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qwelly [4]
3 years ago
15

Find the additive inverse of -7+5i.

Mathematics
1 answer:
Deffense [45]3 years ago
4 0

Answer:

Required additive inverse is -7-5i.

Step-by-step explanation:

Given number is -7+5i.

Now we need to find about what is that additive inverse of the given number -7+5i.

We know that if complex number is a+bi then it's additive inverse is given by a-bi.

Basically we need to change the sign of imaginary term.

imaginary term in given number -7+5i is +5i.

Changing sign of +5i gives -5i.

Hence required additive inverse is -7-5i.

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20f? Perimeter is simply all sides added up together.
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What's the 7th number of pi ???
maks197457 [2]
3.14159265359
So the 7th number would be 2.
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Write the equation of the line that contains the point (−2, -9) and is 4) Parallel to y = 8x + 7 5) Perpendicular to y = 8x + 7
bearhunter [10]

Answer:

a. y = 8x + 7

b. 8y = -x-74

Step-by-step explanation:

Here, we want to write the equation of a line which is parallel to y = 8x + 7 and passes through the given point

Since the line we want to write the equation is parallel to y = 8x + 7, it means that they have the same slope

Mathematically we can write the equation of a line as y = mx + c where m is the slope. Comparing this with y = 8x + 7, our slope is therefore 8

Now, the slope of our new line is also 8

We now make use of the point slope method to write the equation

Mathematically the point slope method is;

y-y1 = m(x-x1)

where our (x1,y1) = (-2,-9)

y-(-9) = 8(x -(-2))

y + 9 = 8(x + 2)

y + 9 = 8x + 16

y = 8x + 16-9

y = 8x + 7

For the second line, it is perpendicular to y = 8x + 7

Here too, we have the slope as 8

Now since they are perpendicular, it means that the product of the slopes is equal to -1

m1 * m2 = -1

8 * m2 = -1

m2 = -1/8

Now;

y-y1 = m(x-x1)

our point still remains same (-2,-9)

y-(-9) = -1/8 (x -(-2))

y + 9 = -1/8(x + 2)

8(y + 9) = -1(x + 2)

8y + 72 = -x -2

8y = -x -2-72

8y = -x-74

4 0
3 years ago
PLEASE HELP TRYING TO MAKE HONOR ROLL
maria [59]

Answer:

Hulian's age is 7.

Thomas's age is 22.

Step-by-step explanation:

Let Hulian = h

Let Thomas = t

Set the system of equation:

h = t - 15

h + t = 29

Plug in t - 15 for h in the second equation:

(t - 15) + t = 29

Simplify. Combine like terms:

2t - 15 = 29

Isolate the variable, t. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides:

2t - 15 (+15) = 29 (+15)

2t = 44

Divide 2 from both sides:

(2t)/2 = (44)2

t = 44/2

t = 22

Plug in 22 for t in one of the equations:

h = t - 15

h = 22 - 15

h = 7

Hulian's age is 7.

Thomas's age is 22.

~

7 0
3 years ago
What are the blank numbers for 16, 17, 18, and 19
Natasha_Volkova [10]

Answer:

16: 0.5, 5, 7.5

17: 62, 434, 682

18: 12.3, 62.5, 10

19: 1, 75, 300

Step-by-step explanation:

16: 9/18=0.5 so halve the numbers

17: 186/3=62 so multiply numbers by 62

18: 24.6/2= 12.3 so multiply by 12.3 and divide for the last one

19: 125/5=25 so for the first one divide by 25 and for the last two times by 25

8 0
2 years ago
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