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Travka [436]
3 years ago
9

Find the sum of 10 + 5i and its complex conjugate. Write your answer in the form a + bi

Mathematics
1 answer:
gogolik [260]3 years ago
7 0

Answer:

20.

Given, complex number is 10+5i .

We need to find sum of the given complex number and its conjugate. The conjugate of 10+5i is 10-5i. Therefore, the sum will be 10+5i+10−5i=20.

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Answer:

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Step-by-step explanation:

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3 years ago
Is 60.43 an irrational number
zhuklara [117]

Answer:

No, It is rational

Step-by-step explanation:

An number with a finite number of decimal point/numbers can be rational unlike numbers that repeat on forever like the number pi

4 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Chuge%7B%5Cgreen%7D%5Cfcolorbox%7Bblue%7D%7Bcyan%7D%7B%5Cbf%7B%5Cunderline%7B%5Cred%7B%5C
MariettaO [177]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's find out the gradient (Slope " m ") of line q ;

\qquad \sf  \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}

\qquad \sf  \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}

\qquad \sf  \dashrightarrow  \:m =  - 4

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

\qquad \sf  \dashrightarrow \:y - 4 = m(x - 0)

\qquad \sf  \dashrightarrow \:y = mx + 4

Now, plug in the value of gradient ~

\qquad \sf  \dashrightarrow \:y =  - 4x + 4

here we can clearly observe that, the Area under the curve can easily be represented as :

\qquad \sf  \dashrightarrow \:y <  - 4x + 4

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

5 0
2 years ago
Subtract: 2x2 - 4x - 3 from x2 - 5x - 8.
VladimirAG [237]
X^2 - 5x - 8 - <span>2x^2 + 4x + 3
= -x^2 - x - 5 

hope that helps</span>
7 0
3 years ago
Read 2 more answers
A 27 1⁄2-mile stretch of road needs repaving. A company bid on the repaving project, saying they would repave 2 1⁄4 miles of roa
Umnica [9.8K]

Answer:

The correct answer is 12 and a half or 13 weeks.

Step-by-step explanation:

First, convert the values to decimals.

27 1/2 = 27.5

2 1/4 = 2.25

Then, divide miles of road that need to be repaved by the number of miles that are repaved per week.

27.5/2.25 = 12.2222222222222

Round that up to 12 and a half weeks or 13 weeks.

8 0
3 years ago
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