Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 10.4, Problem 39PPS

(a)

To determine

To graph the ellipses with given equations on same graph.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given:

The given equations of ellipses are

  x281+y236=1 And x281+y29=1

Calculation:

The following is the graph of both ellipses on single graph

  Algebra 2, Chapter 10.4, Problem 39PPS

(b)

To determine

To describe the difference between two graphs.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given:

The given equations of ellipses are -

  x281+y236=1 And x281+y29=1

Calculation:

One ellipse is much flatter than the other. Both have the same major axis, but one has a much shorter minor axis.

(c)

To determine

To find the eccentricity of each ellipse.

(c)

Expert Solution
Check Mark

Answer to Problem 39PPS

  53 , 223

Explanation of Solution

Given:

The given equations of ellipses are -

  x281+y236=1 And x281+y29=1

Calculation:

The eccentricity is calculated by the following formula-

  cac1=a12b12=8136=45=±35a1=a2=81=±9c2=a22b22=819=72=±62

Therefore, the eccentricity for first graph is c1a1=359=53 .

And the eccentricity for second graph is c2a2=629=223 .

(d)

To determine

To make the conjecture about the eccentricity and shape of each ellipse.

(d)

Expert Solution
Check Mark

Explanation of Solution

Given:

The given equations of ellipses are -

  x281+y236=1 And x281+y29=1

Calculation:

As the eccentricity of an ellipse approaches zero, it approaches a circle. The larger the eccentricity, the more stretched the ellipse becomes, and the more it deviates from a pure circle in shape.

