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stich3 [128]
2 years ago
11

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

Mathematics
1 answer:
lawyer [7]2 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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Is this multiple choice?
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2 years ago
A 90% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from
Elis [28]

Answer:

The correct option is a) True

Step-by-step explanation:

Consider the provided statement.

A 90% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 90% of these intervals would contain the true parameter

First understand what is 90% confidence interval.

The level of confidence describes the uncertainty associated with a method of sampling.

A confidence level of 90 percent means that we would expect the population parameter to be included in 90 percent of the interval estimates.

From the above definition of confidence level we can concluded that the provided statement is true.

Hence, The correct option is a) True

7 0
2 years ago
There are two pizzas. Conor ate 1⁄4 of a pizza, Brandon 2⁄8, Tyler 3⁄4, and Audrey 4⁄8. Who ate the most of the two pizzas?
Semenov [28]
Not exactly sure, but just by my knowledge and common sense I'd say Tyler. He ate 3/4 so he ate most out of what was given to him. 
8 0
2 years ago
Show all work to multiply (6+square root -64)(3-square root -16)
Hunter-Best [27]

Answer:

50

Step-by-step explanation:

- 8i = √-64

8i + 6

- -4i = -√-16

-4i + 3

[8i + 6][-4i + 3] → FOIL

>> -32i² + [24i - 24i] + 18

↑ ↑

-1 0

>>> 32 + 18 = 50

Information on Imaginary Numbers

√-1 = i

-1 = i²

-i = i³

1 = i⁴ [And every other exponent that is a multiple of 4; this cycle then repeats itself every time you go up one number at a time]

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

7 0
2 years ago
Read 2 more answers
(-15,-6), (8,3) Find the slope of the line through each pair of points?
lukranit [14]

Slope is equal to the change in

y

over the change in

x

, or rise over run.

m = change in y / change in x

The change in

x

is equal to the difference in x-coordinates (also called run), and the change in

y

is equal to the difference in y-coordinates (also called rise).

m = y^2 - y^1 / x^2 x^1

Substitute in the values of

x

and

y

into the equation to find the slope.

m

=

3

−

(

−

6

)

8

−

(

−

15

)

Simplify.

Simplify the numerator.

Tap for more steps...

m

=

9

8

−

(

−

15

)

Simplify the denominator.

Multiply

−

1

by

−

15

.

m

=

9

8

+

15

Add

8

and

15

.

m

=

9/23

8 0
2 years ago
Read 2 more answers
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