Write the conjugate of the following complex
number:
-6i

Answers

Answer 1

Answer:

[tex]6i[/tex]

Step-by-step explanation:

We want to write the conjugate of the complex number:

[tex]-6i[/tex]

Recall that the conjugate of a complex number in the form a + bi is a - bi, and vice versa.

We can rewrite our complex number as:

[tex]\displaystyle 0 - 6i[/tex]

Hence, a = 0 and b = 6.

Then its conjugate will be:

[tex]0 + 6i = 6i[/tex]


Related Questions

Please help!
3x – 4 = = 35

Answers

Answer:

13

Step-by-step explanation:

3x13-4=35 Hope this helps

Step-by-step explanation:

Hope it helps.

Thank you

What is the mean of the data set rounded to the nearest tenth?


0.7 1.1 0.8 1.6 1.6 2.2 1.1

Answers

Answer:

1.3

Step-by-step explanation:

Mean is the average of data set:

μ = (0.7 + 1.1 + 0.8 + 1.6 + 1.6 + 2.2 + 1.1)/7 = 1.3

Mean

[tex]\\ \rm\leadsto \dfrac{\sum n}{n}[/tex]

[tex]\\ \rm\leadsto \dfrac{0.7+1.1+0.8+1.6+1.6+2.2+1.1}{7}[/tex]

[tex]\\ \rm\leadsto 1.3[/tex]



The width of a rectangle
is 11 feet longer than the
length. The perimeter of the The rectangle is 70 feet. Find the length and the width.

Answers

Answer:

Hello! The answer to this problem is Length= 27 and Width= 8

Step-by-step explanation:

2(11+2x) +2x = 70

6x + 22 = 70

6x = 48

x = 8

Answer:

Length = 23 feet and width = 12 feet.

Step-by-step explanation:

The width (W) = x and the length (L)  is x+11 feet   (length must be longer than width).

Perimeter = 2W + 2L = 70

2x + 2(x + 11) = 70

2x + 2x + 22 = 70

4x + 22 = 70

4x =- 70 - 22 = 48

x = 12 = width

So length = 12 + 11 = 23.

-5c+5c+2c–6c–12c-16 16=c

Answers

Step-by-step explanation:

-5c+5c+2c–6c–16=c

-16c - 16=c

-16 = c + 16c

-16 = 17c

-16/17 = c

Dave has $15 to spend on an $8 book and two
birthday cards (c) for his friends. How much can
he spend on each card if he buys the same card
for each friend?

Answers

Answer:

yesjndndkkwkdkdndkiskdn

Answer:

3.50 on each cuz 15-8=7 and 7÷2= 3.5 or 3.50

the expression for perimeter of a rectangle
with a length of (x + 7) and a width of (2x)

Answers

Answer:

P = 6x + 14

Step-by-step explanation:

P = 2l + 2w

where P is perimeter, l is length, and w is width

l = x + 7

w = 2x

So P = 2(x+7) + 2(2x)

Distribute the 2 to the x and 7.

P = 2*x + 2*7 + 2*2x

Multiply each term out

P = 2x + 14 + 4x

Group the xs

P = 2x + 4x + 14

Combine like terms

P = 6x + 14

(3/5) + (-6/7)+(-2/5)+(3/14) find

Answers

Answer:

[tex] \frac{ - 31}{70} [/tex]

Step-by-step explanation:

[tex] \frac{3}{5} + ( \frac{ - 6}{7} ) + ( \frac{ - 2}{5} ) + \frac{3}{14} [/tex]

[tex] = \frac{42 + ( - 60) + ( - 28) + 15}{70} [/tex]

[tex] = \frac{42 + 15 - 60 - 28}{70} [/tex]

[tex] = \frac{57 - 88}{70} [/tex]

[tex] = \frac{ - 31}{70} (ans)[/tex]

Please answer this ASAP NO PHOTOS PLEASE

Answers

Answer: 1cm cubed

Step-by-step explanation:

Cube Formula = L x W x H

= 1 x 1 x 1

= Volume of cube

= 1cm cubed

Please I need help ASAP, I don’t understand anything and it’s due tomorrow

Answers

Answer:

Alright, here we go.

11. Those are vertical angles.  All vertical angles are equal.

6x + 7 = 8x - 17

2x = 24

x = 12

12. Those are linear angles (adjacent angles on a line).  Linear angles = 180.

(11x - 15) + (5x - 13) = 180

16x - 28 = 180

16x = 208

x = 13

13. If BD is perpendicular to AC, that means ∠ABD and ∠CBD = 90°.  ∠CBD is made up of angle DBE, which equals (2x - 1)° and angle CBE, which equals (5x - 42)°.  

