what is 2/3i-3 simplified?

Answers

Answer 1
This is division of 2 complex numbers.


2__ =
3 - i

Multiply both numerator and denominator by conjugate number of the denominator.

2 * 3+ i =
3 - i 3 +i
separate the rational and irrational numbers from
each other


6 + 2i = 3 + 1 i
10 5 5

This is also division of 2 complex numbers into each other.

Related Questions

PLLLZZ HELP ASAP! 10 PTS!!

Answers

Answer:

18.3303

Step-by-step explanation:

8x8 = 64

20x20=400

64-400= 336

√336 = 18.3303027798

or 18.3

18.3
It’s the right answer

From the given equation, list the values of A, B, and C when put into
standard form. 6y - 2x = 5

A = -2, B = 6, C =5
A = 2, B = 6, C = 5
A = 2, B = -6, C = -5

Answers

Rewriting in standard form puts the x variable before the y variable:

-2x + 6y = 5

A is the value with x, B is the value with y and c is after the equal sign.

A = -2, B =6, C= 5

I just wanna know how I solve this: "Select the division equation that can be used to find the solution to the problem. 4/9 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost? "

Answers

9514 1404 393

Answer:

  $4.50

Step-by-step explanation:

To find cost per kilogram, divide the cost by the number of kilograms it corresponds to.

  ($2)/(4/9 kg) = (2)(9/4) $/kg = $4.50 /kg

1 kilogram costs $4.50.

Find the slope of the line passing through (-9,3), (-3,-5)

Answers

Answer:

-4/3

Step-by-step explanation:

Slope: (y2-y1)/(x2-x1)

(-5-3)/(-3+9) = -8/6 = -4/3

The slope is -4/3

110 meters of fencing are used to fence a rectangular pasture of 750 square meters of farmland. If the length of the pasture is longer than the width, what is the width of the pasture in meters?

Answers

Answer:

25m

Step-by-step explanation:

Perimeter of the rectangular pasture P = 2(L+W)

Area A = LW

L is the length

W is the width

Given

Perimeter = 110m

Area = 750m

If the length of the pasture is 40m longer than the width, then L = W+40

110 = 2L+2w

55 = L+W .....1

750 = LW.....2

Solving simultaneously

from 1; L = 55-W

substitute into 2;

750 = (55-W)W

750 = 55W-W²

-W²+55W -750 = 0

W²-55W+750 = 0

(W²-25W)-(30W+750) = 0

W(W-25)-30(W-25) = 0

(W-25)(W-30) = 0

W-25 = 0 and W-30 = 0

w = 25m and 30m

Since L = 55-W

L = 55-25 = 30m and;

L = 55-30 = 25m

Since we are told that length id longer than the width then, the width we are going to use is 25m

Which of the following is a factor of f(x)=4x^3+11x^2-75x+18

Answers

Answer:

f(x)=(4x−1)(x−3)(x+6)

Step-by-step explanation:

What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0​

Answers

Answer:

ANSWER : 8  A_P_E_X

Step-by-step explanation:

Plug the radius and the center point into the equation, and convert it to general form to get your answer.

what value of P makes the equation true

-3p+1/8= -1/4​

Answers

Step-by-step explanation:

Hey there!

Given;

-3p + 1/8 = -1/4

Simplify it to get the value of"p".

[tex] - 3p + \frac{1}{8} = - \frac{1}{4} [/tex]

[tex] \frac{ - 24p + 1}{8} = \frac{ - 1}{4} [/tex]

[tex] 4(- 24p + 1) = - 1 \times 8[/tex]

[tex] - 96p + 4 = - 8[/tex]

[tex] - 96p = - 8 - 4[/tex]

[tex]p = \frac{ - 12}{ - 96} [/tex]

[tex]p = \frac{ 1}{8} [/tex]

Therefore, p = 1/8.

Check:

-3*1/8 +1/8 = -1/4

-3/8+1/8= -1/4

-1/4 = -1/4

Therefore, the value of "p" must be (1/8) to satisfy the equation.

Hope it helps...

Proportions answer pls

Answers

Answer:

Y equals -1/5

Answer:

y = -0.2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

[tex]\frac{3.6}{0.2(6y + 1)} =\frac{9}{0.5y}[/tex]

Step 2: Solve for y

Distribute 0.2:                              [tex]\frac{3.6}{1.2y + 0.2} =\frac{9}{0.5y}[/tex]Cross-multiply:                             [tex]9(1.2y + 0.2) =3.6(0.5y)}[/tex]Distribute:                                    [tex]10.8y + 1.8 =1.8y[/tex]Subtract 1.8y on both sides:       [tex]9y + 1.8 =0[/tex]Subtract 1.8 on both sides:         [tex]9y = -1.8[/tex]Divide both sides by 9:               [tex]y = -0.2[/tex]

Step 3: Check

Plug in y to verify it's a solution.

