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irinina [24]
3 years ago
14

Simplify and write the complex number in standard form 4i(7+6i)+2i(5-2i)

Mathematics
2 answers:
Stella [2.4K]3 years ago
6 0

Answer:

-20+38i

Step-by-step explanation:

Hope this will help you

Bezzdna [24]3 years ago
3 0

Answer:

20i² + 38i

Step-by-step explanation:

4i(7+6i)+2i(5-2i)

28i + 24i² + 10i - 4i²

24i² - 4i² + 28i + 10i

20i² + 38i

You might be interested in
How many solutions does the system of equations shown below have?
rjkz [21]

Answer:

one solution with a y value of 5

Step-by-step explanation:

/| x+y-4 = 0| x-y-6 = 0

We try to solve the equation: x+y-4 = 0

x+y-4 = 0 // - x-4

y = -(x-4)

y = 4-x

We insert the solution into one of the initial equations of our system of equations

We get a system of equations:

/| x+x-6-4 = 0| y = 4-x

2*x-10 = 0 // + 10

2*x = 10 // : 2

x = 10/2

x = 5

We insert the solution into one of the initial equations of our system of equations

For y = 4-x:  

y = 4-5

y = -1

We get a system of equations:

/| y = -1| x = 5

4 0
3 years ago
If i walk 4 miles per hour how long will it take to walk a mile
fiasKO [112]
Hi there! The answer is 15 minutes.

Walking 4 miles per hour means that it takes you 60 minutes to walk 4 miles. To find the time it takes you to walk 1 mile, we must divide both sides by 4.

4 miles equals 60 minutes.
1 mile equals 60 / 4 = 15 minutes.

The answer is 15 minutes.
4 0
4 years ago
What is the Answer to -14.5 + (-1.24)
Bingel [31]
The answer would be -15.74
4 0
3 years ago
Read 2 more answers
How do i draw two number lines that show 0.20 and 1/5 are equivalent?
leonid [27]
The frist line may be one with the numbers 0, 1 and 2 and 10 divisions (marks at equal distance) between each integer. Each division will be equal to 0.1 units and then you can mark the second division from the zero point to the right as the 0.20 mark.

The other line must have the same integers, 0 , 1 and 2 placed in identical form as the first line. Then
   - draw an inclined straight line since the point zero,
   - mark 5 points in the inclined lined equally spaced over the line.
   - draw a sttraight line from the 5th point to the point with the mar 1 over the base number line.
   -  draw a parallel line to the previous one passing trhough the second point of the inclined line and mark the point where this parallel touchs the base number line. This point shall be at the same distance from zero than the 0.2 mark was in the first number line, meaning that 0.2 and 1/5 are equivalent.
6 0
3 years ago
The speed of a stream is 4km/h. A boat travels 6 km upstream in the time it takes to travel 12 km downstream. What is the speed
Usimov [2.4K]
<span>6 km × 1 hour/(b-4 km) = 12 km × (1 hour/(b+4 km) 

6/(b-4) hours = 12/(b+4) hours

6(b+4) = 12(b-4)

6b + 24 = 12b - 48
72 = 6b
b = 12 
The boat's speed in still water is 12 km/hour.</span>
4 0
4 years ago
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