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stich3 [128]
3 years ago
11

Which is the additive inverse of the complex number -8+3i?

Mathematics
1 answer:
lawyer [7]3 years ago
3 0
The additive inverse of a complex z is a complex number -z, so that

\mathsf{z+(-z)=-z+z=0+0i=0}


Finding -z:

\mathsf{z=-8+3i}\\\\\\ \mathsf{z+(-z)=0+0i}\\\\\ \mathsf{-8+3i+(-z)=0+0i}\\\\ \mathsf{-z=0+0i+8-3i}\\\\ \mathsf{-z=(0+8)+(0i-3i)}\\\\ \boxed{\begin{array}{c}\mathsf{-z=8-3i} \end{array}}\qquad\checkmark


If you're having problems understanding this answer, try seeing it through your browser: <span>brainly.com/question/2159647


</span>I hope this helps.


Tags: <em>complex number additive inverse opposite algebra</em>

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clint has 6 apple muffins, 2 corn muffins, and 4 bran muffins what fraction of muffins are bran weite the fraction in simplest f
Feliz [49]

Answer:

\frac{1}{3}

Step-by-step explanation:

The fraction of bran muffins is expressed as bran muffins over total muffins.

Total muffins = 6 + 2 + 4 = 12 and bran muffins = 4, thus

fraction = \frac{4}{12} ← divide ( cancel ) each value by 4 )

fraction = \frac{1}{3} ← in simplest form

6 0
3 years ago
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An expression is shown.
Veseljchak [2.6K]

Answer:

3x + y - 3

Step-by-step explanation:

<u>Like Terms</u>: In algebra, like terms are terms that have the same variables and powers.

To simplify this expression and get an expression that is eual to 5x + 3y - 2x - 2y - 3 I used <em>like terms</em> :

(5x - 2x) + (3y - 2y)

(5x - 2x = <em>3x</em>) + (3y - 2y = <em>1y or y</em>)

3x + y

Then we add the <em>- 3 </em>at the end giving us:

<u><em>3x + y - 3</em></u>

6 0
3 years ago
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At a farm, there are two huge pits for storing hay. 90 tons of hay is stored in the first pit, 75 tons in the second pit. Then,
Travka [436]

Answer:

63 tons

Step-by-step explanation:

The problem statement asks for the tons of hay removed from the first pit. It is convenient to let a variable (x) represent that amount. This is said to be 3 times the amount removed from the second pit, so that amount must be x/3.

The amount remaining in the first pit is 90-x.

The amount remaining in the second pit is 75 -x/3.

Since the first pit remaining amount is half the second pit remaining amount, we can write the equation ...

... 90 -x = (1/2)(75 -x/3)

... 180 -2x = 75 -x/3 . . . . multiply by 2

... 105 - 2x = -x/3 . . . . . . subtract 75

... 315 -6x = -x . . . . . . . . multiply by 3

... 315 = 5x . . . . . . . . . . . add 6x

... 63 = x . . . . . . . . . . . . . divide by 5

63 tons of hay were taken from the first pit.

_____

<em>Check</em>

After removing 63 tons from the first pit, there are 27 tons remaining. After removing 63/3 = 21 tons from the second pit, there are 54 tons remaining. 27 is half of 54, so the answer checks OK.

6 0
3 years ago
Need answers ASAP
Ilia_Sergeevich [38]
Sphere = 4/3 πr^3

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6 0
2 years ago
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There are two numbers. the sum of the larger number and three times the smaller number is 14. the larger number is two more than
MatroZZZ [7]
First, you have to give each a variable. In this case, the smaller number will be x and the larger number will be y.

Next, you need to make the equations. Your equations are:
y+3x=14
x+2=y

What you're solving for is y because the questions asks what the larger number is.

Then, substitute. It will be this after substituted:

x+2+3x=14

Combine like terms.

4x+2=14

Subtract by 2 on both sides.

4x=12

Divide by 4 on both sides.

x=3

^This what your smaller number is but you can easily find what y (the larger number) is. Substitute x into the other equation, which is basically adding 2 to 3.

y=5

(D)

5 0
3 years ago
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