(5x - 42) + (2x - 1) = 90

7x - 43 = 90

7x = 133

x = 19

14. Angles PQS and SQR are equal and halves of angle PQR because of bisector QS.  If PQR = 82°, angle PQS = 41°

10x + 1 = 41

10x = 40

x = 4

15. If the bottom angle is (x + 10)°, then the top angle is also (x + 10)° because they're vertical angles.  Angle (x + 10) and angle (10x - 61) are linear  angles, so they equal 180.

(x + 10) + (10x - 61) = 180

11x - 51 = 180

11x = 231

x = 21

As for y, insert 21 as x for (10x - 61).  

10(21) - 61

210 - 61

149

(18y + 5) should also equal 149° bc of vertical angles.

18y + 5 = 149

18y = 144

y = 8

x = 21

y = 8

(16 is crossed off so I'm going to assume you're not doing that one.)

17. If angle MNQ = (8x + 12)°, and it's bisected by NP, we can say that angles MNP and PNQ are equal halves of  (4x + 6)°.  Now, we were told that angle PNQ = 78°.

4x + 6 = 78

4x = 72

x = 18

This means that angle MNQ = 78 x 2, which is 156.

Now to find y, we see that angles MNQ and RNM are linear angles, so we can say:

(3y - 9) + 156 = 180

3y - 9 = 24

3y = 33

y = 11

x = 18

y = 11

(This took a while.)

Picture shown!

If
f(x) = x^2+ 2x - 4
and
g(x) = 3x + 1
Find
g(f(x)) = [ ? ]x^2+ [ ? ] + [ ? ]

Answers

Answer:

3x^2+6x-11

Step-by-step explanation:

g(f(x)) = g(x^2+2x-4) = 3(x^2+2x-4)+1 = 3x^2+6x-11

An article is sold for Rs 500 at 25% gain. If an article is sold for Rs.250. What is loss percentage?

Answers

Answer:

The loss percentage is 37.5%

Step-by-step explanation:

Cost Price = 500 × 100/125 = 400

New selling price = Rs. 250 ⇒ Loss = 400 – 250 = 150

Loss percentage = 100 × 150/400 = 37.5%.

I wrote a cheque for $10 and he threw my 2 dollar how much do I have left​

Answers

Answer:

you have $ 8

Step-by-step explanation:

cheque wrote ,=$10

and he threw =$2

then total $ left will be $8

please mark me brainleast

Which of the following is a point of tangency on the circle below?

Answers

Answer:

Answer D but read below.

Step-by-step explanation:

The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.

Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.

However I think you are expected to answer F which is answer D.

Answer:

The answer is D.

Step-by-step explanation:

I learned it in school.

Find the area of the shape below
PLEASE HELP I NEED TO FINNISH THIS, I DO NOT HAVE MUCH TIME LEFT PLEASE HELPPPPPPPPPPP Thank you :)

Answers

Answer:

46.875

Step-by-step explanation:

A= l x w x h so you multiple all three numbers together and get your answer

Which angle between –180° and 0 has the same cosine value as 275°

Answers

Answer:

cos (-85°)

Step-by-step explanation:

[tex] \cos(275 \degree) [/tex]

since cosine is in fourth quadrant:

[tex] \cos(275 \degree) = \cos( \{360 \degree - 275 \degree \}) \\ = \cos( - 85 \degree) [/tex]

-85° is the angle between –180° and 0° that has the same cosine value as 275°.

What is cosine?

Cosine is the trigonometric function that is equal to the ratio of the side adjacent to the acute angle in a right angled triangle.

Mathematically,

            Cos = Base/Hypotenuse

Now, to calculate cos(275) we have to first determine the quadrant of the given angle.

Since our angle is greater than 270 and less than or equal to 360, it is located in the Quadrant IV.

In the Quadrant IV, the values of cos are always positive.

275 is an obtuse angle so we can write,

Cos(275) = Cos{360+(-85)}

∵ Cos(360+θ) = Cosθ

∴ Cos{360+(-85)} = Cos(-85)

Cos(275) = Cos(-85)

The required answer is cos(275) = cos(-85)

Hence, -85° is the angle between –180° and 0° that has the same cosine value as 275°.

More about cosine function :

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What’s m=y2-y1 divided by x2-x1 for Y2

Answers

Answer:

slope formula

Step-by-step explanation:

if (y-b)÷(x-a)=m, then x is equal to

Answers

Step-by-step explanation:

[tex] \frac{(y - b)}{(x - a)} = m \\ y - b = m(x - a) \\ y - b = mx - am \\ mx = y - b + am \\ x = \frac{y - b + am}{m} [/tex]

Evaluate the expression

(x + 3)(y - 2) , if x = -2, and y= 6

Answers

Answer:

The answer is 4

Step-by-step explanation:

Given,

[tex]x=-2,\,y=6[/tex]

Now, the expression

∴[tex](x+3)(y-2)\\=>(-2+3)(6-2)\\=>(1)(4)\\4[/tex]

hope you have understood this...

pls mark my answer as the brainliest

2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.

