Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
(
3
+
4
i
)
−
(
6
−
10
i
)
=
(3+4 i)-(6-10 i)=
(
3
+
4
i
)
−
(
6
−
10
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.
(
3
+
4
i
)
−
(
6
−
10
i
)
=
(3+4 i)-(6-10 i)=
(
3
+
4
i
)
−
(
6
−
10
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Perform subtraction for real and imaginary parts:
Now, perform the subtraction for the real parts and the imaginary parts.
\newline
(
3
−
6
)
+
(
4
i
−
(
−
10
i
)
)
=
−
3
+
14
i
(3-6) + (4i-(-10i)) = -3 + 14i
(
3
−
6
)
+
(
4
i
−
(
−
10
i
))
=
−
3
+
14
i
Combine imaginary parts:
Combine the imaginary parts.
\newline
−
3
+
4
i
+
10
i
=
−
3
+
(
4
+
10
)
i
-3 + 4i + 10i = -3 + (4+10)i
−
3
+
4
i
+
10
i
=
−
3
+
(
4
+
10
)
i
Simplify the imaginary part:
Simplify the imaginary part.
\newline
−
3
+
(
4
+
10
)
i
=
−
3
+
14
i
-3 + (4+10)i = -3 + 14i
−
3
+
(
4
+
10
)
i
=
−
3
+
14
i
Write the final answer:
Write the final answer in the form
(
a
+
b
i
)
(a+bi)
(
a
+
bi
)
.
\newline
The final answer is
−
3
+
14
i
-3 + 14i
−
3
+
14
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
(
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
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant