPSECh. 10.2 - Prob. 23PPSECh. 10.2 - Prob. 24PPSECh. 10.2 - Prob. 25PPSECh. 10.2 - Prob. 26PPSECh. 10.2 - Prob. 27PPSECh. 10.2 - Prob. 28PPSECh. 10.2 - Prob. 29PPSECh. 10.2 - Prob. 30PPSECh. 10.2 - Prob. 31PPSECh. 10.2 - Prob. 32PPSECh. 10.2 - Prob. 33PPSECh. 10.2 - Prob. 34PPSECh. 10.2 - Prob. 35PPSECh. 10.2 - Prob. 36PPSECh. 10.2 - Prob. 37PPSECh. 10.2 - Prob. 38PPSECh. 10.2 - Prob. 39PPSECh. 10.2 - Prob. 40PPSECh. 10.2 - Prob. 41PPSECh. 10.2 - Prob. 42PPSECh. 10.2 - Prob. 43PPSECh. 10.2 - Prob. 44PPSECh. 10.2 - Prob. 45PPSECh. 10.2 - Prob. 46PPSECh. 10.2 - Prob. 47PPSECh. 10.2 - Prob. 48PPSECh. 10.2 - Prob. 49PPSECh. 10.2 - Prob. 50PPSECh. 10.2 - Prob. 51PPSECh. 10.2 - Prob. 52PPSECh. 10.2 - Prob. 53PPSECh. 10.2 - Prob. 54PPSECh. 10.2 - Prob. 55PPSECh. 10.2 - Prob. 56PPSECh. 10.2 - Prob. 57PPSECh. 10.2 - Prob. 58PPSECh. 10.2 - Prob. 59PPSECh. 10.2 - Prob. 60PPSECh. 10.2 - Prob. 61PPSECh. 10.2 - Prob. 62PPSECh. 10.2 - Prob. 63PPSECh. 10.2 - Prob. 64PPSECh. 10.2 - Prob. 65PPSECh. 10.2 - Prob. 66PPSECh. 10.2 - Prob. 67PPSECh. 10.2 - Prob. 68PPSECh. 10.2 - Prob. 69PPSECh. 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. 7PPSECh. 10.3 - Prob. 8PPSECh. 10.3 - Prob. 9PPSECh. 10.3 - Prob. 10PPSECh. 10.3 - Prob. 11PPSECh. 10.3 - Prob. 12PPSECh. 10.3 - Prob. 13PPSECh. 10.3 - Prob. 14PPSECh. 10.3 - Prob. 15PPSECh. 10.3 - Prob. 16PPSECh. 10.3 - Prob. 17PPSECh. 10.3 - Prob. 18PPSECh. 10.3 - Prob. 19PPSECh. 10.3 - Prob. 20PPSECh. 10.3 - Prob. 21PPSECh. 10.3 - Prob. 22PPSECh. 10.3 - Prob. 23PPSECh. 10.3 - Prob. 24PPSECh. 10.3 - Prob. 25PPSECh. 10.3 - Prob. 26PPSECh. 10.3 - Prob. 27PPSECh. 10.3 - Prob. 28PPSECh. 10.3 - Prob. 29PPSECh. 10.3 - Prob. 30PPSECh. 10.3 - Prob. 31PPSECh. 10.3 - Prob. 32PPSECh. 10.3 - Prob. 33PPSECh. 10.3 - Prob. 34PPSECh. 10.3 - Prob. 35PPSECh. 10.3 - Prob. 36PPSECh. 10.3 - Prob. 37PPSECh. 10.3 - Prob. 38PPSECh. 10.3 - Prob. 39PPSECh. 10.3 - Prob. 40PPSECh. 10.3 - Prob. 41PPSECh. 10.3 - Prob. 42PPSECh. 10.3 - Prob. 43PPSECh. 10.3 - Prob. 44PPSECh. 10.3 - Prob. 45PPSECh. 10.3 - Prob. 46PPSECh. 10.3 - Prob. 47PPSECh. 10.3 - Prob. 48PPSECh. 10.3 - Prob. 49PPSECh. 10.3 - Prob. 50PPSECh. 10.3 - Prob. 51PPSECh. 10.3 - Prob. 52PPSECh. 10.3 - Prob. 53PPSECh. 10.3 - Prob. 54PPSECh. 10.3 - Prob. 55PPSECh. 10.3 - Prob. 56PPSECh. 10.3 - Prob. 57PPSECh. 10.3 - Prob. 58PPSECh. 10.3 - Prob. 59PPSECh. 10.3 - Prob. 60PPSECh. 10.3 - Prob. 61PPSECh. 10.3 - Prob. 62PPSECh. 