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 11.1, Problem 61PPSE
Solution

To identify: The center, vertices, and foci for the ellipse (x2)29+(y1)225=1 .

The center is (h,k)=(2,1) , the vertices are (2,6)and(2,4) , and the foci are (2,5) and (2,3) .

Given information:

The given ellipse is (x2)29+(y1)225=1 .

Explanation:

Consider the ellipse: (x2)29+(y1)225=1

The standard equation form of ellipse is: (xh)2b2+(yk)2a2=1

The center of the given ellipse is (h,k)=(2,1) .

The value of b2 is 9 then b=3 . Similarly, the value of a2 is 25 then a=5 .

To find the vertices of the given ellipse, use the formula: (h,k±1)

Then the vertices are:

  (h,ka)=(2,15)=(2,4)(h,k+a)=(2,1+5)=(2,6)

Therefore, the vertices are (2,6)and(2,4) .

Now find the foci. First find the value of c then use the formula for foci (h,k±c) .

  c2=b2a2c2=259c2=16c=4

Now the foci are:

  (h,k+c)=(2,1+4)=(2,5)(h,kc)=(2,14)=(2,3)

Therefore, the foci is (2,5) and (2,3) .

Chapter 11 Solutions

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

Ch. 11.1 - Prob. 11PPSECh. 11.1 - Prob. 12PPSECh. 11.1 - Prob. 13PPSECh. 11.1 - Prob. 14PPSECh. 11.1 - Prob. 15PPSECh. 11.1 - Prob. 16PPSECh. 11.1 - Prob. 17PPSECh. 11.1 - Prob. 18PPSECh. 11.1 - Prob. 19PPSECh. 11.1 - Prob. 20PPSECh. 11.1 - Prob. 21PPSECh. 11.1 - Prob. 22PPSECh. 11.1 - Prob. 23PPSECh. 11.1 - Prob. 24PPSECh. 11.1 - Prob. 25PPSECh. 11.1 - Prob. 26PPSECh. 11.1 - Prob. 27PPSECh. 11.1 - Prob. 28PPSECh. 11.1 - Prob. 29PPSECh. 11.1 - Prob. 30PPSECh. 11.1 - Prob. 31PPSECh. 11.1 - Prob. 32PPSECh. 11.1 - Prob. 33PPSECh. 11.1 - Prob. 34PPSECh. 11.1 - Prob. 35PPSECh. 11.1 - Prob. 36PPSECh. 11.1 - Prob. 37PPSECh. 11.1 - Prob. 38PPSECh. 11.1 - Prob. 39PPSECh. 11.1 - Prob. 40PPSECh. 11.1 - Prob. 41PPSECh. 11.1 - Prob. 42PPSECh. 11.1 - Prob. 43PPSECh. 11.1 - Prob. 44PPSECh. 11.1 - Prob. 45PPSECh. 11.1 - Prob. 46PPSECh. 11.1 - Prob. 47PPSECh. 11.1 - Prob. 48PPSECh. 11.1 - Prob. 49PPSECh. 11.1 - Prob. 50PPSECh. 11.1 - Prob. 51PPSECh. 11.1 - Prob. 52PPSECh. 11.1 - Prob. 53PPSECh. 11.1 - 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