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Mariulka [41]
4 years ago
10

Simplify 6 / (7+3i).

Mathematics
2 answers:
Helen [10]4 years ago
6 0

Answer:

21/29 - 9/29<em>i</em>

user100 [1]4 years ago
5 0

Answer:

To simplify the following expression: 6 / (7+3i), we're going to multiply and divide the entire expression by (7+3i), as follows:

\frac{6 (7-3i)}{ (7+3i)(7-3i)} = \frac{42-18i}{58} = 0.72 - 0.31i

Now, the denominator has NO imaginary numbers.

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Write an equation of the line that is:
zlopas [31]
Lines that are parallel will have the same slope. Lines that are perpendicular will have slopes that are the negative reciprocal of each other.

<em>(a) </em><span><em>parallel to the line y=2x-4, and has a y-intercept of 7</em>
</span>slope of first line: 2
slope of second line: 2
y=mx + b
<span>y=2x+7
</span>
<em>(b) parallel to the line y-3x=6, and has a y-intercept of -2</em>
y=3x+6
slope of first line: 3
slope of second line: 3
y=mx + b
y=3x-2

<em>(c) </em><span><em>parallel to the line 2x+3y=12, and that passes through the origin</em>
</span>3y=-2x+12
y=-2/3x+4
slope of first line: -2/3
slope of second line: -2/3
origin: (0,0)
y=mx + b
y=-2/3x + 0
y=-2/3x

<em>(d) </em><span><em>perpendicular to the line y=3x+2, and has a y-intercept of 2</em>
</span>slope of first line: 3
slope of second line: -1/3
y=mx + b
y=-1/3x + 2

<em>(e) </em><span><em>perpendicular to the line 3y+4x=18, and that passes through the origin</em>
3y=4x+18
y=4/3x+6
</span>slope of first line: 4/3
slope of second line: -3/4
origin: (0,0)
y=mx + b
y=-3/4x + 0
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3 0
3 years ago
Solve the equation using the Properties of Equality: 15a = – 2
Lostsunrise [7]

Answer:

          2

a =  -  ------

         15

Step-by-step explanation:

15 a = -2  (divide 15 on each side)

15a           2

-----  =  - ------

15            15

          2

a =  -  ------

         15

3 0
3 years ago
The graph shows the function f(x) = |x-h| + k. What is the value of k?
dexar [7]

Answer:

k is the y-coordinate of the vertex of the function. That vertex is located at (1, -2.5).

The value of k is ...

... A. k = -2.5

i think... ;-;

5 0
3 years ago
A brother and a sister are in the same math class. There are 6 boys and 9 girls in the class. One boy and one girl are randomly
aleksley [76]

Answer:

1/54

Step-by-step explanation:

I believe you would take the chance of just getting the brother(1/6) and times that by the chance of getting the sister(1/9) which would be 1/54.

4 0
4 years ago
Which composition of transformations below will map figure K onto figure S and then onto figure U?
Elina [12.6K]
"Rotation and reflection" are the composition of transformations among the following choices given in the question that <span>will map figure K onto figure S and then onto figure U. The correct option among all the options that are given in the question is the second option or option "B". I hope that the answer has helped you. </span>
5 0
4 years ago
Read 2 more answers
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