Simplify the expression: (in the image attached)

Simplify The Expression: (in The Image Attached)

Answers

Answer 1

Step-by-step explanation:

Hey there!

[tex]\tt{\dfrac{\dfrac{1}{x^2} + \dfrac{2}{y}}{\dfrac{5}{x} - \dfrac{6}{y^2}}}[/tex]

So, what we can do here is first take the Least Common Multiple here, on both Numerator and Denominator.

[tex]\tt{\dfrac{\dfrac{y + 2y^2 (1)}{x^2 y (2)}}{\dfrac{5y^2 - 6x (3) }{xy^2 (4)}}}[/tex]

[The number in brackets is for the next step :-

When we will further simplify it, we will multiply 1st with 4th and 2nd with 3rd.

[tex]\tt{\dfrac{y + 2y^2 \times xy^2 }{x^2 y \times 5y^2 - 6x }}[/tex]

[tex]\tt{\dfrac{y + 2y^2 \times y }{x \times 5y^2 - 6x }}[/tex] is the framed answer.

Answer 2

Answer:

[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]

Step-by-step explanation:

Lets do the numerator and denominator seperately:

Numerator:

1/x^2 + 2/y

Find common denominator and add these 2 fractions:

This is x^2y (I just multiplied the 2 denominators together’

Now, do what you have done to x^2 to make it x^2y, ie. multiplied by y, to the 1. This = y

And do what you have done to y to make it x^2y, ie. multiplied by x^2, to the 2. This = [tex]2^{2}[/tex]

Now, arrange all numbers we have found into the correct order in the fraction. This is:

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]

Denominator:

5/x - 6/y^2

Find the common denominator  and subtract these two fractions:

This is xy^2

Now, do what you have done to x to make it xy^2, ie. multiply by y^2, to the 5. This = 5y^2

And do what you have done to the y^2 to make it xy^2, ie. multiply by x, to the 6, this is = 6x

Now, arrange all the numbers we have found into the correct order in the fraction

[tex]\frac{5y^{2}-6x}{xy^2}[/tex]

Now that we have the numerator and the denominator, we can solve the equation.

The original question asks us to divide the 2 fractions, so:

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]  divided by [tex]\frac{5y^{2}-6x}{xy^2}[/tex]

For the division of fractions, you just have to multiply the inverse of the 2nd fraction by the first, so

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex] x [tex]\frac{xy^2}{5y^2-6x}[/tex]

Use cross multiplication to simplify the above expression to:

[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]

Hope this helps, sorry its long ...


Related Questions

Solve for x.

lesser x =
greater x =

Answers

Answer:

-1 = x              1 = x  

Step-by-step explanation:

We want to factor this first

-4x^2 = -4

x^2=1

sqrt x^2 = sqrt 1

x = ± 1

x=-1        x=1

The test results for 4 students are: 96, 83, 78, and 83. If one more student's test score of 87 is added, what would increase? Help please!!!

Answers

Well the average would change from 85 to 85.4

division as fractions

Answers

Answer:

what this isnt a question plz fix this then I'll anwser

Answer:

Are you asking for the definition? If so

Step-by-step explanation:

A whole number is part of a fraction. A fraction has to parts EX: 5/4

5 would be the numerator and 4 is denominator

Dividing a fraction and another fraction would be just like multiplying fractions. Reverse of the other

Hope this helped! Maybe be more specific next time? Anyways hope you have a wonderful day! :)) <33  

Help me answer this please and thank you.

Answers

Answer:

It is y=2/3+4

find the original price of a pair of gloves that is 28$ after a 30% discount?

Answers

Answer:

$40

Step-by-step explanation:

Find the original price by dividing 28 by 0.7

28/0.7

= 40

So, the original price was $40

EXPERTS CALLING IN ALL EXPERTS.

SEARCH UP:cnn 10 April 8th. Watch the video
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Please and thank you

Answers

brainly won't let me type my answer out so i'll just put it in the comments, sorry if it's inconvenient.

x^(2)-8x=-7
Please show work.

Answers

Answer:

This equation has two solutions.

1 solution is: x - 1

Solution #2 is : x - 7

Step-by-step explanation:

1. Move the constant to the left. We end up with x^2 - 8x +7 = 0

2. Rewrite the expression: x^2 - x - 7x + 7 = 0

3. Factor the expressions: x * (x-1) -7(x-1) = 0

4. Separate into possible cases : (x-1) * (x-7) = 0

5. Solve the equation(s): x-1 = 0

                                         x-7 = 0

6. Possible solutions are as follows: x-1 OR x-7

 What is the mathematical term for "the same"?

Answers

Answer:

Equivalent / Equal

Step-by-step explanation:

calculate the coefficient b in the function f (x) = - x + b for which it holds that the graph passes through the point (-1,3)
Need if fast!

Answers

Answer:

b = 2

Step-by-step explanation:

For the graph to pass through the point, we have it that the coordinates of the point will work in the equation of the line

Hence, by substituting the x value, we can get the y value and by substituting the y value, we can get the x value

where f(x) is same as y in this case

Thus, we have it that;

3 = -(-1) + b

3 = 1 + b

b = 3-1

b = 2

Given: Line Segment AC ≅ Line Segment DC, ∠B≅∠D
Prove Line Segment AB ≅ Line Segment DE with a two-column proof

Answers

Answer:

See Below.

