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Let’s check out your problem:
(
21
+
2
i
)
+
(
13
+
8
i
)
=
(21+2 i)+(13+8 i)=
(
21
+
2
i
)
+
(
13
+
8
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
View step-by-step help
Home
Math Problems
Algebra 2
Composition of linear functions: find an equation
Full solution
Q.
(
21
+
2
i
)
+
(
13
+
8
i
)
=
(21+2 i)+(13+8 i)=
(
21
+
2
i
)
+
(
13
+
8
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Perform Addition:
Now we perform the addition of the real parts and the imaginary parts.
\newline
Real parts:
21
+
13
=
34
21 + 13 = 34
21
+
13
=
34
\newline
Imaginary parts:
2
i
+
8
i
=
10
i
2i + 8i = 10i
2
i
+
8
i
=
10
i
Combine Results:
Combine the results to express the sum in the form
(
a
+
b
i
)
(a+bi)
(
a
+
bi
)
.
\newline
(
21
+
2
i
)
+
(
13
+
8
i
)
=
34
+
10
i
(21+2i) + (13+8i) = 34 + 10i
(
21
+
2
i
)
+
(
13
+
8
i
)
=
34
+
10
i
More problems from Composition of linear functions: find an equation
Question
What is the midline equation of the function
\newline
h
(
x
)
=
−
3
cos
(
π
x
+
2
)
−
6
?
h(x)=-3 \cos (\pi x+2)-6 ?
h
(
x
)
=
−
3
cos
(
π
x
+
2
)
−
6
?
\newline
y
=
y=
y
=
Get tutor help
Posted 10 months ago
Question
−
2
i
⋅
(
2
+
6
i
)
=
-2 i \cdot(2+6 i)=
−
2
i
⋅
(
2
+
6
i
)
=
\newline
Your answer should be a complex number in the form
a
+
b
i
a+b i
a
+
bi
where
a
a
a
and
b
b
b
are real numbers.
Get tutor help
Posted 10 months ago
Question
(
4
)
+
(
14
−
4
i
)
=
(4)+(14-4 i)=
(
4
)
+
(
14
−
4
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 10 months ago
Question
(
−
13
+
16
i
)
−
(
3
+
4
i
)
=
(-13+16 i)-(3+4 i)=
(
−
13
+
16
i
)
−
(
3
+
4
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 10 months ago
Question
(
−
30
i
)
+
(
52
−
30
i
)
=
(-30 i)+(52-30 i)=
(
−
30
i
)
+
(
52
−
30
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 10 months ago
Question
(
−
3
+
71
i
)
+
(
9
)
=
(-3+71 i)+(9)=
(
−
3
+
71
i
)
+
(
9
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 10 months ago
Question
(
12
)
−
(
23
+
13
i
)
=
(12)-(23+13 i)=
(
12
)
−
(
23
+
13
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 10 months ago
Question
(
7
−
10
i
)
−
(
3
+
30
i
)
=
(7-10 i)-(3+30 i)=
(
7
−
10
i
)
−
(
3
+
30
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 10 months ago
Question
(
9
+
52
i
)
−
(
1
)
=
(9+52 i)-(1)=
(
9
+
52
i
)
−
(
1
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
Posted 10 months ago
Question
You pick a card at random, put it back, and then pick another card at random.
\newline
4
4
4
\newline
5
5
5
\newline
6
6
6
\newline
7
7
7
\newline
What is the probability of picking a number greater than
5
5
5
and then picking a
4
4
4
?
\newline
Write your answer as a percentage.
Get tutor help
Posted 1 month ago
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