Perform the indicated operations. Write the answer in standard form, a+bi.
-4+4i / -3-6i

Answers

Answer 1

Answer:

[tex] \frac{ - 4 + 4i}{ - 3 - 6i} \\ multiply \: and \: divide \: by \: - 3 + 6i \\ \frac{ - 4 + 4i}{ - 3 - 6i} \times \frac{ - 3 + 6i}{ - 3 + 6i} \\ = \frac{ ( - 4 + 4i)( - 3 + 6i)}{ ( - 3 - 6i)( - 3 + 6i)} \\ = \frac{12 - 24i - 12i + 24 {i}^{2} }{ {( - 3)}^{2} - {(6i)}^{2} } \\ = \frac{12 - 24 - 36i}{9 + 36} \\ = \frac{ - 12 - 36i}{45} \\ \frac{ - 36i}{45} + \frac{ - 12}{45} \\ thank \: you[/tex]


Related Questions

what's the area of 89 and 76

Answers

1.)Gcf of 89 and 76

[tex]gcf(89and76)[/tex]

2)step 2

[tex] = \frac{89 \times 76}{lcm(89and76)} [/tex]

3.)step 3

[tex] = \frac{6767}{6767} = 1[/tex]

4.)answer

[tex]1[/tex]

I need a step by step correct answer bc i need to get in this college please help :(

Answers

Answer:

please mark me brainliest

Step-by-step explanation:

-6÷3×2+3÷3

using Bodmas(bracket of division multiplication addition and subtraction)

-2×2+1

-4+1

-3


Angle X measures 110 degrees. If angle X is rotated 60 degrees, what is the measure of angle X'?

Answers

Answer:

170 degrees

Step-by-step explanation:

110+ 60= 170

x angle = 170 degrees

3. When six is added to six times a number the result obtained is the same as when the number is added to 10 and
the result multiplied by 3. Form an equation and solve it to find the unknown number.

Answers

Answer:

Equation x(6+6)=3(10+x)

x=3.33

Step-by-step explanation:

Form an equation:

x(6+6) The result of 6+6 is multiplied by x, so you would put 6+6 in a bracket (you do what's inside the bracket first in BODMAS) and the x on the outside so you times the result by x.

3(10+x) The number x is added to 10 and the result is multiplied by 3, so the 10+x would go in a bracket with 3 on the outside.

These equal each other, so you would put an equals sign between it to make:

x(6+6)=3(10+x)

Solve to find x:

12x=30+3x You expand the brackets to make this.

9x=30 You would move 3x to the other side by doing the inverse and taking away 3x from 12x.

x=3.33 To get x you would have to do 30 divided by 9 which is 3.33.

Hope this helps :)

The number asked is 8

What is an equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, When six is added to six times a number, the result obtained is the same as when the number is added to 10 and the result multiplied by 3.

Let the number be x,

Establishing, the equation,

6x+6 = 3(x+10)

6(x+1) = 3(x+10)

6/3(x+1) = x+10

2(x+1) = x+10

2x+2 = x+10

x = 8

Hence, the required number is 8.

For more references on equations, click;

https://brainly.com/question/29657983

#SPJ2

9) A rectangular bookshelf has a length of
of 8 1/3in and width of 4 3/8 in. Calcutate its
area

Answers

Answer:225/8 in square

Step-by-step explanation:

No

what are some objects that start with s because i have to do my name using objects

Answers

Answer:

Saddle.

Sage.

Sail Boat.

Salad.

Salamander.

Salami.

Salmon.

Salt.

Step-by-step explanation:

Answer: string, shoes, sun, scissors, sand, stapler, safe, soap, salt, salmon, sailboat, scarf, seat,

9/x + 2 = 20

WAHT IN THE WORLD? HOWWWW?!

Answers

Answer:

1/2 =x

Step-by-step explanation:

9/x + 2 = 20

Subtract 2 from each side

9/x + 2-2 = 20-2

9/x =18

Multiply each side by x

9/x *x = 18*x

9 = 18x

Divide each side by 18

9/18 = 18x/18

1/2 =x

a triangle has sides with lengths of 33 centimeters, 75 centimeters, 89 centimeters. is it a right triangle?