Step-by-step explanation:

Statements                                                       Reasons:

[tex]1)\text{ } AC\cong DC[/tex]                                                      Given

[tex]2)\text{ } \angle B\cong \angle D[/tex]                                                      Given

[tex]3)\angle BCA \cong \angle ECD[/tex]                                            Vertical Angles are Congruent

[tex]4)\text{ } \Delta ACB\cong \Delta DCE[/tex]                                          AAS Congruence

[tex]5)\text{ } AB\cong DE[/tex]                                                      CPCTC

I'm trying to find the measure of this parallelogram a= x b=145° c=y and d=z

Answers

Answer:

y = 145 ( being parallelogram opposite angle is equal)

similarly, x = z = 35 ( being parallelogram, sum of two ad angle is 180)

Step-by-step explanation:

Please help!!
6(k+6) = 84

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

k = 8

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

k= 8

Step-by-step explanation:

1. Divide both sides ( 6 & 84)

2. Move the constant to the right ( k= 14-6)

3. Subtract and that leaves you with 8

hii please help i’ll give brainliest

Answers

Answer:

C- the third one

Step-by-step explanation:

It is the only one that shows the dot on -2

if this helps, brainliest, please?????

C

1) 2.25
2) 0.35
3) -2.25
4) -0.25

can someone please help

find slope/rate of change
a. 1/3
b. 3
c. 30
d. 10​

Answers

The answer is......................b

Find the area of the shape shown below

Answers

Answer:

12 units squared

Step-by-step explanation:

You need to find the area of each individual shape, and then add them together. The area of the square is 4 units squared. The triangle on the left is two units squared (base times height, divided by two,) and the area of the triangle on the left is 6. Add them all together, and you get 12 units squared.

Answer:

24

area is round the outside times them together and you will get the inside

No links GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4

Answers

Answer:

smile please :)

Step-by-step explanation:

smile please :)

1. Write the equation of a line through the points (-4,7) and (-6,2). 2. Write the equation of a line through the points (2,-9) and (2,6) 3. Write the equation of the line perpendicular to the line in #1 with the same x-intercept

Answers

Answer:

Step-by-step explanation:

1. Write the equation of a line through the points (-4,7) and (-6,2). 2. Write the equation of a line through the points (2,-9) and (2,6) 3. Write the equation of the line perpendicular to the line in #1 with the same x-intercept

PLSSSSS HELPPPPP 20 POINTSSS EASY MATHHHH

How many of each different 2-D shapes do you see?

Answers

I see 5
There’s 2 triangles, one parallelogram and 2 other triangle thingies
Hope this helps
I think there’s two triangles and 3 rectangles

Solve for x. round to the nearest tenth. please help!!

Answers

Answer:

∠x = 39.6°

Step-by-step explanation:

tan x = 19/23 = 0.8261

x = 39.6°

8) Circle each statement that is true
:-5>-8
-7>-4
-15-6
-32
3<-9
10 >8

Answers

Don’t click that link it’s a scam!

Sascha deposited $600 in a simple interest saving account. In one year the value of the account increased to $621

Answers

Answer:

:)

Step-by-step explanation:

:)

What is the cost of 1 pound of grapes?​

Answers

it would be around $2.09 but thats just average because it depends on what you pick

What are the steps for 625 to the power of 3/4

Answers

Raise 6255 to the power of 3 is 125

Answer:

125

Step-by-step explanation:

note that

625 = [tex]5^{4}[/tex]

Using the rule of exponents

[tex](a^{m}) ^{n}[/tex] ⇔ [tex]a^{mn}[/tex]

Then

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

= 5³

= 125

The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the median?

Answers

if we put the numbers in order, it would be 12, 12.50, 13, 18.50, 20, 20 we can see the middle numbers would be 13 and 18.50. if only one number is wanted as the median, then we can do (13+18.50) divided by 2 and get 15.75.

I need help with this​

Answers

Answer:

kitkat

Step-by-step explanation:

kitkat

please answer!! i’ll give brainliest

Answers

Answer:

c=-6

Step-by-step explanation:

I used a calculator and paper and a pencil d---------b yeah :D yr welcome

Ok, so you would want to simplify both sides of the equation

(-1/3)(-12) + (1/3)(-12c)=-20 (here you distribute)

4+4c=-20

Then, subtract 4 from both sides

4c+4-4=-20-4

4c=-24

Then divide both sides by 4

4c/4=-24/4

c=-6

The ratio of the number of girls to the number of boys in a sports club was 4:7. There are 18 more boys than girls in the club. How many pupils are in the club ALTOGETHER?

Answers

Answer:

66

Step-by-step explanation:

7 - 4 = 3

18 ÷ 3 = 6

6 × (4 + 7) = 66

Select the best term from the box to complete the sentence. The number 0.5 is written as a?
1. decimal
2. decimal point
3. hundred
4. hundredth

Answers

The answer is a decimal because 1/2 as a decimal is 0.5
1. decimal

Why? You wouldn't say 0.5 is written as a "decimal point" because the decimal point is legit the decimal point. It's definitely not a hundred and a hundredth would look like "0.05"

Extend the pattern by 4 terms. Write an observation about the pattern. Rule subtract 6. Pattern 76,__,___,___,___,

Answers

Answer:

76, 70, 64, 58, 52

Step-by-step explanation:

76 - 6 = 70

70 - 6 = 64

64 - 6 = 58

58 - 6 = 52

Answer:

76,70,64,58,52

Step-by-step explanation:

Observation all the terms in the pattern are even.

9x + 8y = -1
-7x – 8y = 15

Answers

Answer:

{y = 15/8 - (9 x)/8, y = -(7 x)/8 - 2}

{9 x + 8 y = 15, 7 x + 8 (y + 2) = 0}

Step-by-step explanation:

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