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

1. Name the ray in the figure

Answers

Answer:

The correct answer is option c.

Step-by-step explanation:

Have a nice Day!

and can I maybe have brainliest? Thanks!

carlos walked to school on 14 of the 20 school days in february.Witch value is equivalent to the fraction of the school days in february that carlos walked to school?

Answers

Answer:

14/20 or simplified 7/10 it can also be shown as 70% or 0.7 or 0.70

Step-by-step explanation:

Solve the simultaneous equations

y – x = 3
y = 7x

Answers

Answer:

x=1/2, y=3 1/2

Step-by-step explanation:

substitute y=7x into y-x=3

7x - x = 3

6x = 3

x=1/2

y=7(1/2)

y=3 1/2

Pleas help will give brainliest

Answers

Answer:

8 steps can be cut

Step-by-step explanation:

20 ÷ 2.5 = 8

Pls help I need this now

Answers

The answer is A to your question

I NEED HELP WITH THIS

Answers

72 degrees
........................

Answer:

∠HGJ + ∠KJG = 180°

So, ∠KJG = 62°

Urgent!!!!
Can someone please give me the correct answer to this question
The answers are in the picture.
I will mark you brainliest for the correct answer.
Please help!!

Answers

Answer:

2x=80°

x=40°

40°+20°=60°

Step-by-step explanation:

all triangles are 180°

verify X + y equal to y + X when:x=-8/9and y=-3/5​

Answers

Given:

[tex]x=-\dfrac{8}{9},\ y=-\dfrac{3}{5}[/tex]

To verify:

[tex]x+y=y+x[/tex]

Solution:

We need to verify,

[tex]x+y=y+x[/tex]

Taking left hand side, we get

[tex]LHS=x+y[/tex]

After substituting the values, we get

[tex]LHS=-\dfrac{8}{9}+\left(-\dfrac{3}{5}\right)[/tex]

[tex]LHS=-\dfrac{8}{9}-\dfrac{3}{5}[/tex]

[tex]LHS=\dfrac{-40-27}{45}[/tex]

[tex]LHS=\dfrac{-67}{45}[/tex]

Now,

Taking right hand side, we get

[tex]RHS=y+x[/tex]

After substituting the values, we get

[tex]RHS=-\dfrac{3}{5}+\left(-\dfrac{8}{9}\right)[/tex]

[tex]RHS=-\dfrac{3}{5}-\dfrac{8}{9}[/tex]

[tex]RHS=\dfrac{-27-40}{45}[/tex]

[tex]RHS=\dfrac{-67}{45}[/tex]

Clearly,

[tex]LHS=RHS[/tex]

Hence verified.

find the length of the missing side in the following examples

Answers

Answer: 1. 6.1

2. 13

3. 5.4

4. 5.7

5. 10.4

6. 31

Step-by-step explanation:

I got the values of the missing sides by doing the Pythagorean theoreom. Therefore, I had to find the length of the hypotenuse. a^2+b^2=c^2

a and b are the values of the sides given, and we have to find the value of c. So, for instance on number one 6 and 3 are a b. (6)^2+(3)^2= 45. Now we have to find the square root of 45. The square root of 45 is 6.7082039325.

So the value of the missing side in number one is 6.7.

A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 558.92 yd. What is the surface area of the sphere?

Answers

Answer:

The surface area of the sphere is = [tex]99426.41 yd^2[/tex]

Step-by-step explanation:

The area of a sphere can be calculated using this formula:

[tex]A=4\pi r^2[/tex]

However, we have a little problem: we do not have our radius yet to utilize in the formula above.

We can get our radius from the circumference of the circle which has been given to us.

circumference = [tex]2 \times \pi \times r[/tex]

[tex]r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd[/tex]

We now have our radius. we can input it into equation 1 above

The Surface area of sphere = [tex]4 \times \pi \times 88/95^2 = 99426.41yd^2[/tex]

Explain how to find the slope of the line.

Answers

Step-by-step explanation:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{1 - 3}{6 - 2} \\ = \frac{ - 2}{4} \\ = - \frac{1}{2} [/tex]

Even if x₁ = 6, y₁ = 1 and x₂ = 2, y₂ = 3 the result remains same.

