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 55PPSE
Solution

To Explain: How to find the distance from the focus to the directrix of the given parabola.

It has been determined that the distance from the focus to the directrix of the given parabola, is 14 units.

Given:

The parabola, x=2y2 .

Concept used:

The parabola whose equation is of the form, x=14cy2 has its vertex at the origin, focus at c,0 and directrix x=−c .

Calculation:

As discussed, the parabola whose equation is of the form, x=14cy2 has its vertex at the origin, focus at c,0 and directrix x=−c .

Note that, the directrix x=−c is a vertical line and so, it is perpendicular to the x axis, on which the focus, c,0 lies.

The intersection of the directrix x=−c and the x axis, is the point −c,0 .

So, the foot of the perpendicular, drawn from the focus, c,0 to the directrix x=−c , is the point −c,0 .

Then, the distance from the focus to the directrix is the distance between the points c,0 and −c,0 , which is nothing but 2c .

Now, the given parabola is x=2y2 .

Simplifying,

  x=1418y2

Comparing the given parabola; x=1418y2 with x=14cy2 , it follows that c=18 .

Then, 2c=14 .

Thus, the distance from the focus to the directrix of the given parabola, is 14 units.

Conclusion:

It has been determined that the distance from the focus to the directrix of the given parabola, is 14 units.

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Chapter 10.2, Problem 54PPSE
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Chapter 10.2, Problem 56PPSE

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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