WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)

Answers

Answer 1

Answer:

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)} [/tex]

Set up equation

Step 1: Simplify

[tex] \frac{6i}{5 - i} [/tex]

Step 2:Multiply by conjugate

[tex] \frac{6i}{5 - i} \times \frac{5 + i}{5 + i} [/tex]

Step 3:Simplify

[tex] \frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} } [/tex]

We can reduce this and we must make the imaginary number and real number serpate equations.

[tex] - \frac{6}{26} + \frac{30i}{26} [/tex]

Reduce each by 2

[tex] - \frac{3}{13} + \frac{15i}{13} [/tex]


Related Questions

the square of the product of 4 and a number is the sum of the number and 15

Answers

Answer:

(4x)^2 = x + 15   or

16x^2 = x  + 15  

16x^2 - x - 15 = 0

or x =1    and     x = -0.9375

Make sure next time that you ask a question..

Step-by-step explanation:

This shouldn't really be answered unless we are sure when the answer is there.

4x is the product of a number and 4

(4x)^2 = 16x^2

this will equal x + 15

16x^2 = x + 15

The question is that the answer? I suspect it is.

16x^2 - x - 15 = 0

This might be the answer. It's not clear.

"""""""""""""""""""""""""""""""""""""''''

Believe it or not, this factors without using the quadratic formula

(16x + 15) ( x - 1) = 0

16x + 15 = 0

x = - 15/16 = - 0.9575

x - 1 = 0

x = 1

eight less than seven times a number is six find the number

Answers

Answer:

2

Step-by-step explanation:

let the number be n , then

7n - 8 = 6 ( add 8 to both sides )

7n = 14 ( divide both sides by 7 )

n = 2

The number is 2

Answer: X = 2

2•7=14
14-8=6

Violet bought 2 yards of fabric. She will use it to make new pillow covers. How many inches of fabric did Violet get?

Answers

Answer:

24 inches

Step-by-step explanation:

2 yards to inches :

2 x 12 = 24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

72 inches

Step-by-step explanation:

1 yard = 3 feet

1 foot = 12 inches

1 yard = 3(12) inches or 36"

∴ 2 yards = 72 inches

In order for the parallelogram to be a rhombus x = ?

Answers

The value of the x is 27.

We have given that the diagram of a rhombus

We have to determine the value of the x

What is the angle of the rhombus?

The angle is sitting on a right angle because rhombuses have 4 right angles

90 = 4x-18

108 = 4x

x = 27

Therefore the value of the x is 27.

To learn more about the rhombus visit:

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Answer: It's 14, not 27.

Step-by-step explanation:

Which set of numbers is arranged in increasing order? A. , , , B. , , , C. , , , D. , , ,

Answers

Answer:

its B

Step-by-step explanation:

3.14 then pi (3.14159) then 22 ÷ 7 (3.1428) then square root of 10 (3.16)

Answer:

B

Step-by-step explanation:

pi=3.141592654

square root of 10=3.16227766

3.14=3.14

22/7=3.142857143

Name the marked angle in 2 different ways.

Answers

Answer:

∠PMN; ∠M

Hope this helps!:)

Geometry

Find the equation of the line for each situation.
a line with a y - intercept of 4 and a slope of -1
a line passing through the point (3, 4) and having a slope of -2
a line passing through the points (1, -1) and (9, 3)

Find the equation of a line with each of the following characteristics.
parallel to the line y = 3x + 5 and has a y-intercept of -1
perpendicular to the line y = 5x - 1 and passes through the point (10, 8)
perpendicular to the line y = 1⁄3x + 4 and has an x-intercept of 2.

Answers

Answer:

Root:(-⅗,0)

vertical intercept:(0,5)

Step-by-step explanation:

I'm sorry may be that's the only answer

The local humane society is trying to determine how many racoons there are in a city. They catch and tag 18 raccoons. Later on, they catch 67 raccoons, and 2 of them are tagged. What is the best estimate of the raccoon population? Answer to the closest whole number.

Answers

Answer:

83 racoons

Step-by-step explanation:

18+67- 2

you would subtract the two they found with tags

these marbles are placed in a bag and two of them are randomly drawn. what is the probability of drawing two blue marbles if the first marble is placed back in the bag before the second draw

Answers

Answer:  1/4

In other words, the number 4 goes in the green box.

============================================================

Explanation:

2 yellow + 3 pink + 5 blue = 10 total marbles

We have 5 blue out of 10 total, so 5/10 = 1/2 represents the probability of picking a blue marble.