Answers

Step-by-step explanation:

By pythagoras triplet

sum of square of bigger side should be equal to sum of square of remaining two sides

so 75² + 33² = 5625 + 1089 = 6714

and 89² = 7921

here 6714 is not equal to 7921

so this triangle is not right angled triangle

MARK AS BRAINLIST IF IT IS USEFUL

write each equatiom as a single power of 10​

Answers

Answer:

It is 10²

Step-by-step explanation:

[tex] \frac{ {10}^{3} . {10}^{4} }{ {10}^{5} } = \frac{ {10}^{(3 + 4)} }{ { {10}^{5} }} \\ \\ = \frac{10 {}^{7} }{ {10}^{5} } \\ \\ = {10}^{(7 - 5)} \\ = {10}^{2} [/tex]

Answer:

10²

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Then

[tex]\frac{10^{3}.10^{4} }{10^{5} }[/tex]

= [tex]\frac{10^{(3+4)} }{10^{5} }[/tex]

= [tex]\frac{10^{7} }{10^{5} }[/tex]

= [tex]10^{(7-5)}[/tex]

= 10²

If there are 16 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made. They already used 16:32

Answers

All of possible ratios of boys to girls that could be made is 8:16; 4:8; 2:4; 1:2
Hope it helps, Brainliest if it <3

One hundred sixteen divided by four plus twenty eight minus thirty three?

Answers

Step-by-step explanation:

116/4+28-33

29+28-33

57-33

24

help plz (ASAP) thanks

Answers

Answer:

D

Step-by-step explanation:

thank uu

Answer:

the yellow answer is false; second answer

Step-by-step explanation:

5 An arithmetic progression has a second term of -14 and a sum to 21 terms of 84. Find the first term and the 21st term of this progression.​

Answers

Answer:

a₁ = - 16 , a₂₁ = 24

Step-by-step explanation:

The nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = - 14 , then

a₁ + d = - 14 → (1)

The sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

Given S₂₁ = 84 , then

[tex]\frac{21}{2}[/tex] [ 2a₁ + (n - 1)d ] = 84 ( multiply both sides by 2 )

21(2a₁ + 20d) = 168 ( divide both sides by 21 )

2a₁ + 20d = 8 → (2)

From (1) d = - 14 - a₁ ← substitute into (2)

2a₁ + 20(- 14 - a₁) = 8 , that is

2a₁ - 280 - 20a₁ = 8

- 18a₁ - 280 = 8 ( add 280 to both sides )

- 18a₁ = 288 ( divide both sides by -18 )

a₁ = - 16

Substitute a₁ = - 16 into (1)

- 16 + d = - 14 ( add 16 to both sides )

d = 2

Then

a₂₁ = - 16 + 20(2) = - 16 + 40 = 24

an 8 yard of roll of strung costs 3.12 what is the unit price

Answers

Answer:

2.56

Step-by-step explanation:

unit price = 8/3.12

                = 2.56

FOR MATH EXPERTS !!

giving brainly!

Answers

Answer:

-8

Step-by-step explanation:

-5+2-3-2

Combine

-3 -3-2

-6-2

-8

Answer:

-8

Step-by-step explanation:

-5+2 = -3

-3-3= -6

-6 -2 = -8

In 6 days, a group of workers can plant 30 acres.
What is their rate in acres per day?

Answers

Answer:

5 acres per day

Step-by-step explanation:

Since it is 30 for 6 days, divide 30 by 6 to get how many per day

when f(x)=2x-2 what is the domain?​

Answers

Answer:

d: x3R

Step-by-step explanation:

Step 1: What is asked

A domain is for what values of x in the graph is defined such as when y = 2, x is equal to 2.

Step 2: Solve

Since this is a linear equation the domain would be every x value do it would be: d: x3R (x belongs to all real numbers)

Solve the equation. (find x)​

Answers

Answer:

Step-by-step explanation:

[tex](x^2-3x+1)^{(2x^2+x-6)}=1\ we \ take \ the \ logarithm\\\\(2x^2+x-6)*ln(x^2-3x+1)=0\\\\(2x^2+x-6)=0\ or\ x^2-3x+1=1\\\\1)\\2x^2+x-6=0\\2x^2+4x-3x-6=0\\2x(x+2)-3(x+2)=0\\(x+2)(2x-3)\\x=-2\ or\ x=\dfrac{3}{2} \\\\2)\\x^2-3x=0\\x(x-3)=0\\x=0\ or\ x=3\\\\sol=\{-2,0,\dfrac{3}{2},3\}\\[/tex]

what is the total value in fraction​.

