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Tema [17]
2 years ago
14

What is the constant term in the expression 9xy + 6x +10? Help help!!

Mathematics
1 answer:
ycow [4]2 years ago
5 0

Answer:

10

Step-by-step explanation:

the constant term in the expression is 10

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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
In how many ways can you choose 2 side dishes out of 8
Alina [70]
The first choice can be any one of the 8 side dishes.
               For each of these . . .
The 2nd choice can be any one of the remaining 7.

     Total number of ways to pick 2 out of 8 = (8 x 7) = 56 ways .

BUT ...

That doesn't mean you can get 56 different sets of 2 side dishes.

For each different pair, there are 2 ways to choose them . . .
(first A then B), and (first B then A).  Either way, you wind up with (A and B).

So yes, there are 56 different 'WAYS' to choose 2 out of 8.
But there are only 28 different possible results, and 2 'ways'
to get each result.
4 0
2 years ago
Read 2 more answers
01010101010101010100101010100100101010101010010101101001010101101001010100101010101010100000000010101010101010010101010101010101
Xelga [282]

Answer:

1. first one

2. there are no solutions that i see

Step-by-step explanation:

5 0
2 years ago
Joe has fraction 5 over 6 pound of bird seed. He needs Fraction 1 over 3. pound to feed the birds daily. Which of the rectangle
Studentka2010 [4]
I divided the two fractions & drew a model.

\frac{5}{6}/ \frac{1}{3} = 2.5

So we know that the bird seed will last 2.5 days.

Knowing this, we can go with:

B. Rectangle model divided into six equal sections, five sections are labeled five-sixths and two sections are labeled one-third, equaling two and one-half days.

Let me know if you find any problems with my answer.


9 0
3 years ago
The length of a rectangle is 3yd less than twice the width, and area of the rectangle is 27yd^2. Find the dimensions of the rect
Llana [10]
Width= 4.5 yards
length= 6 yards
3 0
3 years ago
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