Picking two marbles in a row is represented by the probability (1/2)*(1/2) = 1/4

The fraction 1/2 stays the same for both selections because we put the first marble back.

(4p _ 2k)(3)
in distributive property

Answers

Assuming that _ is meant to be a minus sign,
12p - 6k
3(4p) - 3(2k)

Answer:

12 p - 6k

Step-by-step explanation:

Let us assume that _ is meant to be minus sign.

( 4 p - 2k ) ( 3)

use the distributive property

3 × 4p - 3 × 2k

12 p - 6 k

Someone please help me thanks

Answers

Answer:

a. 7.2

Step-by-step explanation:

CAH (cos = adj/hyp)

cos53 = b/12; cross multiply

cos53*12 = 7.2

A would be your answer caus i’ve done it

help pleasee i’ll mark you as the brainliest if you answer less than 10 mins

Answers

Answer:

Answer  B: 2

Step-by-step explanation:

You can multiply the numbers of the smaller triangle and determine the answer

What is the probability of landing on a number on the spinner that is less than 3?

1/4
3/8
5/8
1/2

Answers

Answer: 1/4

Step-by-step explanation:

Reword the problem. It says what is the probability of landing on 2 or 1. That is 2 possibilities out of 8 so 2/8 = 1/4

The answer is 1/4 I hope it helps

find inverse of function in form of ordered pair

Answers

Answer:

Great tip

READ THE TEXTBOOK

A) f^-1 (x) = x + 3 B) g^-1(x) = x/4 + 1/4 C) g^-1(x) = 3 + x / x - 4

the difference of 100 and the product of y and 12
pls help

Answers

Answer:

can't understand question can you edit it or repost it

Step-by-step explanation:

and please mark me thanks

The algebraic expression for the given statement is: 100 - 12y.

What is an Algebraic Expression?

An algebraic expression is a mathematical statement used to state a given problem using variables and digits.

Product means multiplication while difference means subtraction.

Product of y and 12 = 12y

Difference of 100 and 12 y would therefore be expressed in algebraic expression as: 100 - 12y.

Learn more about algebraic expression on:

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One number is 4 less than 3 times a second number. If 3 more than two times the first
number is decreased by 2 times the second number, the result is 11. Use the substitution
method. What is the first number?

Answers

Answer:

The first number (x) = 8

Step-by-step explanation:

Let x = the first number

Let y = the second number

x = 3*y - 4

2x + 3 - 2y = 11        Subtract 3 from both sides

2x - 2y = 11 - 3

2x - 2y = 8              Divide by 2

x - y = 4                   Add y to both sides

x = y + 4                  Now go back to the very first equation. Substitute for x

y + 4 = 3y - 4          Subtract y from both sides

4 = 3y - y - 4

4 = 2y - 4                Add 4 to both sides

4 + 4 = 2y

8 = 2y                     Divide by 2

8/2 = y

y = 4

x = 3y - 4

x = 3*4 - 4

x = 12 - 4

x = 8

Which table graph represents the equation y=2x?

Answers

Answer:

From the two graphs, I can see in the picture, I can tell that the left graph represents y=2x because the y-intercept is 0 and the slope is 2 because the line goes up two and over one (2/1) or just 2.

Step-by-step explanation:

Hope this helps

In a race, 23 out of 50 swimmers finished in less than 43 minutes. What percent of swimmers finished that race in less than 43 minutes?


Please help me on this T_T

Answers

Answer:

46%

Step-by-step explanation:

x : 100 = 23 : 50

x = (23 * 100)/50 = 46%

Express the graph in slope-intercept form.

Answers

Y=2/3 x -1

Looking at the graph u can tell the slope is 2/3 (rise over run) and the y intercept is -1

[tex]\red{\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

ANSWER:

[tex]\sf y = \frac{2}{3} x - 1[/tex]

Looking at the graph you can tell the slope is [tex]\sf{\frac{2}{3}}[/tex] rise, over, run, and the y intercept is -1

[tex]\red{\overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

[tex]\large\boxed{\sf{\red{CarryOnLearning}}}[/tex]

Math.........




I need

Answers

Answer:

She had to had like 20 since (-17-3)= -20 right the question asked how much she had before, she had 20 if not 28, since the mother gave her another twenty but as a result, in the beginning, she had around 28 dollars in order to spend 17 on a book and 3 on a cupcake so she still had 8 dollars, and the 20, well the mother handed her 20.

(I hoped I made sense, and that I helped!:)

A factory puts 2,000 picture frames in each shipment. How many picture frames will the
factory put in 2 shipments?
picture frames

Answers

4,000

I know this because 2,000 • 2 = 4,000

how u work it
and answer ​

Answers

Answer:

B

Step-by-step explanation:

So if B is the midpoint of AC, AB must be 1/2 of AC.

