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zhannawk [14.2K]
3 years ago
5

Find the modulus of -2 - 6i. 40 -40 6.3 -6.3

Mathematics
1 answer:
olga2289 [7]3 years ago
6 0
The modulus of complex number can be computed with this equation:
|z|=sqrt(Re(z)^2+Im(z)^2)
z = -2-6i
Re(z)=-2, so Re(z)^2=4
Im(z)=-6, so Im(z)^2=36
|z|=sqrt(36+4)=sqrt(40)=6.3
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Solve for N: 8th grade KA math problem. Correct answers only, have a great day
Alona [7]

Answer:

n = 5

Step-by-step explanation:

1) Use power rule: (x^a)^b=x^{ab}.

z^{2n}=z^{10}

2) Cancel the base of z on both sides.

2n = 10

3)  Divide both sides by 2.

n=\frac{10}{2}

4) Simplify \frac{10}{2} to 5.

n = 5

7 0
2 years ago
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The current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel
JulijaS [17]

If the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.

<h3>What is speed?</h3>

Speed is the distance covered by an object in a certain time period. It is also known as velocity. The formula of speed is as follows:

Speed=Distance/ Time.

<h3>How to calculate speed?</h3>

We have been given that the speed of stream is 7miles per hour.

Let v be the speed of the boat, and t the time to travel

98=t*(7+v) (1)

49=t(v-7) (2)

(1)+(2) => 2tv=147

7t+(49+7t)=98

14t+49=98

14t=49

t=49/14

t=7/2

Put the value of t in equation 1 to get the value of v:

98=t(7+v)

98=7/2(7+v)

196/7=7+v

28=7+v

v=28-7

v=21

Hence if the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.

Learn more about speed at brainly.com/question/4931057

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6 0
2 years ago
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zzz [600]
    173
2√346
<u>  -2    </u>
   14
<u>  -14  </u>
     06
<u>     -6</u>
      0

The answer is 173 (tried my best to show my work)
7 0
3 years ago
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Simplify :<br><br> -0.5(0.8 + 8y)
Minchanka [31]

Answer:

-0.4-4y

Step-by-step explanation:

-0.5(0.8+8y)

Distribute -0.5 into the parentheses

= -0.5×0.8+(-0.5)×8y

= -0.4+(-4y)

A negative and a positive make a negative

= -0.4-4y

I hope this helps!

6 0
3 years ago
5+4*4 divided by 2-3 whole solution pls
oksano4ka [1.4K]

Answer:

10

Step-by-step explanation:

PEMDAS

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

5+4*4/2-3

5+4=9

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Multiply and divide from left to right.

9*4=36

36/2-3

36/2=13

13-3=10

10 is the correct answers.

7 0
3 years ago
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