Please answer fast step by step. I will mark the best answer as brainliest. ​

Answers

Answer:

Step-by-step explanation:

[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]

[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]

Evaluate the following expression

Answers

H ;-)

x = -3 and y = -2

2x² - 5xy - y³ =

= 2 · (-3)² - 5 · (-3) · (-2) - (-2)³ =

= 2 · 9 - 30 - (-8) = 18 - 30 + 8 =

= -12 + 8 = -4

Answer:

[tex]2 {x}^{2} - 5xy - {y}^{3} \\ x = - 3 \\ y = - 2 \\ 2 { (- 3)}^{2} - 5 \times - 3 \times - 2 - { (- 2)}^{3} \\ 2 \times 9 + - 30 - - 8 \\ = 18 - 30 + 8 \\ = - 4 \\ thank \: you[/tex]

Paul, Than, and Mike have each consumed four beers in the last two hours. Paul weighs 220 pounds, Than weighs 155 pounds, and Mike weighs 197 pounds. Who has the highest blood alcohol concentration (BAC)

Answers

Answer:

Than would

Step-by-step explanation:

since he has the lowest weight then the alcohol concentration has less place to go making his higher.

Please help me with this! Write the equation of the line in fully simplified slope intercept form. Explanation and answer please ^^

Answers

Answer:

y = -1/2x - 8

Step-by-step explanation:

y = -1/2x - 8

y=-1/2x-8 would be your answer

how do you find a positive/negative interval?

Answers

Answer:

we need to see that weather it is in positive form or negative form

positive means add

negative means subtract

2a+3 =(6 + 4a)
Is it true or false

Answers

Answer:

false

I hope it's helps you

Answer:

[tex]2a + 3 = (6 + 4a) \\ \\ it \: is \: false[/tex]

Use the story graph of each problem to fill in the blanks of the following sentence frames below.

In problem #1 the motion of the objects starts at ___ seconds and ends at ___ seconds.

The motion of the objects starts at ___ meters and ends at ___ meters.

The objects traveled ___ meters in ____ seconds.

In problem #2 the motion of the objects starts at ___ seconds and ends at ___ seconds.

The motion of the objects starts at ___ meters and ends at ___ meters.

The objects traveled ___ meters in ____ seconds.

Answers

I DONT KNOW WHAT THE ANSWER IS REALLY

i need help asap can one of yall help me !

Answers

Answer:

(2,-1)

Step-by-step explanation:

x^2-y^2-z^2 factorise​

Answers

Answer:

2(x-y-z)

Step-by-step explanation:

take common fromm all of those terms

The expression (4c − 3d)(3c + d) is equivalent to:
A. 12c2 − 13cd − 3d2
B. 12c2 − 13cd + 3d2
C. 12c2 − 05cd − 3d2
D. 12c2 − 05cd + 3d2
E. 12c2 − 03d2

Answers

(4c - 3d)(3c + d) =

= 12c² + 4cd - 9cd - 3d² =

= 12c² - 5cd - 3d²

The expression (4c − 3d)(3c + d) is equivalent to 12c² - 5cd - 3d²

(4c − 3d)(3c + d)

Open the bracket

12c² + 4cd - 9cd - 3d²

Collect like terms

12c² - 5cd - 3d²

Hence, the equivalent value of the expression is : 12c² - 5cd - 3d²

Learn more : https://brainly.com/question/18109354

20 labourers complete the construction of a building in 24 days.in how many days would 16 labourers complete the work in 12 days ?​

Answers

Answer:

Step-by-step explanation:

If Caleb bought 1.2 pounds of cheese that was selling for 5.95 per pound. How much did Caleb pay for the cheese.​

Answers

Answer:

$7.14

Step-by-step explanation:

If each pound of cheese is $5.95. You just have to find out how much 1.2 pounds is worth. So, you multiply 5.95 times 1.2 pounds and you'll get $7.14

Multiplication is the process of multiplying. The total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the rate of cheese per pound is $5.95 per pound. Therefore, the amount that Caleb needs to make for 1.2 pounds of cheese is,

Total Amount = $5.95/pound × 1.2 pounds

                       = $7.14

hence, the total amount that Caleb needs to make for 1.2 pounds of cheese at a rate of $5.95 per pound is $7.14.

Learn more about Multiplication here:

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