#CMIIW


How many WNBA athletes played in China in the 2018-
19 season?
A. 4
C.11
B.8
D. 20"

Answers

Answer:

C. 11

I hope it's right and helpful

Answer:

c 11

Step-by-step explanation:

c 20 hg ch gggggghubydyh

x^(2)-4x-17=0
Please show work step by step

Answers

Step-by-step explanation:

It seems here that they are asking us to solve for x

to do this we first need to factor

Since we can't factor this using the normal method we can instead do this

x^2 -4x-17=0

add 4 to both sides as it is a perfect square

x^2 - 4x + 4  = 17 +4

(x-2)^2 = sqrt 21

x-2 = ±  4.58

x -2 = 4.58    x-2 = -4.58

x= 6.58          x=-2.58

Or just say x=2+√21 or x=2−√21

A student scores 88, 73, 81, 75 , and 78 on the first five science tests of the year. What is the minimum score the student needs to get on the sixth test in order to have a test average of at least

Answers

Answer:

84

Step-by-step explanation:

Thank you for the help

Answers

If UVT is 135 degrees then and UVS is 180 degrees TVS is 45 degrees

help me pzz please please ​

Answers

Answer:

Step-by-step explanation:

i dont get it

Answer:

just multiply al the sids like you would with a square

What is the range for the graph shown? A) -3 ≤ y ≤ 2 B) -3 and 2 C) -3 ≤ y ≤ 3 D) -2 ≤ y ≤ 3

Answers

B) -3 and 2

Explanation
Brainly Please

The solid shown below is made by combining two rectangular prisms. What is the total volume of the solid?

Answers

Answer:

The question has a picture attached of both rectangular prisms which I have attached and solved.

Answer:   1320 cm³

Step-by-step explanation:  

top prism = 5×12×10=600  

lower prism = 15×12×(15-10) = 720

Adding both volumes

720 + 600 = 1320 cm³

What’s the area of the polygon?

Answers

Answer:

[tex]108 in^{2}[/tex]

Step-by-step explanation:

Separate it into 2 parts:

The first would be that the length and width of the smaller rectangle would be, 7 in. and 6 in.

7 x 6 = 42 in^2

The second would be that the length and width of the larger rectangle would be, 11 in. and 6 in.

11 x 6 = 66 in^2

Total:

66 + 42 = 108 in^2

Answer:

108 [tex]in ^2[/tex]

Step-by-step explanation:

This polygon consists of two rectangles, one in the top-right hand corner and another in the bottom. To divide these two rectangles, imagine a line extended from the central horizontal line in the polygon. As I work the problem, remember that the formula for the area of a rectangle is [tex]A=l * h[/tex], where A is the area of the rectangle, l the length of the rectangle (one of the sides), and h is the height of the rectangle (the length of a side perpendicular to l).

Starting with the top-right rectangle:

We already know one of the sides of the rectangle is 4 in, so let's imagine this to be h, because it is the height of the rectangle. Finding l is more complicated. We know the length of the larger rectangle is 12 in (more on that later) and the 6 in length is the part of the length that is not a part of the top-right rectangle. This, since the vertical line all the way to the right is straight, the length is the difference between these two lengths, or:

[tex]l=12-6=6[/tex] in

Now that we know l and h, we can evaluate the area of the first rectangle, which is

[tex]A= 6 *4= 24[/tex] in^2

Now for the bottom rectangle:

We know both l and h for this rectangle, which are 12 in and 7 in respectively. Using the area formula for a rectangle above:

[tex]A=12*7=84[/tex] in^2

Since the polygon contains both rectangles, its area is the sum of the areas of the two rectangles. Thus,

[tex]A=24+84=108[/tex] in^2

QED

The ratio of teacher to student in a school
is 1:18. There are 540 students. How
many teachers are there in the school?

Please answer me fast

Answers

Answer:

30

Step-by-step explanation:

teacher x

student 18x

18x=540

x=30

I need help plzzzzzzzzzzzzjdbfhrrhebehdbzzzzzzzzzzzzzzzz

Answers

Answer:A

Step-by-step explanation: im not too sure but i think 1-2/5=3/5 which would be red so

Answer:

The answer to this is a because it has a sequence of three

Find the height of a parallelogram with an area off 41 square meters and a base of 8.2 meters. Include the measurement of the shape. First to get it right gets brainliest

Answers

Answer:

I'm go take 8.2 subtract by 41 and I got 32.8

Step-by-step explanation:

Dan and David are marking exam papers. Each set takes Dan 35 minutes and David 1 hour. Express the time's Dan and David take as a ratio.
Give your answer in its simplest form.

