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Let’s check out your problem:
(
−
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
)
.
View step-by-step help
Home
Math Problems
Algebra 2
Composition of linear functions: find an equation
Full solution
Q.
(
−
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
)
.
Combine complex numbers:
To add two complex numbers, we combine the real parts and the imaginary parts separately.
\newline
(
−
30
i
)
+
(
52
−
30
i
)
=
(
0
+
52
)
+
(
−
30
i
−
30
i
)
(-30i) + (52 - 30i) = (0 + 52) + (-30i - 30i)
(
−
30
i
)
+
(
52
−
30
i
)
=
(
0
+
52
)
+
(
−
30
i
−
30
i
)
Add real parts:
Now, we add the real parts:
0
+
52
=
52
0 + 52 = 52
0
+
52
=
52
.
\newline
And we add the imaginary parts:
−
30
i
−
30
i
=
−
60
i
-30i - 30i = -60i
−
30
i
−
30
i
=
−
60
i
.
Add imaginary parts:
Combine the real and imaginary parts to express the sum in the form
(
a
+
b
i
)
(a + bi)
(
a
+
bi
)
.
\newline
The sum is
52
−
60
i
52 - 60i
52
−
60
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
(
−
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
(
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
)
.
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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