Answers
Answer:
The proposition is true.
Step-by-step explanation:
Now we proceed to demostrate that expression given is true by algebraic means:
1) [tex]\frac{x^{-1}+y^{-1}}{x^{-1}}+\frac{x^{-1}-y^{-1} }{y^{-1}}[/tex] Given
2) [tex]\frac{y^{-1}\cdot (x^{-1}+y^{-1})+x^{-1}\cdot (x^{-1}-y^{-1})}{x^{-1}\cdot y^{-1}}[/tex] [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]
3) [tex]\frac{x^{-1}\cdot y^{-1}+y^{-2}+x^{-2}-x^{-1}\cdot y^{-1}}{x^{-1}\cdot y^{-1}}[/tex] Distributive property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
4) [tex]\frac{x^{-2}+y^{-2}}{(x\cdot y)^{-1}}[/tex] Commutative, associative and modulative properties/Existence of additive inverse/[tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]
5) [tex][(x\cdot y)^{-1}]^{-1}\cdot (x^{-2}+y^{-2})[/tex] Commutative property/Definition of division
6) [tex](x\cdot y)\cdot (x^{-2}+y^{-2})[/tex] [tex](x^{-1})^{-1}[/tex]
7) [tex]x^{-1}\cdot y + x\cdot y^{-1}[/tex] Distributive property/Associative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
8) [tex](x^{-1}\cdot y^{-1})\cdot y^{2} + (x^{-1}\cdot y^{-1})\cdot x^{2}[/tex] Modulative property/Existence of additive inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
9) [tex](x^{-1}\cdot y^{-1})\cdot (x^{2}+y^{2})[/tex] Distributive property
10) [tex](x\cdot y)^{-1}\cdot (x^{2}+y^{2})[/tex] [tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]
11) [tex]\frac{x^{2}+y^{2}}{x\cdot y}[/tex] Commutative property/Definition of division/Result
Related Questions
HHHHEEEEEEELLLLPPPPPPP !!!!!!
Answers
Answer:
C
Step-by-step explanation:
ANSWER CORRECTLY AND ILL MARK YOU AS BRAINIEST
Six containers have the following ounces in them: 6.2, 8.07, 9.4. 2.11, 5, 6.173 (Do not round your answer
Answers
Answer:
what is the question tho?
Answer:
Hi! The answer to your question is 36.953
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
3rd of the day C: dis for u friend
Answers
Answer:
Thanks for the points!
Step-by-step explanation:
Helps so much if I got that Brainliest crown
You are so generous
Answer:
hi! do you need help with anything? :)
Step-by-step explanation:
Please follow the instructions and thank you and help me fast please
Answers
Answer:
The most important school subject for kids to learn is English. I think it is most important because your improving your fluency in speaking, polishing your writing skills. and also targeting specific skills you need for a particular social envionment.
when taking an english class you Improve your grammer. you are improving it by learning new words and nowing how to pernounce them.
you are polishing your writing skills by having to write essays,summarizes, and other sorts of writing. you also learn all of the elements of writing. learning that is important.
so taking an english class is really important. taking an english class improves alot of different things. it can even help you if you wanted to become a writer.
Solve for x and show work.
Answers
Answer:
44
Step-by-step explanation:
since 88 is the whole angle and your trying to find 1 side you would divide 88 by 2 which gives u 44
please answer 13 and 14
Answers
Answer:
13. Option 3
14.Option 2
Step-by-step explanation:
Option 3 shows that caleb has $5 or less by using the "less than or equal to" sign
Option 2 uses a closed circle to show that $5 is included in the table.
Things to remember that helped me
Closed circle are used for < and > signs to show that the number is being included. They mean "less than or equal to (<)" and "more than or equal to(>)"
Open circles are used for < and > signs. To show that the number is NOT included in the inequality.
Also when looking at the signs < and >, Picture them as arrows. That will show you the direction on the number line they go. For example < is pointing to the left which would mean "LESS THAN" and same with >, its pointing to the right which would mean "MORE THAN"
Answer:
13 - option 3 and 14 - option 2
Step-by-step explanation:
Simplify
(20n−36)−54(35n−20)
Answers
Answer:
-1870n + 1044
Step-by-step explanation:
Which of the following rules represents the set of ordered pairs?
{(5, -1), (3, 7), (1, 15), (0, 19)}
ƒ( x ) = -2 x - 5
ƒ( x ) = 8 x - 23
ƒ( x ) = -4 x + 19
Answers
Answer:
3rd one
.
.
...................
Isabella went to the salon and was charged $72.60 for a cut and color. She added 20% to the cost as a
tip. If there is an 8% sales tax added to the original cost of the service, how much did she pay in
total?
A. $87.12 B. $92.93
C. $100.60
D. 145.20
Answers
At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation:
Answers
Answer:
y(t) = 4 + 1.5t
.
