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yanalaym [24]
3 years ago
12

Arrange the complex numbers in order according to the quadrant in which they appear, starting with the first quadrant.

Mathematics
2 answers:
Arlecino [84]3 years ago
7 0
The correct answer for this question is this one:

The correct arrangement of this 

<span>First: 4 +i.

Then it is followed by
Second: -2 + 2i

Then,
Third: -1 - 3i

And lastly,
Fourth: 3 - 4i</span>
yKpoI14uk [10]3 years ago
7 0

Answer:

in order : 4 + i , 3 − 4i , -1 − 3i , -2 + 2i    

Step-by-step explanation:

The complex numbers are arranged in the following way :

1st quadrant : Real , Imaginary both positive

2nd quadrant : Real positive , Imaginary negative

3rd quadrant : Real, Imaginary negative

4th quadrant : Real negative , Imaginary positive

So, The following complex numbers according to the above rule can be arranged as :

3 − 4i : 2nd quadrant

-1 − 3i : 3rd quadrant

4 + i : 1st quadrant

-2 + 2i : 4th quadrant

Thus, in order : 4 + i , 3 − 4i , -1 − 3i , -2 + 2i

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Carpet for one office costs $210. If the carpet sells for $8.75 per
Ilia_Sergeevich [38]

Answer:

a.

Let x be the number of square yards of carpeting for which the total cost charged by the two companies will be the same.

We have an expression for the total cost of Country Carpets:

($22/ 1 yd^2)* (x yd^2) + $100

= $22*x+ $100

or 22x+ 100

We also have another expression for the total cost of City Carpets:

($25/ 1 yd^2)* (x yd^2)+ $70

= $25*x+ $70

or 25x+ 70

Now set the two expressions to be equal:

22x+ 100= 25x+ 70

⇒ 100- 70= 25x -22x

⇒ 30= 3x

⇒ 30/3= x

⇒ 10= x

The final answer for a is 10 square yards of carpeting~

b.

Let's assume that Mr. Shu wants to install carpeting for 1 square yard.

Country Carpets: $22*1+ $100= $122

City Carpets: $25*1+ $70= $95

Therefore, Mr. Shu will be likely to choose City Carpets if he wants to install carpeting for 1 square yard.

Now let's try x=11 (square yard):

Country Carpets= $22*11+ $100= $342

City Carpets= $25*11+ $70= $345

Therefore, Mr. Shu will be likely to choose Country Carpets if he wants to install carpeting for 11 square yard.

If you paid really close attention, you would notice that the price of City Carpets will be cheaper than the other when x is >0 and <10. At x=10, the price is equal. When x is >10, the price of Country Carpets will be cheaper than the other one.

So it depends:

If x were >0 and <10, Mr. Shu would be likely to choose City Carpets.

If x were 10, Mr. Shu could choose either Country Carpets or City Carpets.

If x were > 10, Mr. Shu would be likely to choose Country Carpets.

Hope this helps~

Step-by-step explanation:

7 0
2 years ago
What is -4 3/4+2 1/2
OLga [1]
The answer as a mixed number: -2 1/4
the answer as a decimal: -2.25
the answer as an improper fraction: -9/4
3 0
3 years ago
Which fraction is closer to 1/2 than 1?<br> 7/8<br> 10/12<br> 12/14<br> 7/10
larisa [96]

Answer:

7/10

Step-by-step explanation:

7/8 = .875

10/12 = .833

12/14 = .857

7/10 = .7

1/2 - .5

5 0
2 years ago
Read 2 more answers
500/25=100/y<br> help me in this :(
kupik [55]

Answer:

\boxed{\boxed{\sf  1  \ by \ 2  }}

500/25 = 100/y

100/5 = 100/y

20 = 100/Y

200/1 = 100/Y

By cross multiplication

200 × Y = 100 × 1

Y = 100 /200

Y = 1/2

6 0
3 years ago
Read 2 more answers
How to solve 1/4 - -4/3 - -1 2/9
Ahat [919]

Answer:

2 29/36

Step-by-step explanation:

So circle the two signs., so the problem is now this:

1/4+4/3+1 2/9

Then you find the GCM, or Greatest Common Denominator.

It is 36. Then, you re-write the new answers

9/36+ 48/36+ 1 18/36

Now we have this:

1 65/36

The answer is 2 29/36

8 0
3 years ago
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