Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 10.5, Problem 47HP
To determine

To Explain: The location of the foci of hyperbola when one axis tends smaller to other.

Expert Solution & Answer
Check Mark

Answer to Problem 47HP

Foci will move towards vertices.

Explanation of Solution

Given:

  y236x216=1Change of 369

Formula Used:

  (yk)2a2(xh)2b2=1y2a2x2b2=1y=±ba(xh)+ke=a2+b2al=2b2aVertices:(ha,k) & (h+a,k)Foci:(h,kc) & (h,k+c)

  y236x216=1Change of 369(h,k)=(0,0)a2=36b2=16c2=a2+b2=52(ha,k)=(6,0)(h+a,k)=(6,0)(h,kc)=(0,313)(h,k+c)=(0,213)Now,a=369c2=16+9=25(ha,k)=(3,0)(h+a,k)=(3,0)(h,kc)=(0,5)(h,k+c)=(0,5)It means foci will move towards the vertices.

  Algebra 2, Chapter 10.5, Problem 47HP , additional homework tip  1

  Algebra 2, Chapter 10.5, Problem 47HP , additional homework tip  2

Conclusion:

Thus, foci will move towards the vertices.

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 - 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