Chapter 9 Radical Functions

Homework 9.1
SSM: Intermediate Algebra
61. 6 31 30
( 2x + 9) = 6 ( 2x + 9) ( 2x
+ 9)
( x )
6
30 6
= + ⋅ x +
2 9 2 9
( x )
5 6
= 2 + 9 2x
+ 9
75. a.
3h 3h 2 3h ⋅2 6h
d = = ⋅ = =
2 2 2 2 ⋅2
2
6 6/8 3/ 4 3
63. 8 x = x = x =
4 x
4 4/ 6 2/3 2
65. 6 x = x = x =
3 x
10 10/12
12
67. ( 2x
+ 7) = ( 2x
+ 7)
69.
71.
73.
6 14 14/ 6
6
x
= x
= x
=
7 /3
3 7
x
3 6
= x ⋅ x
3 6 3
= x ⋅
= x
2 3
6 3
27 = 3
= 3
= 3
3/ 6
1/ 2
= 3
( 2x
7)
= +
5/ 6
( 2x
7)
6
= +
x
x
10 8 10 10 8
16x
= 16 ⋅
10 2 10 8
= 4 ⋅
5
2 /10 8/10
= 4 ⋅ x
1/ 5 4 / 5
= 4 ⋅ x
= 4 ⋅
=
5 4
4x
5 4
x
x
x
5
b.
c.
d =
=
=
=
6h
2
( )
6 1450
2
8700
2
10 87
2
= 5 87 ≈ 46.64 miles
The distance to the horizon from the top of
the Sears Tower is roughly 46.64 miles.
d =
=
=
=
6h
2
( )
6 30,000
2
180,000
2
300 2
2
= 150 2 ≈ 212.13 miles
The distance to the horizon from the plane is
roughly 212.13 miles.
77. Answers will vary.
79. n abc = n ⋅
n n
=
a bc
a
a
bc
b c
n n
= ⋅
=
a b c
n n n
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