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Luba_88 [7]
2 years ago
15

Find the value of x.

Mathematics
1 answer:
brilliants [131]2 years ago
4 0

Answer:

4

Step-by-step explanation:

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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:

brainly.com/question/10251853

#SPJ1

3 0
2 years ago
This is my question! ​
tatuchka [14]

Answer:

J

Step-by-step explanation:

mode = 56

mean = 37.4

median = 35

6 0
3 years ago
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Alex73 [517]

Answer:i think is the fourth one or the fifth one.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Alicia buys a 5 pound. Bag of rocks for a fish tank . she uses 1 1 eights pounds for a small fish
ivann1987 [24]
3 and 5 eights. All you have to do is subtract 5- 11/8 which is 1 and 3/8 which will give you 3 and 5 over eight as a answere
6 0
3 years ago
Mark McGuire hit 70 home runs in the 1998 season. Given that there are 4 bases &amp; 90 feet between each base, how many miles d
alekssr [168]

Answer:

4.8 or about 5 miles

Step-by-step explanation:

In order to solve this problem, you must first multiply the 4 bases × 90 feet to get how much feet he runs in 1 home run. 4 × 90= 360 feet. Then you must multiply 360 feet × 70 homeruns, this will give you how many feet he ran in 70 homeruns. Your answer will be 25,200 feet. Now, there are 5,280 feet in <em>one</em> mile, so you must divide 25,200 by 5,280. Using a calculator, my answer was 4.7727272727. I then rounded it up to 4.8 miles, or about 5 miles.

6 0
3 years ago
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