Answers

Answer:

7 : 12

Step-by-step explanation:

35 : 60 cuz 60 mins is an  hour

7 : 12

Emilio has to run 71
2
miles every week to train for the football team. If he runs 11
2
miles every day, how many days will
it take him to run 71
2
miles?



It will take Emilio
days to run 71
2
miles.

Answers

Answer:

7 days or, more specifically 7.455 days

Step-by-step explanation:

71 miles divided up into groups of 11

71 mi. ÷ 11 mi. at a time

71 ÷ 11 = 6.455

rounds up to 7 days

6 days will it take him to run 712 miles.

What is division?

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Given

Emilio has to run 712 miles every week to train for the football team.

If he runs 112 miles every day

Based on the given conditions

= [tex]\frac{712}{112}[/tex]

= 6.35

≅ 6 days

Thus, 6 days will it take him to run 712 miles.

Find out more information about division here

https://brainly.com/question/1575906

#SPJ3

WILL GIBE BRAINLEST

Which figures are polygons?
Select each correct answer.
Figure A
Figure B
Figure C
Figure D​

Answers

A, C, and D... a polygon simply has all rigid corners and flat edges
The answer is A,B, and D.

Notice how A, B, and D have more than 3 straight edges. This qualifies the shape to be a polygon. The minimum sides a shape can have to be qualified as a polygon is 3 sides.
Answer choice C cannot be a polygon because it doesn’t meet the polygon minimum. Also answer choice C has a curved line which is not allowed within polygons.

Can anybody help me with this problem?

Answers

Answer:

$830

Step-by-step explanation:

x/2=200+215

x/2=415    multiply by two on both sides to get x alone

x=830

Regina Falange is 173 cm tall, making her line of sight exactly 163 from the ground. She is looking at a hawk in a tree and both are on level ground. The trunk of the tree is 10 meters away from her location and the angle of elevation from her eyeline to the hawk is 30 degrees. What is the hawk’s height above the ground?
a. Drawn a diagram that outlines the situation. Be sure to label the tree, hawk, Regina, the angle, etc.
b. Find the height of the hawk above the ground in cm. (Hint: Remember Regina’s height.) Round to the nearest hundredth.

Answers

Answer: 7.40 meters

Step-by-step explanation:

I went with 163 cm for the height because it says her eyeline is at 163 cm. I don't assume she would be looking from the top of her head so I went with that over 173 cm(h for hawk)

All you do is:

tan(30)=opposite/adjacent

tan(30)=h/10

10*tan(30)=h

h≈5.77 meters

163cm converted to meters is 1.63 meters, so add it to 5.77 and you will get 7.40 meters

This might help as well: https://www.ck12.org/book/ck-12-trigonometry-concepts/section/1.13/

4.
2
Round off 14.9028 to the nearest
hundredths​

Answers

Answer:

14.9000 is the answer

Step-by-step explanation:

round it

Answer:

can you be more clear

Step-by-step explanation:

What is the value of the expression x^3y^2/6 + x^2y^2 x = -2 and y = 3?
A -45
B -30
С 24
D 27

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{(-2)^3=\bf -8}[/tex]

[tex]\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{3^2=\bf 9}[/tex]

[tex]\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}[/tex]

[tex]\mathsf{-8(9)= \bf -72}[/tex]

[tex]\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}[/tex]

[tex]\mathsf{\dfrac{-72}{6}=\bf -12}[/tex]

[tex]\mathsf{= -12+(-2)^2(3^2)}[/tex]

[tex]\mathsf{-2^2=\bf 4}[/tex]

[tex]\mathsf{= -12+4(3^2)}[/tex]

[tex]\mathsf{3^2=\bf 9}[/tex]

[tex]\mathsf{= -12+4(9)}[/tex]

[tex]\mathsf{4(9)= \bf 36}[/tex]

[tex]\mathsf{-12 + 36 = \bf 24}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

