Intermediate Algebra (11th edition)

29. 
    
    
    
    31. 
        
        
        
        33. 
            
        
        
        
        
    
    
    
    


30. 
    
    
    
    37. 
        
        
        
        39. 
            
        
        
        
        
    
    
    
    

41.By the vertical line test the set is not a function, because a vertical

line may intersect the graph of an ellipse in two points.

43. ,


44. 
    
    
    
    47. 
        
    
    
    
    


45. 
    
    
    
    51. (a)10 m (b)36 m
    
    
    
    


46. (a)154.7 million mi (b)128.7 million mi (Answers are rounded.)


47. 
    
    
    
    57. ;
    
    
    
    

Section 11.3 (pages 655–657)

1.C 3.D

5. 
   
   
   
   7. 
      
      
      
      9. 
         
      
      
      
      
   
   
   
   


6. 13.hyperbola 15.ellipse

17.circle 19.parabola 21.hyperbola

1 3, 0 21 0, 4 2

323 units

y 1 = 4 + 216 - 1 x+ 222 y 2 = 4 - 216 - 1 x+ 222

Section 11.4 (pages 662–663)

1.one 3.none

5. 
   
   
   
   7. 
      
      
      
      9. 
         
         
         
         11. 
             
         
         
         
         
      
      
      
      
   
   
   
   


6. 
   
   
   
   15. 
       
   
   
   
   


7. 
   
   
   
   19. 
       
   
   
   
   


8. 
   
   
   
   23. 
       
   
   
   
   


9. 
   

27.

29. 
    
    
    
    31. 
        
    
    
    
    


30. 
    


31. 
    
    
    
    37. 
        
    
    
    
    


32. 51 i, 2i 2 , 1 - i, - 2 i 2 , 1 2, - 12 , 1 - 2, 1 26

A 2 i 22 , 2 23 BF EA- 25 , - 25 B, A 25 , 25 BF

EA-^2 i^22 , -^223 B,A-^2 i^22 , 2^23 B,A^2 i^22 , -^223 B,

EA- 223 , - 2 B, A- 223 , 2B,A 223 , - 2 B, A 223 , 2BF

51 - 2, 0 2 , 1 2, 0 (^26) EA 23 , 0B, A- 23 , 0BF
a-
23
3
i, -
1
2

• 23
  6
  ea ibf
  23
  3
  i, -
  1
  2

• 23
  6
  ib,

EA-^23 , 0B, A^23 , 0B,A-^25 , 2B, A^25 , 2BF

51 - 3, 1 2 , 1 1, - 326 EA-^32 , - 49 B, 1 - 2, 0 2 F

EA- 51 , 57 B,^1 1, -^12 F E^1 - 2, -^22 , A-^43 , -^3 BF

E 1 0, 0 2 , A 21 , 21 BF 51 - 6, 9 2 , 1 - 1, 4 26

A-28 Answers to Selected Exercises

x

y

0 3

5

x^2

9

y^2

+= 1 25

x

y

(^06)
4
x^2
36
y^2
+= 1 16
x
y
0 4
x^2
16
y^2

• 4 = 1
  2
  x
  y
  0
  5
  7
  y^2
  25
  x^2
  = 1 – 49
  x
  y
  (–1, 2)
  0
  2
  9
  7
  (x + 1)^2
  64
  (y – 2)^2
  += 1 49
  x
  y
  0
  –2–2^26
  (x – 2)^2
  16
  (y – 1)^2


• 9 = 1
  (2, 1)
  10
  –10

• 15 15

10

–10

–15 15

x

y

–4 24

4

(–3, 4) 2 (3, 4)

(–3, –4) (3, –4)

–2

x

y

0

4

3

x^2

16

y^2

–= 1 9

x

y

05

2

y^2

4

x^2

–= 1 25

x

y

05

6

x^2

25

y^2

–= 1 36

x

y

0

4

–4

–4 4

y^2

16

x^2

–= 1 16

x

y

0

4

4

x^2 – y^2 = 16

x

y

0 2

4

4 x^2 + y^2 = 16

x

y

06

y^2 = 36 – x^2

x

y

02

4

x^2 – 2y = 0

x

y

02

2

y^2 = 4 + x^2

x

y

0

2

–4 4

f(x) = √16 – x^2

23.domain: ;

range: 3 0, 4 4

3 - 4, 4 4 25.domain: ;

range: 3 - 6, 0 4

3 - 6, 6 4 27.domain: ;

range: 3 - 2, 0 4

3 - 3, 3 4

x

y

0

–6

–6

6

f(x) = –√36 – x^2

x

y

0

–3

–2

3

9

y = –2 1 –x^2

29.domain: ;

range: 3 3, q 2

1 - q, q 2

x

y

0

3

3

y

3

x^2

= √1 + 9

31. 
    
    
    
    33. 
        
    
    
    
    

x

y

0

2

–1

(2, –1)

(x – 2)^2

4

(y + 1)^2

–= 1 9

x

y

02

y^2

36

(x – 2)^2

–= 1 49

(2, 0)

35. (a)50 m (b)69.3 m 37. ,


36. 
    
    
    
    41. 
        
    
    
    
    


37. 
    
    
    
    45. 47.e 23 , 
        22
        2
        51 2, 9 26 51 - 1, 2 26 if
    
    
    
    

y 2 =-

B

x^2

9

y 1 = - 1

B

x^2

9

• 1

10

–10

–15 15

10

–10

–15 15

y

0 x

y

0 x

0 x

y

x

y

0