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 ...
1. Name the ray in the figure
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?
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
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
Answer:
8 steps can be cut
Step-by-step explanation:
20 ÷ 2.5 = 8
Pls help I need this now
I NEED HELP WITH THIS
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!!
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
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
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?
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.
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"
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
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
Answer:
84
Step-by-step explanation:
Thank you for the help
help me pzz please please
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
The solid shown below is made by combining two rectangular prisms. What is the total volume of the solid?
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?
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
Answer:
30
Step-by-step explanation:
teacher x
student 18x
18x=540
x=30
I need help plzzzzzzzzzzzzjdbfhrrhebehdbzzzzzzzzzzzzzzzz
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
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.
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.
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
Can anybody help me with this problem?
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.
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
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
[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
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]