Chapter 10 Solutions

Algebra 2

Ch. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42HPCh. 10.1 - Prob. 43HPCh. 10.1 - Prob. 44HPCh. 10.1 - Prob. 45HPCh. 10.1 - Prob. 46HPCh. 10.1 - Prob. 47STPCh. 10.1 - Prob. 48STPCh. 10.1 - Prob. 49STPCh. 10.1 - Prob. 50STPCh. 10.1 - Prob. 51SRCh. 10.1 - Prob. 52SRCh. 10.1 - Prob. 53SRCh. 10.1 - Prob. 54SRCh. 10.1 - Prob. 55SRCh. 10.1 - Prob. 56SRCh. 10.1 - Prob. 57SRCh. 10.1 - Prob. 58SRCh. 10.1 - Prob. 59SRCh. 10.1 - Prob. 60SRCh. 10.1 - Prob. 61SRCh. 10.1 - Prob. 62SRCh. 10.1 - Prob. 63SRCh. 10.1 - Prob. 64SCh. 10.1 - Prob. 65SCh. 10.1 - Prob. 66SCh. 10.2 - Prob. 1CYPCh. 10.2 - Prob. 2ACYPCh. 10.2 - Prob. 2BCYPCh. 10.2 - Prob. 3ACYPCh. 10.2 - Prob. 3BCYPCh. 10.2 - Prob. 4ACYPCh. 10.2 - Prob. 4BCYPCh. 10.2 - Prob. 5CYPCh. 10.2 - Prob. 1CYUCh. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Prob. 4CYUCh. 10.2 - Prob. 5CYUCh. 10.2 - Prob. 6CYUCh. 10.2 - Prob. 7CYUCh. 10.2 - Prob. 8CYUCh. 10.2 - Prob. 9CYUCh. 10.2 - Prob. 10CYUCh. 10.2 - Prob. 11CYUCh. 10.2 - Prob. 12CYUCh. 10.2 - Prob. 13CYUCh. 10.2 - Prob. 14PPSCh. 10.2 - Prob. 15PPSCh. 10.2 - Prob. 16PPSCh. 10.2 - Prob. 17PPSCh. 10.2 - Prob. 18PPSCh. 10.2 - Prob. 19PPSCh. 10.2 - Prob. 20PPSCh. 10.2 - Prob. 21PPSCh. 10.2 - Prob. 22PPSCh. 10.2 - Prob. 23PPSCh. 10.2 - Prob. 24PPSCh. 10.2 - Prob. 25PPSCh. 10.2 - 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Prob. 6CYUCh. 10.3 - Prob. 7CYUCh. 10.3 - Prob. 8CYUCh. 10.3 - Prob. 9CYUCh. 10.3 - Prob. 10CYUCh. 10.3 - Prob. 11CYUCh. 10.3 - Prob. 12PPSCh. 10.3 - Prob. 13PPSCh. 10.3 - Prob. 14PPSCh. 10.3 - Prob. 15PPSCh. 10.3 - Prob. 16PPSCh. 10.3 - Prob. 17PPSCh. 10.3 - Prob. 18PPSCh. 10.3 - Prob. 19PPSCh. 10.3 - Prob. 20PPSCh. 10.3 - Prob. 21PPSCh. 10.3 - Prob. 22PPSCh. 10.3 - Prob. 23PPSCh. 10.3 - Prob. 24PPSCh. 10.3 - Prob. 25PPSCh. 10.3 - Prob. 26PPSCh. 10.3 - Prob. 27PPSCh. 10.3 - Prob. 28PPSCh. 10.3 - Prob. 29PPSCh. 10.3 - Prob. 30PPSCh. 10.3 - Prob. 31PPSCh. 10.3 - Prob. 32PPSCh. 10.3 - Prob. 33PPSCh. 10.3 - Prob. 34PPSCh. 10.3 - Prob. 35PPSCh. 10.3 - Prob. 36PPSCh. 10.3 - Prob. 37PPSCh. 10.3 - Prob. 38PPSCh. 10.3 - Prob. 39PPSCh. 10.3 - Prob. 40PPSCh. 10.3 - Prob. 41PPSCh. 10.3 - Prob. 42PPSCh. 10.3 - Prob. 43PPSCh. 10.3 - Prob. 44PPSCh. 10.3 - Prob. 45PPSCh. 10.3 - Prob. 46PPSCh. 10.3 - Prob. 47PPSCh. 10.3 - Prob. 48PPSCh. 10.3 - Prob. 49PPSCh. 10.3 - Prob. 50PPSCh. 10.3 - Prob. 51PPSCh. 10.3 - Prob. 52PPSCh. 10.3 - Prob. 53PPSCh. 10.3 - Prob. 54PPSCh. 10.3 - Prob. 55PPSCh. 10.3 - Prob. 56PPSCh. 10.3 - Prob. 57PPSCh. 10.3 - Prob. 58PPSCh. 10.3 - Prob. 59PPSCh. 10.3 - Prob. 60PPSCh. 10.3 - Prob. 61PPSCh. 