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Slav-nsk [51]
4 years ago
7

Rewrite square root of -49 -4 in complex number notation please help

Mathematics
1 answer:
SVEN [57.7K]4 years ago
4 0

Note that if i^2=-1 than i=\sqrt{-1},

Also note that \sqrt{ab}=\sqrt{a}\sqrt{b}

So we have,

\sqrt{-49}=\sqrt{-1}\sqrt{49}=\boxed{7i}

and,

\sqrt{-4}=\sqrt{-1}\sqrt{4}=\boxed{2i}

Hope this helps.

r3t40

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I need help can y'all help please
BartSMP [9]
Your domain is all positive numbers, and your range is all numbers. this is because no matter what you plug in for y, x will only ever get extremely close to 0, but never reach it or go below it, and if you put in large values of y x will get very big. 

7 0
3 years ago
The product of two consecutive positive integers is 132. What are the integers?
alina1380 [7]

Answer:

The integers are 11 and 12

Step-by-step explanation:

11 and 12 are consecutive positive integers, and 11 x 12 = 132.

5 0
3 years ago
30 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP
Mekhanik [1.2K]

Answer:

<em>4a ) Difference ⇒ $ 63.24,</em>

<em>4b ) 4 children</em>

Step-by-step explanation:

4a ) If the number of children is represented by the value of x, let us substitute a family of 2 children as value of x into this equation we are given;

y = 21.08 * ( 2 ) + 85.15 ⇒ Multiply 21.08 by 2,

y = 42.16 + 85.15 ⇒ Combine like terms,

y = 127.31

If y ⇒ amount spent on grocery's, let us solve for the amount spent on 5 children, and subtract from this amount;

y = 21.08 * ( 5 ) + 85.15 ⇒ Multiply 21.08 by 5,

y = 105.4 + 85.15 ⇒ Combine like terms,

y = 190.55

Difference; 190.55 - 127.31 = 63.24,

<em>Solution; Difference ⇒ $ 63.24</em>

4b ) If the amount is $ 169.47, let us plug it into our given equation provided amount spent on groceries ⇒ y;

169.47 = 21.08x + 85.15 ⇒ Subtract 85.15 from either side of equation,

21.08x = 84.32 ⇒ Divide either side 21.08,

x = 4 children

<em>Solution; 4 children</em>

5 0
3 years ago
In a division of a company, 15% of the women and 25% of the men are working on a project. 60% of the division are women. what pe
lord [1]
19%  
In the division, 60% are women and 100%-60% = 40% are men. And for this project, we have 15% of the women, or 15%*60% = 9% of the personal and 25% of the men or 25% * 40% = 10% of the personal working on the project. Therefore 9% + 10% = 19% of the division is working on the project.
5 0
3 years ago
An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows
Vlada [557]

<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

  • where m = slope of the relation.

  • and c = <em>intercept = the initial fee charged by the electric company</em>.

  • y = <em>Monthly charge at each time</em>.

  • x = Usage

To find the slope;

  • m = (y2 - y1)/(X2 - x1)

  • m = (28 -22)/(150 - 100)

  • m = 6/50

  • m = 0.12.

By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

  • 82 = 0.12(600) + c.

  • C = 82 -72

  • C = $10.

Therefore, the initial fee charged by the electric company is; C = $10.

Read more:

brainly.com/question/22163485

8 0
3 years ago
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