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sertanlavr [38]
4 years ago
11

Y = 4x - 5 y + 2 = 4x

Mathematics
1 answer:
Yuki888 [10]4 years ago
6 0

Step-by-step explanation:

y=4x-5 equation (a)

y+2=4x equation (b)

putting equation (a) in equation (b)

(4x-5)+2=4x

8x-10-4x=0

4x-10=0

x=10/4

Now put x in equation (b)

y=4*2.5-2

y=8

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(7 + 7i)(2 − 2i)
Ostrovityanka [42]

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)

\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

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2 years ago
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A recent survey found that 3 out of every 7 people like birds. If 3500 people were surveyed, how many like birds?​
photoshop1234 [79]
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The data below represent the number of days absent per year in a population of three employees of a small company:
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The sampling distribution is illustrated below.

<h3>How to illustrate the sampling?</h3>

Based on the information given, the population is illustrated as 1, 4, 7. The sample without replacement will be:

<u>Sample Mean</u>

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1 and 7. 4

4 and 7. 5.5

The population mean will be:

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The sample mean is an unbiased estimator of the population mean.

The sampling with replacement illustrates that the mean will be:

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Also, when n = 3, the number of samples will be:

= 3³ = 27

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Answer:

Step-by-step explanation:

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