Properties Of Radicals, Simplifying Radicals, Rationalizing Operations Worksheet - Section A-7 Page 9
ADVERTISEMENT
1
2
3
4
5
6
7
8
9A-65
A-8 Linear Equations and Inequalities
3
where M
mass at rest and c
velocity of light. The
86. (A)
2
2
5
(B)
8
0
mass of an object increases with velocity and tends to in-
(C)
3
7
(D)
3
8
3
8
finity as the velocity approaches the speed of light. Show
(E)
10
84
(F)
1
5
that M can be written in the form
2
2
M
c c
v
0
In Problems 87–90, rationalize denominators.
M
2
2
c
v
1
1
_ Pendulum. A simple pendulum is formed by
87.
88.
96. Physics_
3
3
3
3
a
b
m
n
hanging a bob of mass M on a string of length L from a
fixed support (see the figure). The time it takes the bob to
1
1
89.
90.
swing from right to left and back again is called the pe-
x
y
z
x
y
z
riod T and is given by
[Hint for Problem 89: Start by multiplying numerator and
L
denominator by
( x
y)
z.
]
T
2
g
where g is the gravitational constant. Show that T can be
Problems 91 and 92 are calculus-related. Rationalize
written in the form
numerators.
2
gL
3
3
3
3
T
x
h
x
t
x
g
91.
92.
h
t
x
kn
n
km
m
93.
Show that
x
x
for k, m, and n natural numbers
greater than 1.
m
mn
n
94.
Show that
x
x
for m and n natural numbers
greater than 1.
APPLICATIONS
_ Relativistic Mass. The mass M of an object
95. Physics_
moving at a velocity v is given by
M
0
M
2
v
1
2
c
Section A-8 Linear Equations and Inequalities
Equations
Solving Linear Equations
Inequality Relations and Interval Notation
Solving Linear Inequalities
Equations
An algebraic equation is a mathematical statement that relates two algebraic
expressions involving at least one variable. Some examples of equations with x
as a variable are
1
x
3x
2
7
1
x
x
2
2
2x
3x
5
0
x
4
x
1
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education