10.3 - Prob. 63PPSECh. 10.3 - Prob. 64PPSECh. 10.3 - Prob. 65PPSECh. 10.3 - Prob. 66PPSECh. 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. 7PPSECh. 10.4 - Prob. 8PPSECh. 10.4 - Prob. 9PPSECh. 10.4 - Prob. 10PPSECh. 10.4 - Prob. 11PPSECh. 10.4 - Prob. 12PPSECh. 10.4 - Prob. 13PPSECh. 10.4 - Prob. 14PPSECh. 10.4 - Prob. 15PPSECh. 10.4 - Prob. 16PPSECh. 10.4 - Prob. 17PPSECh. 10.4 - Prob. 18PPSECh. 10.4 - Prob. 19PPSECh. 10.4 - Prob. 20PPSECh. 10.4 - Prob. 21PPSECh. 10.4 - Prob. 22PPSECh. 10.4 - Prob. 23PPSECh. 10.4 - Prob. 24PPSECh. 10.4 - Prob. 25PPSECh. 10.4 - Prob. 26PPSECh. 10.4 - Prob. 27PPSECh. 10.4 - Prob. 28PPSECh. 10.4 - Prob. 29PPSECh. 10.4 - Prob. 30PPSECh. 10.4 - Prob. 31PPSECh. 10.4 - Prob. 32PPSECh. 10.4 - Prob. 33PPSECh. 10.4 - Prob. 34PPSECh. 10.4 - Prob. 36PPSECh. 10.4 - Prob. 37PPSECh. 10.4 - Prob. 38PPSECh. 10.4 - Prob. 39PPSECh. 10.4 - Prob. 40PPSECh. 10.4 - Prob. 41PPSECh. 10.4 - Prob. 44PPSECh. 10.4 - Prob. 45PPSECh. 10.4 - Prob. 46PPSECh. 10.4 - Prob. 48PPSECh. 10.4 - Prob. 49PPSECh. 10.4 - Prob. 50PPSECh. 10.4 - Prob. 51PPSECh. 10.4 - Prob. 52PPSECh. 10.4 - Prob. 53PPSECh. 10.4 - Prob. 54PPSECh. 10.4 - Prob. 55PPSECh. 10.4 - Prob. 56PPSECh. 10.4 - Prob. 57PPSECh. 10.4 - Prob. 58PPSECh. 10.4 - Prob. 59PPSECh. 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. 7LCCh. 10.5 - Prob. 8PPSECh. 10.5 - Prob. 9PPSECh. 10.5 - Prob. 10PPSECh. 10.5 - Prob. 11PPSECh. 10.5 - Prob. 12PPSECh. 10.5 - Prob. 13PPSECh. 10.5 - Prob. 14PPSECh. 10.5 - Prob. 15PPSECh. 10.5 - Prob. 16PPSECh. 10.5 - Prob. 17PPSECh. 10.5 - Prob. 18PPSECh. 10.5 - Prob. 19PPSECh. 10.5 - Prob. 20PPSECh. 10.5 - Prob. 21PPSECh. 10.5 - Prob. 22PPSECh. 10.5 - Prob. 23PPSECh. 10.5 - Prob. 24PPSECh. 10.5 - Prob. 25PPSECh. 10.5 - Prob. 26PPSECh. 10.5 - Prob. 27PPSECh. 10.5 - Prob. 28PPSECh. 10.5 - Prob. 29PPSECh. 10.5 - Prob. 30PPSECh. 10.5 - Prob. 31PPSECh. 10.5 - Prob. 32PPSECh. 10.5 - Prob. 33PPSECh. 10.5 - Prob. 34PPSECh. 10.5 - Prob. 35PPSECh. 10.5 - Prob. 36PPSECh. 10.5 - Prob. 37PPSECh. 10.5 - Prob. 38PPSECh. 10.5 - Prob. 39PPSECh. 10.5 - Prob. 40PPSECh. 10.5 - Prob. 41PPSECh. 10.5 - Prob. 42PPSECh. 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. 8PPSECh. 10.6 - Prob. 9PPSECh. 10.6 - Prob. 10PPSECh. 10.6 - Prob. 11PPSECh. 10.6 - Prob. 12PPSECh. 10.6 - Prob. 13PPSECh. 10.6 - Prob. 14PPSECh. 10.6 - Prob. 15PPSECh. 10.6 - Prob. 16PPSECh. 10.6 - Prob. 17PPSECh. 10.6 - Prob. 18PPSECh. 