10.3 - Prob. 62HPCh. 10.3 - Prob. 63HPCh. 10.3 - Prob. 64HPCh. 10.3 - Prob. 65HPCh. 10.3 - Prob. 66HPCh. 10.3 - Prob. 67HPCh. 10.3 - Prob. 68STPCh. 10.3 - Prob. 69STPCh. 10.3 - Prob. 70STPCh. 10.3 - Prob. 71STPCh. 10.3 - Prob. 72SRCh. 10.3 - Prob. 73SRCh. 10.3 - Prob. 74SRCh. 10.3 - Prob. 75SRCh. 10.3 - Prob. 76SRCh. 10.3 - Prob. 77SRCh. 10.3 - Prob. 78SRCh. 10.3 - Prob. 79SRCh. 10.3 - Prob. 80SRCh. 10.3 - Prob. 81SRCh. 10.3 - Prob. 82SRCh. 10.3 - Prob. 83SRCh. 10.3 - Prob. 84SRCh. 10.3 - Prob. 85SRCh. 10.3 - Prob. 86SCh. 10.3 - Prob. 87SCh. 10.3 - Prob. 88SCh. 10.4 - Prob. 1CYPCh. 10.4 - Prob. 2CYPCh. 10.4 - Prob. 3CYPCh. 10.4 - Prob. 4CYPCh. 10.4 - Prob. 1CYUCh. 10.4 - Prob. 2CYUCh. 10.4 - Prob. 3CYUCh. 10.4 - Prob. 4CYUCh. 10.4 - Prob. 5CYUCh. 10.4 - Prob. 6CYUCh. 10.4 - Prob. 7CYUCh. 10.4 - Prob. 8CYUCh. 10.4 - Prob. 9CYUCh. 10.4 - Prob. 10CYUCh. 10.4 - Prob. 11PPSCh. 10.4 - Prob. 12PPSCh. 10.4 - Prob. 13PPSCh. 10.4 - Prob. 14PPSCh. 10.4 - Prob. 15PPSCh. 10.4 - Prob. 16PPSCh. 10.4 - Prob. 17PPSCh. 10.4 - Prob. 18PPSCh. 10.4 - Prob. 19PPSCh. 10.4 - Prob. 20PPSCh. 10.4 - Prob. 21PPSCh. 10.4 - Prob. 22PPSCh. 10.4 - Prob. 23PPSCh. 10.4 - Prob. 24PPSCh. 10.4 - Prob. 25PPSCh. 10.4 - Prob. 26PPSCh. 10.4 - Prob. 27PPSCh. 10.4 - Prob. 28PPSCh. 10.4 - Prob. 29PPSCh. 10.4 - Prob. 30PPSCh. 10.4 - Prob. 31PPSCh. 10.4 - Prob. 32PPSCh. 10.4 - Prob. 33PPSCh. 10.4 - Prob. 34PPSCh. 10.4 - Prob. 35PPSCh. 10.4 - Prob. 36PPSCh. 10.4 - Prob. 37PPSCh. 10.4 - Prob. 38PPSCh. 10.4 - Prob. 39PPSCh. 10.4 - Prob. 40HPCh. 10.4 - Prob. 41HPCh. 10.4 - Prob. 42HPCh. 10.4 - Prob. 43HPCh. 10.4 - Prob. 44HPCh. 10.4 - Prob. 45HPCh. 10.4 - Prob. 46HPCh. 10.4 - Prob. 47STPCh. 10.4 - Prob. 48STPCh. 10.4 - Prob. 49STPCh. 10.4 - Prob. 50STPCh. 10.4 - Prob. 51SRCh. 10.4 - Prob. 52SRCh. 10.4 - Prob. 53SRCh. 10.4 - Prob. 54SRCh. 10.4 - Prob. 55SRCh. 10.4 - Prob. 56SRCh. 10.4 - Prob. 57SRCh. 10.4 - Prob. 58SRCh. 10.4 - Prob. 59SRCh. 10.4 - Prob. 60SRCh. 10.4 - Prob. 61SRCh. 10.4 - Prob. 62SRCh. 10.4 - Prob. 63SRCh. 10.4 - Prob. 64SRCh. 10.4 - Prob. 65SCh. 10.4 - Prob. 66SCh. 10.4 - Prob. 67SCh. 10.4 - Prob. 1MCQCh. 10.4 - Prob. 2MCQCh. 10.4 - Prob. 3MCQCh. 10.4 - Prob. 4MCQCh. 10.4 - Prob. 5MCQCh. 10.4 - Prob. 6MCQCh. 10.4 - Prob. 7MCQCh. 10.4 - Prob. 8MCQCh. 10.4 - Prob. 9MCQCh. 10.4 - Prob. 10MCQCh. 10.4 - Prob. 11MCQCh. 10.4 - Prob. 12MCQCh. 10.4 - Prob. 13MCQCh. 10.4 - Prob. 14MCQCh. 10.4 - Prob. 15MCQCh. 10.4 - Prob. 16MCQCh. 10.4 - Prob. 17MCQCh. 10.4 - Prob. 18MCQCh. 10.4 - Prob. 19MCQCh. 10.4 - Prob. 20MCQCh. 10.5 - Prob. 1CYPCh. 10.5 - Prob. 2CYPCh. 10.5 - Prob. 3CYPCh. 10.5 - Prob. 4CYPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7CYUCh. 10.5 - Prob. 8CYUCh. 