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bezimeni [28]
2 years ago
3

Select the correct answer from the choices given

Mathematics
2 answers:
OLga [1]2 years ago
8 0

Answer:

n=-13 - 4i

Step-by-step explanation:

Hello!

Briefly, a complex number is one that is composed of a real component, and an imaginary component which is accompanied by the letter i which means the square root of -1.

To solve this problem we must subtract on both sides of the equation the imaginary part and the real part of this complex number in order to leave the number alone, as I show you below

13 + 4 i + n =0

we substract on both sides of ecuation to keep the equality ( -13-4i)

-13-4i+13+4i+n=-13 - 4i

(-13+13)+(4i-4i)+n=-13 - 4i

n=-13 - 4i

storchak [24]2 years ago
3 0

Answer:

Option D.

Step-by-step explanation:

(13 + 4i) is a complex number which has a real part 13 and 4 as an imaginary part. Value of 'i' is considered as \sqrt{-1}.

Now the equation given in the question is (13 + 4i) + n = 0

which represents a complex number (13 + 4i) has been added to n but the sum of both is zero.

That means n is also an imaginary number having opposite sign.

So, n = -(13 + 4i)

n = -13 - 4i

Therefor, Option D. will be the answer.

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Can anyone help me with this?
Maurinko [17]

Answer:

D. -6m²n² + 10m²n + 8mn² - 10mn

Step-by-step explanation:

(-7mn + 8mn² - 8m²n²) + (10m²n + 2m²n² - 3mn)

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Combine like terms together and arrange in standard form

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5 0
2 years ago
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap
Bond [772]

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

y-1=-\frac{2}{5}(x+5)

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2

The co-efficient of x is the slope of the line

So,

m= -\frac{2}{5}

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

y=m_1x+b

Putting the value of slope

y=\frac{2}{5}x+b

Putting (-5,1) in the equation to find the value of b

1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1

Putting the values of slope and b in equation

y=-\frac{2}{5}x-1

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

y-y_1=m(x-x_1)

Putting the values of slope and point in the equation, we get

y-1=-\frac{2}{5}(x+5)

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

y-1=-\frac{2}{5}(x+5)

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

  • brainly.com/question/4464845
  • brainly.com/question/4522984

#LearnwithBrainly

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