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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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Complete the equation of the line through (-9,7) and (-6,-3)
Mila [183]

Answer:



Step-by-step explanation:

In point slope form, the equation is y-7=(-10/3)(x+9).  In slope-intercept form, it is y=(-10/3)x-23.

First find the slope of the line.  The formula for slope is

m=(y₂-y₁)/(x₂-x₁)

Using our points, we have 

m=(-3-7)/(-6--9) = -10/3

Plug this into point slope form:

y-y₁=m(x-x₁)

y-7=(-10/3)(x--9)

y-7=(-10/3)(x+9)

Using the distributive property:

y-7=(-10/3)*x+(-10/3)*9

y-7=(-10/3)x-90/3

y-7=(-10/3)x-30

Add 7 to both sides:

y=(-10/3)x-23

7 0
3 years ago
If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w*r)(x)
Ainat [17]

A

(-infinity and 0)      

just took test      

8 0
3 years ago
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An 18ft ladder leans against a house, reaching a point 14ft above the ground. How far is the foot of the ladder from the bottom
Arisa [49]

Answer: a^2+b^2=c^2

Step-by-step explanation: (18^2=14^2+c^2)=324=196+c^2

324-196=128 and the square root of 128 is 8 radical 2 or in decimal form 11.31

5 0
3 years ago
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If cos A = 3 over 11, then which of the following is correct?
ziro4ka [17]

Answer:  The answer is (a) sec A = 11 over 3.



Step-by-step explanation: Given that Cosine of an angle 'A' is 3 over 11,

i.e.,

\cos A=\dfrac{3}{11}.

And we need to find which one of the given four options is correct.

We have the following relations between cosine, secant and cosecant of an angle from trigonometry.

\sec A=\dfrac{1}{\cos A}~~\textup{and}~~\csc A=\dfrac{1}{\sqrt{1-\cos^2 A}}.

Therefore,

\sec A=\dfrac{11}{3}

and

\csc A=\dfrac{1}{\sqrt{1-\frac{9}{121}}}=\dfrac{1}{\sqrt{\frac{112}{121}}}=\dfrac{11}{4\sqrt 7}.

Thus, the correct option is (a)  sec A = 11 over 3.

3 0
4 years ago
48 rainy days out of 60 days
Inessa [10]
48/60
Simplify
4/5
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