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Algebra 2
Powers of i
Find the values of
x
x
x
and
y
y
y
in the following matrix subtraction.
\newline
[
5
x
−
1
]
−
[
−
3
2
y
]
=
[
8
−
5
−
6
]
x
=
□
y
=
□
\begin{array}{l} {\left[\begin{array}{c} 5 \\ x \\ -1 \end{array}\right]-\left[\begin{array}{c} -3 \\ 2 \\ y \end{array}\right]=\left[\begin{array}{c} 8 \\ -5 \\ -6 \end{array}\right]} \\ x=\square \\ y=\square \end{array}
⎣
⎡
5
x
−
1
⎦
⎤
−
⎣
⎡
−
3
2
y
⎦
⎤
=
⎣
⎡
8
−
5
−
6
⎦
⎤
x
=
□
y
=
□
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Find the values of
x
x
x
and
y
y
y
in the following scalar multiplication.
\newline
7
⋅
[
1
x
5
]
=
[
7
−
21
y
]
x
=
□
y
=
□
\begin{array}{l} 7 \cdot\left[\begin{array}{l} 1 \\ x \\ 5 \end{array}\right]=\left[\begin{array}{c} 7 \\ -21 \\ y \end{array}\right] \\ x=\square \\ y=\square \end{array}
7
⋅
⎣
⎡
1
x
5
⎦
⎤
=
⎣
⎡
7
−
21
y
⎦
⎤
x
=
□
y
=
□
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Order the following numbers from greatest to least.
\newline
Put the greatest number on the left.
\newline
−
5.6
0
5
6
−
6
5
-5.6 \quad 0 \quad \frac{5}{6} \quad -\frac{6}{5}
−
5.6
0
6
5
−
5
6
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log
7
343
=
\log _{7} 343=
lo
g
7
343
=
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Which of the following is equivalent to the complex number
i
21
i^{21}
i
21
?
\newline
Choose
1
1
1
answer:
\newline
(A)
1
1
1
\newline
(B)
i
i
i
\newline
(C)
−
1
-1
−
1
\newline
(D)
−
i
-i
−
i
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What is the period of
\newline
y
=
4
sin
(
−
2
x
+
7
)
−
1
?
y=4 \sin (-2 x+7)-1 \text { ? }
y
=
4
sin
(
−
2
x
+
7
)
−
1
?
\newline
Give an exact value.
\newline
units
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What is the amplitude of
y
=
−
sin
(
8
x
−
3
)
+
5
y=-\sin (8 x-3)+5
y
=
−
sin
(
8
x
−
3
)
+
5
?
\newline
units
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What is the period of
y
=
3
cos
(
x
−
7
)
+
2
y=3 \cos (x-7)+2
y
=
3
cos
(
x
−
7
)
+
2
?
\newline
Give an exact value.
\newline
units
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Solve the equation.
\newline
12
=
n
−
9
n
=
□
\begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}
n
=
12
=
n
−
9
□
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