I will give you BRAINLIEST for the correct answer

Answers

Answer:

a or b

Step-by-step explanation:

if I did the math right it's a but I tried another way and got b, so I'm sorry if that was no help at all

Step-by-step explanation:

If you realise, the quadrilateral is made up of 2 triangles,

therefore the area = 2 x 1/2 x base x height

[tex] = 2 \times \frac{1}{2} \times 12 \times 4 \\ = 12 \times 4 \\ = 48 {units}^{2} [/tex]

Other Questions
The lycanthropic virus story is really nailed down," says Giles. "The epicenters that have been mapped over thousands of years are likely the spots where werewolves are concentrated." As it is used in this line, concentrated most nearly means Question 1 options: extracted paid attention to gathered together directed to one topic The seagull population on a small island in the Atlantic Ocean can be calculated using the formulaP(t) = 5.3/11/?, where P is the population in hundred thousands, and t is in years. What will the seagullpopulation on the island be after 5 years? (Round to the nearest tenth.)a. about 41.6 hundred thousandc. about 172.4 hundred thousandabout 3.7 x 10' hundred thousand d. about 66.5 hundred thousand URGENT!!!! BRAINLIEST FOR CORRECT ANSWER!At the Little Rock Zoo, the cost for one children's ticket is $10 and the cost for one adult's ticket is $13. On Saturday, the zoo had a total of 1,465 people visit the zoo and took in a total of $16,603. How many CHILDREN visited the zoo? (Number Only) Find the missing side lengths. Can someone help me please Guys help don't have enough time left. This can really effect everything if this is correct so try your best. A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax? When the emperor was divine Where is the first place that the family stays after being forced to leave their homes? What is the biggest problem about living there? to transmit heat sound or electricity through a medium ill mark brainliest 1. Define celular respiration2.What types of organisms use cellular respiration?3 In which cell organele does most of aerobic celular respiration occur?4.What are the reactants of aerobic celular respiration?5.What are the end-products of aerobic cellular respiration?6. What is the chemical equation for aerobic cellular respiration? How does it relate to thechemical equation for photosynthesis ?7. What are the 3 stages of aerobic cellular respiration? Where in the cell does each stageoccur and how many molecules of ATP are generated for each stage? Which stage generatesthe most amount of ATP?8. What types of organisms/cels utilize anaerobic celular respiration?9. What are the two types of anaerobic respiration?10. What is fermentation? What organisms utilize fermentation?11. Where in the cell does fermentation take place?12. What are the end-products of fermentation?13. How many ATP molecules are generated during fermentation?14. What types of organisms/cells utilize lactic acid anaerobic respiration? How many moleculesof ATP are generated by lactic acid respiration? 6(x+4)+1= What is the answer to this great math problem When Rashad got home from the hospital what was he looking for under his bedand why?* How are the ear and the eye alike? How are they different? if someone did a summary of a horror movie then i will give brainliest and 1818 pionts pls brainlies What led to a population boom during the High Middle Ages? lack of wars immigration from North America improvements in the barter system development of new farming tools and methods 4 feet how many meters Round to the nearest hundredth Suppose that an initial $20 billion increase in investment spending expands GDP by $20 billion in the first round of the multiplier process. Also assume that GDP and consumption both rise by $18 billion in the second round of the process. Instructions: Round your answers to 1 decimal place. a. What is the MPC in this economy What is the molarity of 42.1 g of AgNO3 dissolved in 1.75 L of solution?2.31 MB 0.248 MC 0.142 MD 24.1 M The graph represents the length andI height of a wheelchair ramp. Find theslope of the ramp. HELP ILL GIVE BRAINLIEST AND NO LINKS Read this passage from chapter 5 of The Prince.There are, for example, the Spartans and the Romans. The Spartans held Athens and Thebes, establishing there an oligarchy: nevertheless they lost them. The Romans, in order to hold Capua, Carthage, and Numantia, dismantled them, and did not lose them. They wished to hold Greece as the Spartans held it, making it free and permitting its laws, and did not succeed. So to hold it they were compelled to dismantle many cities in the country, for in truth there is no safe way to retain them otherwise than by ruining them.What organizational structure does Machiavelli use to develop the central idea in this passage?argumentativecause and effectcompare and contrastproblem and solution