10.6 - Prob. 19PPSECh. 10.6 - Prob. 20PPSECh. 10.6 - Prob. 21PPSECh. 10.6 - Prob. 22PPSECh. 10.6 - Prob. 23PPSECh. 10.6 - Prob. 24PPSECh. 10.6 - Prob. 25PPSECh. 10.6 - Prob. 26PPSECh. 10.6 - Prob. 27PPSECh. 10.6 - Prob. 28PPSECh. 10.6 - Prob. 29PPSECh. 10.6 - Prob. 30PPSECh. 10.6 - Prob. 31PPSECh. 10.6 - Prob. 32PPSECh. 10.6 - Prob. 33PPSECh. 10.6 - Prob. 34PPSECh. 10.6 - Prob. 35PPSECh. 10.6 - Prob. 36PPSECh. 10.6 - Prob. 37PPSECh. 10.6 - Prob. 38PPSECh. 10.6 - Prob. 39PPSECh. 10.6 - Prob. 40PPSECh. 10.6 - Prob. 41PPSECh. 10.6 - Prob. 42PPSECh. 10.6 - Prob. 43PPSECh. 10.6 - Prob. 44PPSECh. 10.6 - Prob. 45PPSECh. 10.6 - Prob. 46PPSECh. 10.6 - Prob. 47PPSECh. 10.6 - Prob. 48PPSECh. 10.6 - Prob. 49PPSECh. 10.6 - Prob. 50PPSECh. 10.6 - Prob. 51PPSECh. 10.6 - Prob. 52PPSECh. 10.6 - Prob. 53PPSECh. 10.6 - Prob. 1ECh. 10.6 - Prob. 2ECh. 10.6 - Prob. 3ECh. 10.6 - Prob. 4ECh. 10.6 - Prob. 5ECh. 10.6 - Prob. 6ECh. 10.6 - Prob. 7ECh. 10.6 - Prob. 8ECh. 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. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 5MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - Prob. 9MCQCh. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 12MCQCh. 10 - Prob. 13MCQCh. 10 - Prob. 14MCQCh. 10 - Prob. 15MCQCh. 10 - Prob. 16MCQCh. 10 - Prob. 17MCQCh. 10 - Prob. 18MCQCh. 10 - Prob. 19MCQCh. 10 - Prob. 20MCQCh. 10 - Prob. 21MCQCh. 10 - Prob. 22MCQCh. 10 - Prob. 23MCQCh. 10 - Prob. 24MCQCh. 10 - Prob. 25MCQCh. 10 - Prob. 26MCQCh. 10 - Prob. 27MCQCh. 10 - Prob. 1CVCh. 10 - Prob. 2CVCh. 10 - Prob. 3CVCh. 10 - Prob. 4CVCh. 10 - Prob. 5CVCh. 10 - Prob. 6ECh. 10 - Prob. 7ECh. 10 - Prob. 8ECh. 10 - Prob. 9ECh. 10 - Prob. 10ECh. 10 - Prob. 11ECh. 10 - Prob. 12ECh. 10 - Prob. 13ECh. 10 - Prob. 14ECh. 10 - Prob. 15ECh. 10 - Prob. 16ECh. 10 - Prob. 17ECh. 10 - Prob. 18ECh. 10 - Prob. 19ECh. 10 - Prob. 20ECh. 10 - Prob. 21ECh. 10 - Prob. 22ECh. 10 - Prob. 23ECh. 10 - Prob. 24ECh. 10 - Prob. 25ECh. 10 - Prob. 26ECh. 10 - Prob. 27ECh. 10 - Prob. 28ECh. 10 - Prob. 29ECh. 10 - Prob. 30ECh. 10 - Prob. 31ECh. 10 - Prob. 32ECh. 10 - Prob. 33ECh. 10 - Prob. 34ECh. 10 - Prob. 35ECh. 10 - Prob. 36ECh. 10 - Prob. 37ECh. 10 - Prob. 38ECh. 10 - Prob. 39ECh. 10 - Prob. 40ECh. 10 - Prob. 41ECh. 10 - Prob. 42ECh. 10 - Prob. 43ECh. 10 - Prob. 44ECh. 10 - Prob. 45ECh. 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. 26CCSR
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