10.5 - Prob. 9CYUCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22PPSCh. 10.5 - Prob. 23PPSCh. 10.5 - Prob. 24PPSCh. 10.5 - Prob. 25PPSCh. 10.5 - Prob. 26PPSCh. 10.5 - Prob. 27PPSCh. 10.5 - Prob. 28PPSCh. 10.5 - Prob. 29PPSCh. 10.5 - Prob. 30PPSCh. 10.5 - Prob. 31PPSCh. 10.5 - Prob. 32PPSCh. 10.5 - Prob. 33PPSCh. 10.5 - Prob. 34PPSCh. 10.5 - Prob. 35PPSCh. 10.5 - Prob. 36PPSCh. 10.5 - Prob. 37PPSCh. 10.5 - Prob. 38PPSCh. 10.5 - Prob. 39PPSCh. 10.5 - Prob. 40PPSCh. 10.5 - Prob. 41PPSCh. 10.5 - Prob. 42PPSCh. 10.5 - Prob. 43PPSCh. 10.5 - Prob. 44HPCh. 10.5 - Prob. 45HPCh. 10.5 - Prob. 46HPCh. 10.5 - Prob. 47HPCh. 10.5 - Prob. 48HPCh. 10.5 - Prob. 49HPCh. 10.5 - Prob. 50STPCh. 10.5 - Prob. 51STPCh. 10.5 - Prob. 52STPCh. 10.5 - Prob. 53STPCh. 10.5 - Prob. 54SRCh. 10.5 - Prob. 55SRCh. 10.5 - Prob. 56SRCh. 10.5 - Prob. 57SRCh. 10.5 - Prob. 58SRCh. 10.5 - Prob. 59SRCh. 10.5 - Prob. 60SRCh. 10.5 - Prob. 61SRCh. 10.5 - Prob. 62SRCh. 10.5 - Prob. 63SRCh. 10.5 - Prob. 64SRCh. 10.5 - Prob. 65SRCh. 10.5 - Prob. 66SCh. 10.5 - Prob. 67SCh. 10.6 - Prob. 1CYPCh. 10.6 - Prob. 2ACYPCh. 10.6 - Prob. 2BCYPCh. 10.6 - Prob. 2CCYPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8CYUCh. 10.6 - Prob. 9CYUCh. 10.6 - Prob. 10CYUCh. 10.6 - Prob. 11CYUCh. 10.6 - Prob. 12CYUCh. 10.6 - Prob. 13CYUCh. 10.6 - Prob. 14PPSCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23PPSCh. 10.6 - Prob. 24PPSCh. 10.6 - Prob. 25PPSCh. 10.6 - Prob. 26PPSCh. 10.6 - Prob. 27PPSCh. 10.6 - Prob. 28PPSCh. 10.6 - Prob. 29PPSCh. 10.6 - Prob. 30PPSCh. 10.6 - Prob. 31PPSCh. 10.6 - Prob. 32PPSCh. 10.6 - Prob. 33PPSCh. 10.6 - Prob. 34PPSCh. 10.6 - Prob. 35PPSCh. 10.6 - Prob. 36PPSCh. 10.6 - Prob. 37PPSCh. 10.6 - Prob. 38PPSCh. 10.6 - Prob. 39PPSCh. 10.6 - Prob. 40PPSCh. 10.6 - Prob. 41PPSCh. 10.6 - Prob. 42PPSCh. 10.6 - Prob. 43PPSCh. 10.6 - Prob. 44HPCh. 10.6 - Prob. 45HPCh. 10.6 - Prob. 46HPCh. 10.6 - Prob. 47HPCh. 10.6 - Prob. 48STPCh. 10.6 - Prob. 49STPCh. 10.6 - Prob. 50STPCh. 10.6 - Prob. 51STPCh. 10.6 - Prob. 52SRCh. 10.6 - Prob. 53SRCh. 10.6 - Prob. 54SRCh. 10.6 - Prob. 55SRCh. 10.6 - Prob. 56SRCh. 10.6 - Prob. 57SRCh. 10.6 - Prob. 58SRCh. 10.6 - Prob. 59SRCh. 10.6 - Prob. 60SCh. 10.6 - Prob. 61SCh. 10.6 - Prob. 62SCh. 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. 10.6 - Prob. 9ECh. 10.6 - Prob. 10ECh. 10.7 - Prob. 1ACYPCh. 10.7 - Prob. 1BCYPCh. 10.7 - Prob. 2ACYPCh. 10.7 - Prob. 2BCYPCh. 10.7 - Prob. 3ACYPCh. 10.7 - Prob. 3BCYPCh. 10.7 - Prob. 4ACYPCh. 10.7 - Prob. 4BCYPCh. 10.7 - 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What is Ellipse?; Author: Don't Memorise;https://www.youtube.com/watch?v=nzwCInIMlU4;License: Standard YouTube License, CC-BY