Substitute:                    [tex]\frac{3.6}{0.2(6(-0.2) + 1)} =\frac{9}{0.5(-0.2)}[/tex]Multiply:                        [tex]\frac{3.6}{0.2(-1.2 + 1)} =\frac{9}{-0.1}[/tex]Add:                              [tex]\frac{3.6}{0.2(-0.2)} =\frac{9}{-0.1}[/tex]Multiply:                        [tex]\frac{3.6}{-0.04} =\frac{9}{-0.1}[/tex]Divide:                          [tex]-90=-90[/tex]

Here we see that -90 does indeed equal -90. ∴ y = -0.2 is indeed a solution of the equation.

please answerrrr

simplify (-2)^4(-2)

Answers

Answer:

-32

Step-by-step explanation:

(-2)^4(-2)

-2x-2x-2x-2

16(-2)

-32

Violet is trying to start an Intramural Club at her school. The principal tells her she must get signatures from students to show support. Each filled sheet contains 25 signatures. By Monday, she and her friend already have 6 sheets filled with signatures. The principal tells Violet she must have 7 more sheets filled with signatures. Write an equation for the number of signatures Violet will get. If she fills all of these, how many signatures will she get in all?

Answers

Answer:

325

Step-by-step explanation:

Let s represent sheets

Let x represent number of signatures needed

s = 25 signatures

6s + 7s = x

Plug in the function

6(25) + 7(25)

= 150 + 175

= 325

x = 325

In total she will need 325 signatures

Manuel y Carlos encuentran un libro de matemática usado y en una de las hojas se observa la figura de un poliedro demasiado borrosa, pero se ven algunos datos sobre él que dicen: El poliedro tiene 12 aristas y la suma de su número de caras con su número de vértices es 14. Manuel afirma que se trata de un dodecaedro y Carlos dice que es un cubo. ¿Quién de ellos tiene la razón?

Answers

Answer:

Carlos tiene razón. El poliedro es un cubo.

Step-by-step explanation:

Comencemos analizando el número de caras del dodecaedro y del cubo.

El dodecaedro está conformado por 12 caras.

El cubo en cambio, está conformado por 6 caras.

En cuanto a aristas el dodecaedro tiene 30 aristas y en cambio el cubo tiene 12. Por ende, descartamos la idea de que el poliedro sea un dodecaedro.

Finalmente en cuanto a vértices, el dodecaedro tiene 20 vértices y el cubo tiene 8 vértices.

Si sumamos el número de caras y el número de vértices en el cubo obtenemos :

6 + 8 = 14

Con esto, verificamos que la figura borrosa es de un cubo y que Carlos tiene razón.


I just need the answer to number 2

Answers

Answer:

79°

( vertically opposite angles are equal. So, <AOB = < A'OB' )

Answer:

∠ A'OB' = 79°

Step-by-step explanation:

∠ AOC = ∠ C'OA' = 35° ( vertical angles )

BOB' is a straight angle , thus

∠ COB' = 180° - (79 + 35)° = 180° - 114° = 66°

C'OC is a straight angle, thus

∠ A'OB' = 180° - (66 + 35)° = 180° - 101° = 79°

what is the answer to -2x+10=40

Answers

Answer:

-15

Step-by-step explanation:

Answer:

x=-15

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve

Jennifer earns $7.60 per hour working after school. She wants to buy a musical instrument and she needs at least $500. Write an inequality that describes how many hours she must work to buy the instrument.

Answers

Answer:

Step-by-step explanation:

let h be the number of hours.

7.60 h≥ 500

76h≥5000

A loaf of sandwich bread contains 24 slices. Which of these tables correctly shows the ratios of different numbers of loaves of bread to the numbers of total slices they contain?

Answers

Answer:

15

Step-by-step explanation: i'm not explaining why

q/2 - p/3 = 1/6
p/2 - q/6 = 5​

Answers

X=59÷3 and y=29

Step-by-step explanation:

Days the answer

Answer:

p = 13, q = 9

Step-by-step explanation:

Given the 2 equations

[tex]\frac{q}{2}[/tex] - [tex]\frac{p}{3}[/tex] = [tex]\frac{1}{6}[/tex] ( multiply through by 6 to clear the fractions )

3q - 2p = 1 → (1)

[tex]\frac{p}{2}[/tex] - [tex]\frac{q}{6}[/tex] = 5 ( multiply through by 6 to clear the fractions )

3p - q = 30 , that is

- q + 3p = 30 → (2)

Multiplying (2) by 3 and adding to (1) eliminates the term in q

- 3q + 9p = 90 → (3)

