Answers
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:
[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
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
The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the median?
Answers
8) Circle each statement that is true
:-5>-8
-7>-4
-15-6
-32
3<-9
10 >8
Answers
PLSSSSS HELPPPPP 20 POINTSSS EASY MATHHHH
How many of each different 2-D shapes do you see?
Answers
There’s 2 triangles, one parallelogram and 2 other triangle thingies
Hope this helps
EXPERTS CALLING IN ALL EXPERTS.
SEARCH UP:cnn 10 April 8th. Watch the video
Give me 10 facts
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.
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
 What is the mathematical term for "the same"?
Answers
Answer:
Equivalent / Equal
Step-by-step explanation:
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
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
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
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
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"
I need help with this
Answers
Answer:
kitkat
Step-by-step explanation:
kitkat
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:
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
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:
What are the steps for 625 to the power of 3/4
Answers
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
What is the cost of 1 pound of grapes?
Answers
No links GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4
Answers
Answer:
smile please :)
Step-by-step explanation:
smile please :)
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.
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?????
1) 2.25
2) 0.35
3) -2.25
4) -0.25
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
can someone please help
find slope/rate of change
a. 1/3
b. 3
c. 30
d. 10
Answers
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°
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
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
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:
:)
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
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
Help me answer this please and thank you.
Answers
Answer:
It is y=2/3+4
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