If D is the midpoint of AB, it must be 1/2 of 1/2 of AC, which is 1/4 of AC.

So AC= 4 DB

In a street of 72 dwellings, 5/12 are bungalows. The rest are two-storey houses. Half of the bungalows are detached and 2/7 of the houses are detached. What fraction of the 72 dwellings are detached?

Answers

Answer:27/ 72 or 3/8

Step-by-step explanation:

Trust me


For the function Rx) = 1/x+1 which of these could be a value of F(x) when x is
close to -1
O A. -0.01
OB. 0.01
O c. 1
O D. -10,000

Answers

Answer:

D. -10000

Step-by-step explanation:

you really need to copy or type the question better.

I can only assume what you really mean.

I guess, you want to say that F(x) = 1/(x+1)

when the value for x gets close to -1, the whole expression gets close to 1/0, which would bring numbers with larger and larger absolute values, leading to infinity.

you also did not say from what direction we are getting closer to -1.

we could come from -2 and move closer and closer to -1.

in this case (x+1) would always be smaller than 0 (negative sign).

or we could come from +1 and then 0 and move towards -1, in which case (x+1) would airways be bigger than 0 (positive sign).

anyway, when being closer and closer to -1, the absolute value of the resulting functional values will get bigger and bigger.

the only answer option with a larger absolute value is D (-10000).

so, that had to be the solution, and it also means that we are coming from -2 to -1, and the sign is negative.

Solve (x + 9)2 = 25.

Answers

Answer:

x=3.5

Step-by-step explanation:

25÷2=12.5

12.5-9=3.5

Answer:

7/5 or 3.5

Step-by-step explanation:

2 (x+9) =25

x+9 = 25/2

x = (25/2) - 9

x = 7/2 in decimal = 3.5

I need help with number 13!!

Answers

Answer:

D) -2 1/4  <  2 1/4

Step-by-step explanation:

The number line shows points -2 1/4 and 2 1/4, and -2 1/4 is less than 2 1/4, so D is the right answer.

:) ur welcome

Answer:

D

Step-by-step explanation:

quick answer :)

What is the inverse of the function f(x) = one-quarterx – 12?

Answers

Answer:

y = 4x - 48

Step-by-step explanation:

y = 1/4 x - 12

x = 1/4 y - 12

4x = y - 48

y = 4x - 48

Answer:

[tex]f^{-1}[/tex] (x) = 4x + 48

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]\frac{1}{4}[/tex] x - 12 ( multiply through bt 4 to clear the fraction )

4y = x - 48 ( add 48 to both sides )

4y + 48 = x

Change t back into terms of x with x = [tex]f^{-1}[/tex] (x)

[tex]f^{-1}[/tex] (x) = 4x + 48

Find the recursive formula -80, 20, -5

Answers

Answer:

[tex]a_{n}[/tex] = - [tex]\frac{1}{4}[/tex] [tex]a_{n-1}[/tex]

Step-by-step explanation:

The recursive formula lets us find a term in the sequence by multiplying the previous term by the common ratio r

Here r = [tex]\frac{20}{-80}[/tex] = [tex]\frac{-5}{20}[/tex] = - [tex]\frac{1}{4}[/tex]

Then recursive formula is

[tex]a_{n}[/tex] = - [tex]\frac{1}{4}[/tex] [tex]a_{n-1}[/tex]

can you reduce 18/35 if so what is the answer?

Answers

The fraction 1835 is already in the simplest form so it isn't possible to reduce it any further So nah u can’t do nothing to it

Answer: 0.514285714286 ≈

Step-by-step explanation: 18/35 is already in the simplest form. It can be written as 0.514286 in decimal form

For any two integers A and B, A minus b is equal to a plus additive inverse of b is equal to a + Dash

Answers

Answer:

For any integer number n, the inverse additive of n is also an integer K such that:

n + K = 0

solving this for K, we get that:

K = -n

Then the inverse additive of n is -n.

Now that we know this let's complete this.

We know that for any two integers A and B, a minus b is equal to a plus the additive inverse of b.

To check this:

a minus b is written as:

a - b

And a plus the additive inverse of b is:

a + (-b)

because -b is the additive inverse of b.

Remember the rule sign:

(+)*(-) = -

Then we can rewrite:

a + (-b) = a - b

Then the statement is true.

"For any two integers a and b, a minus b is equal to a plus additive inverse of b is equal to a + (-b)"

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