Answers

Answer:

When we divide a whole into equal parts, each part is a fraction of the whole. For example, Fraction of a collection: Fractions also represent parts of a set or collection.

if my answer helps you than mark me as brainliest

the distance between the points (-1,3) and (2,-1) is?

Answers

Answer:

It is 5.83 units

Step-by-step explanation:

[tex]{ \bf{length = \sqrt{ {(x_{1} - x _{2} ) }^{2} + {(y _{1} - y_{2})}^{2} } }}[/tex]

x1 is -1

x2 is 2

y1 is 3

y2 is -1

[tex] = \sqrt{ {( - 1 - 2)}^{2} + { \{3 - ( - 2) \}}^{2} } \\ \\ = \sqrt{9 + 25} \\ = \sqrt{34} [/tex]

x + 2x + 3x = 6 . Find x

Answers

Answer:

1

Step-by-step explanation:

x + 2x + 3x = 6

Add the like terms,

6x = 6

=> x = 6/6

=> x = 1

Step-by-step explanation:

x+2x+3x=6

x+5x=6

6x=6

x=6÷6

x=1

help me pleaseeeeeee

Answers

it’s b

it has to be 20 c long … kskdhdhiIakakkwdydyxiajajshsuuaisudj

hey please help i’ll give brain

Answers

Answer:

81-1 nine

90-81

9

Step-by-step explanation:

Answer:

[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ thank \: you[/tex]

Lisa bought a bracelet for $20.50, a scarf for $8.75, and socks for $6.25. How much money did she spend?

Answers

20.50+8.75+6.25= 35.5$

Answer:

Lisa spent $35.50

Step-by-step explanation:

$20.50 + $8.75 + $6.25 = 35.5

In terms of money, it is $35.50

There are 40 students in a summer cohort. Of those students, 20 are taking an accounting course, and 25 are taking a Spanish course. A total of eight students are taking both courses. How many students are not taking either course

Answers

Answer: 3

Explanation:

Students that takes course one or both courses.

20 + 25 = 45

Students that take course. Not including both courses students.

45 - 8 = 37

Students that doesn’t take course.

40 - 37 = 3

PLEASE HELP!!! I will give you brainliest!

Answers

Answer:

6

Step-by-step explanation:

The range of the middle 50% is the right side of the box subtracting the left side of the box

14-8

6

An astronaut weighs 685 N on earth. What would the astronaut's weight (in FORCE) be on Jupiter where gravity= 25.9 m/s2? (*Tip: Solve for the astronaut’s MASS in the Earth, and then procced with his weight, in Newton in Planet Jupiter.) Use G-R-E-S-A, Given. Required, Equation, Solution, Answer

Answers

Answer:

Step-by-step explanation:

I'm sure by now you have learned the difference between mass and weight. Mass will never change regardless of where something is while weight changes depending upon the pull of gravity. If we want the mass, then we have to take the weight on Earth and divide by its pull of gravity. The equation for that will be

W = mg where W is the weight in Newtons, m is mass and g is gravity.

685 = m(9.8) so

m = 7.0 × 10¹ kg

Now that we know that mass, and also because we know that the mass is constant no matter where the astronaut is, we can find his weight on Jupiter.

W = (7.0 × 10¹)(25.9) so

W = 1800 N

Evaluate the expression below for s=2 and t=7

3st²-s²

Please help!! Whoever answers first/correctly ill mark brainliest!!!!

Answers

first replace the letters with the numbers it gave so you have 3(2)(7)^2-(2)^2

multiply the 3 and 2 together to make 6(7)^2-(2)^2

do seven to the second power (7x7) so you get 6(49)-(2)^2

-(2)^2 is the same as -1(2)^2, so that can just become -2^2. so you now have 6(49)-2^2

multiply 6x49 so you have 294-2^2

do two to the second power (2x2) so you get 294-4

294-4=290

The pie chart shows 60 pupils travel to school

Answers

Answer:

bus = 90/360 x 60 = 15

walk = 120/360 x 60 = 20

not sure about bike and car

Answer:

Bike=5

Walk=20

Step-by-step explanation:

I need help with my homework

Answers

Answer:

A.9

B.6

C.7

D.1

E.5

F.4

G.2

H.3

I.8

PLEASE MARK ME BRAINLIEST

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