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ASHA 777 [7]
2 years ago
6

If (2i/2+i)-(3i/3+i)=a+bi, then b=

Mathematics
1 answer:
max2010maxim [7]2 years ago
6 0

Answer:

b = -1/10.

Step-by-step explanation:

(2i/2+i)-(3i/3+i)

= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)

= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)

=  (-2 + 3) / (6 + 5i - 1)

= 1 / (5 + 5i)

Now we multiply top and bottom by 5 - 5i :

= 5 - 5i / (5 + 5i)(5 - 5i)

=  5 - 5i / 25 -25i^2

= 5 - 5i / 50

= 1/10 - 1/10i

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At a bake sale, as student spent $11.00 buying 3 brownies and 5 cookies. His friend spent $3.95 buying 1 brownie and 2 cookies.
dybincka [34]

Answer:

$2.25

Step-by-step explanation:

Let "b" be the price of 1 brownie and "c" the price of 1 cookie.

At a bake sale, a student spent $11.00 buying 3 brownies and 5 cookies. Symbolicaly,

3 b + 5 c = 11.00   [1]

His friend spent $3.95 buying 1 brownie and 2 cookies. Symbolicaly,

1 b + 2 c = 3.95

b = 3.95 - 2c   [2]

If we replace [2] in [1], we get

3 (3.95 - 2c) + 5 c = 11.00

11.85 - 6c + 5c = 11.00

c = 0.85

If we replace c = 0.85 in [2], we get

b = 3.95 - 2 (0.85) = 2.25

8 0
3 years ago
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Kisachek [45]
The process of moving a figure to a different location is called TRANSFORMATION. 
5 0
2 years ago
The total area of Russian is about 20,000,000
maksim [4K]

Answer: 19,990,000 times

Step-by-step explanation: Land area of Russia = 20000000

Land area of Puerto Rico = 10000

20000000 -  10000 = 19,990,000

7 0
2 years ago
I didn’t really understand number 9
Leona [35]
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7 0
3 years ago
What multiplies to -4 and adds up to 7?
devlian [24]
The two numbers are (7+ sqrt(65))/2 and (7- sqrt(65))/2

(7+ sqrt(65))/2+ (7- sqrt(65))/2= 7
(7+ sqrt(65))/2* (7- sqrt(65))/2)= -4.

Hope this helps~
6 0
2 years ago
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