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denis-greek [22]
3 years ago
12

Divide the following complex numbers: (5-i)/(4+3i)

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
7 0

Answer:

\frac{17}{25} -\frac{19}{25} i

Step-by-step explanation:

\frac{5-i}{4+3i}

= \frac{17}{25} -\frac{19}{25} i

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Solve this system of equations without graphing and show your reasoning
Drupady [299]

Answer:

x = 1/5

y = 6

Step-by-step explanation:

System:

{5x + y = 7

{20x + 2 = y

First equation:

5x + y = 7 -> y = -5x + 7

Plug into second equation:

20x + 2 = -5x + 7

Subtract 2 from both sides:

20x = -5x + 5

Add 5x to both sides:

25x = 5

Divde both sides by 25:

x = 5/25 -> 1/5

~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Come back to the first equation:

5x + y = 7

Plus in our x:

5(1/5) + y = 7

Multiply:

1 + y = 7

Subtract 1 from both sides:

y = 6

Hope this helps, have a nice day! :D

7 0
2 years ago
Why did the banana go out with the plum?
Lorico [155]
<span>Because he couldn't find a date</span>
3 0
3 years ago
Abe and 2 friends are going on a diving trip. It costs $400 an hour to rent the boat and a flat fee of $30 per person for the eq
Fofino [41]

Answer: $1690

Step-by-step explanation: because there are 3 people which means the flat fee would add up to 90 (because 30x3=90). Then you have to multiply 400 by 4 to get how much money they spent for renting the boat (400x4=1600). Lastly you add 1600 and 90 to get the final price. (1600+90=1690).

4 0
3 years ago
A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and loaves of bread for $11.67. Ronda buys e
Annette [7]

Answer:

a. The equation should be

4x + 3y = $11.67

8x + y = $12.89

b. The price of one can of soup and the price of one loaf of bread is $1.355 and $2.09

The calculation is as follows:

here we assume the soup be x and bread be y

So, the equations are

4x + 3y = $11.67 .........(1)

8x + y = $12.89.........(2)

Here we need to multiply by 2 in equation 1

8x + 6x = $23.34

8x + y = $12.89

5y = $10.45

y = $2.09

Now x should be

8($2.09) + y = $12.89

x = $1.355

Hope this helps :)

8 0
2 years ago
Easy 7 points!!! Please help!! Consider the function f(x)=-2/3x+5 what is f(-1/2)? Enter your answer as a simplified fraction in
Citrus2011 [14]

Answer:

F(-1/2)= 5 1/3

Step-by-step explanation:

-1/2 X -2/3 = 1/3 because the two negatives cancle out. 1/3 + 5=

5 and 1/3.

3 0
3 years ago
Read 2 more answers
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