Add (1) and (3) term by term to eliminate q

7p = 91 ( divide both sides by 7 )

p = 13

Substitute p = 13 into (2) for corresponding value of q

- q + 3(13) = 30

- q + 39 = 30 ( subtract 39 from both sides )

- q = - 9 ( multiply both sides by - 1 )

q = 9

Thus p = 13 and q = 9

Which of the following graphs represents the equation above?

y=1/2x-2

Answers

Answer:

There’s no graphs

Step-by-step explanation:

Answer:

Step-by-step explanation:

Put these into y=mx+b format SHOW YOUR WORK!!!! x-7y=7 and 6x-7y=-28

Answers

Answer:

Explanation:

x - 7y = 7
-7y = -x + 7
y = (-1/-7)x + 7/-7
y = (1/7)x - 1

6x - 7y = -28
-7y = -6x - 28
y = (-6/-7)x - 28/-7
y = (6/7)x + 4
x-7y=7
-x -x (isolate the y by subtracting x on both sides)
-7y= -x+7
— ——-
-7 -7 (Isolate the y by dividing both sides by -7)
Answer : y= 1/7x - 1
6x-7y= -28
-6x. -6x
-7y = -6x -28
—— ———-
-7. -7
Answer : y= 6/7x + 4

What is the product of 6 and one-half and 9 and one-fourth? 15 and three-fourths 54 and StartFraction 1 Over 8 EndFraction 60 and StartFraction 1 Over 8 EndFraction 80 and StartFraction 1 Over 6 EndFraction

Answers

Answer:

(B) 54 1/8

6×9

A bad contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in a bag

Answers

I think that would be 40 correct me if I’m wrong

What is the slope of the following equation? y = -x + 3​

Answers

-x bc 3 is the y- intercept

in a survey of villages, it was found that 25% of the people have visited kaduna and 20% have visited Calabar. if 5% visited both cities, what percentage have visited neither towns​

Answers

Answer:

60% have visited neither town

Help plzzzzzzzzzzzz help me

Answers

Answer:

wow-

Step-by-step explanation:

ngl, thats hard.

A t-shirt increased in price by
1

4
. After the increase it was priced at £85. What was the original price of the t-shirt? I will mark brainless!!

Answers

Step-by-step explanation:

81×1/4

=20.24

this is the answer

Question
Enter an equation in point-slope form for the line.
(2, 4) and (3, 3) are on the line.
An equation of the line in point slope form is:

Answers

Given:

(2, 4) and (3, 3) are on the line.

To find:

The equation of line in point slope form.

Solution:

If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is

[tex]y-y_1=m(x-x_1)[/tex]

(2, 4) and (3, 3) are on the line. So, slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{3-4}{3-2}[/tex]

[tex]m=\dfrac{-1}{1}[/tex]

[tex]m=-1[/tex]

The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is

[tex]y-4=-1(x-2)[/tex]

Therefore, an equation of the line in point slope form is [tex]y-4=-1(x-2)[/tex].

Mrs. Mireles needs to hire landscapers to maintain her yard. Company L charges $250 per month plus $30 per hour. Company S charges $200 per month plus $35 per hour. Which inequality can be used to find x, the minimum number of hours each company would have to work so that the total charges from Company L is less than the total charges from Company S?

Answers

Answer:

10 hours

Step-by-step explanation:

Step one:

given information

Company L charges

monthly charge= $250

hourly charge= $30

let the total charge be y

and the number of hours be x

y=30x+250----------1

Company S charges

monthly charge= $200

hourly charge= $35

let the total charge be y

and the number of hours be x

y=35x+200------------2

Step two:

equating 1 and 2

30x+250=35x+200

collect like terms

30x-35x=200-250

-5x=-50

x=50/5

x=10

10 hours

Pythagoras
(Show work)

Answers

Answer:

x = 10.6

i just used the pythagorean theorem, you can copy my work.

Compare the values.
4x 107 is
?
times as much as 4 x 103.
10^4
4 x 10^10
10^10
4 x 10^4

Answers

Answer:

10^4 times

Step-by-step explanation:

Compare

4*10^7 and 4*10^3

Dividing

4*10^7/4*10^3 = 4/4*10^(7 - 3) = 1*10^4 = 10^4

The first number is 10^4 times as much as the second number

I need help with ANGLES!!!!!!!!!!

Answers

Answer: I see acute, obtuse, and right angle.

Step-by-step explanation:

Answer:

The top left one is equal to 125 degrees because it’s congruent with the 125 degree angle

The bottom left one is equal to 127 because by subtracting the angle of 53 degrees from 180 we get the 2nd angle which is 127.

The top right one is equal to 110 degrees because it’s congruent with the 110 degree angle.

The bottom right one is equal to 80 degrees because by subtracting the angle of 100 degrees from 180 we get 2nd angle which is 80 degrees.
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