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Math Problems
Algebra 2
Find the constant of variation
In the following expression, both
A
A
A
and
B
B
B
are variables that can take positive values.
\newline
A
(
B
)
(
B
+
2
)
A^{(B)}(B+2)
A
(
B
)
(
B
+
2
)
\newline
Which of these actions will cause the expression's value to increase?
\newline
Choose
2
2
2
answers:
\newline
A). Keeping
A
A
A
constant and increasing
B
B
B
\newline
B). Keeping
A
A
A
constant and decreasing
B
B
B
\newline
C). Increasing
A
A
A
and keeping
B
B
B
constant
\newline
D). Decreasing
A
A
A
and keeping
B
B
B
constant
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Sketch an angle
θ
\theta
θ
in standard position such that
θ
\theta
θ
has the least possible positive measure, and the point
(
−
7
,
−
24
)
(-7,-24)
(
−
7
,
−
24
)
is on the terminal side of
θ
\theta
θ
. Then find the values of the six trigonometric functions for the angle. Rationalize denominators when applicable. Do not use a calculator.
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a
y
=
2
x
+
1
ay=2x+1
a
y
=
2
x
+
1
\newline
y
=
2
x
+
2
y=2x+2
y
=
2
x
+
2
\newline
Consider the system of equations, where
a
a
a
is a constant. For what value of
a
a
a
are there no
(
x
,
y
)
(x,y)
(
x
,
y
)
solutions?
\newline
□
\square
□
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The quantity
z
z
z
varies directly with
y
y
y
and inversely with
w
w
w
and
x
x
x
. When
y
=
12
y = 12
y
=
12
,
w
=
8
w = 8
w
=
8
, and
x
=
–
5
x = –5
x
=
–5
,
z
=
–
3
z = –3
z
=
–3
. What is the value of
k
k
k
, the constant of variation?
\newline
Write your answer in the form
A
A
A
or
(
A
)
(
B
)
\frac {(A)}{(B)}
(
B
)
(
A
)
, where
A
A
A
and
B
B
B
are constants or variable expressions.
\newline
____
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