Step-by-step explanation:
Initial amount of snow = 4 inches
Fall rate of snow = 1.5 inch per hour
Equation to model the scenario goes thus :
Initial amount of snow + (fall rate of snow * number of hours)
Let the number of hours = h
4 inches + (1.5 inch per hour * h)
Equation, y(t) becomes ;
y(t) = 4 + 1.5t
What is the middle value of the following data set? 33, 36, 24 31, 39,44,32
Answers
Median (middle ) = 33
Hope that helped or the answer u was looking for
Find the mean of the set of data.
3,2, 9, 3, 8,4,5,8,9, 2
Answers
Answer:
5.3
Step-by-step explanation:
To find the mean you must add up all the numbers in the set then divide them by the number of numbers in said set.
Answer:
Hi! The answer to your question is 5.3
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Kaysha's aunt gave her $5,500 when she was born. Her parents invested it at a rate of 4% interest rate compounded annually. No deposits or withdrawals were made. How much money will Kaysha have when she turns 18 years old?
Answers
Adding & subtracting decimals word problems
Answers
Answer:
7.17 km
Step-by-step explanation:
please like my answer and brainliest me......huhu
can someone help me with my perfect square homework? thank you.
Answers
Answer:
Any better explanation
Answer:
49
Step-by-step explanation:
Given
v² - 14v
To complete the square
add ( half the coefficient of the v- term )² to v² - 14v
v² - 14v + (- 7)²
= v² - 14v + 49
= (v - 7)² ← a perfect square
Follow this link to view Juan's work. Critique Juan's work by justifying correct solutions and by explaining any errors he made. For any errors made, provide and explain a correct response. Be sure to explain each key aspect of the graph.
and y’all please no bitly answers. i’ve been looking everywhere for an answer so please if you answer give the correct answer. :)
Answers
Answer:
Explain more
Step-by-step explanation:
Go to Wyzant for expert
Describe how you know that (8+9)+3 is equivalent to 8+(9+3). What is the benefit to using this property
Answers
Answer:
Associative property of addition
Step-by-step explanation:
The associative property of addition is as follows :
a+(b+c) = (a+b)+c
We have,
a = 8, b = 9 and c = 3
So,
Using above property,
(8+9)+3 = 8+(9+3)
20 = 20
Hence, this is the required solution.
!!!!!!!!! PLEASE HELP !!!!!!!!!!
Solve x² - 6x - 7 = 0
Answers
Answer:
x = 7, -1
Step-by-step explanation:
Consider a perfectly competitive market. The market supply for pizza is given by S(P) = 4P and the market demand is given by D(P) = 120 – P. Now the government implements a new law that every seller has to pay a tax of 15 on each pizza sold. What is the change in producer surplus induced by the tax?
Answers
Find the volume of a pyramid with a square base, where the side length of the base is 14.1 feet and the height of the pyramid is 13.1 feet. Round your answer to the nearest 10th of a cubic foot.
Answers
Answer:
= 868.1ft^3
Step-by-step explanation:
Volume of the square based pyramid = BH/3
B is the base area
H is the height of the pyramid
Base area = Length * Length
Base area = 14.1*14.1
BAse area = 198.81ft^2
Height = 13.1feet
Substitute
Volume = 198.81*13.1/3
Volume of the pyramid = 868.1ft^3
Hence the volume of a pyramid with the square base is 868.1ft^3
Answer: 868.1 ft^3
Step-by-step explanation:
can I get help please
Answers
Answer:
Answer is D
Step-by-step explanation:
Of the choices below, which unit of measurement would be most appropriate for measuring the volume of an ice chest? A. liters B. meters C. kilograms D. milliliters
Answers
Answer:
D. milimeters.
Step-by-step explanation:
Both meter and milimeter are length units. Kilogram is a mass unit. Liter is a volume unit, which is the cube of length in dimension terms. A liter equals 0.001 cubic meters or 1000000 cubic milimeters. Hence, the correct answer is D.
additive inverse of 8/-13 pls help fast
Answers
Answer:
8/13
hope this answer helps you.....
InO0, mCA=150andAB=CD
What is mBD?
Answers
Answer: I’m pretty sure that BD should also be 150
Step-by-step explanation:
The measure of angle O is 75 because the angle is always half of the arc, so knowing that, and also cd and abs are congruent, the other side of o is probably the same as the other, so it’d be 75, multiply by 2 and itll be 150.
Write a true equation based on this diagram
Answers
Mhanifa please help! This is due asap! Look at the picture attached. I will mark brainliest!
Answers
Answer:
The easiest way to solve this is
plot the given points and connect find the missing vertex by adding parallel segments (red dotted) to segments (blue solid) formed by connecting adjacent pointsintersection of those segments is the required vertex#6A(-2,0), B(-2, -2), C(x, y), D(2, 2)
Connect adjacent points:
A with B and A with D.Point C will be (2, 4) in this case
#7A(-1,-3), B(x,y), C(1, 2), D(-1, -2)
Connect adjacent points:
A with D and C with DPoint B will be (1, 1) in this case
Help i will give u brainlest
Erin buys gas at a gas station for $4 a gallon. There is a sale going on at the gas station so that anyone who buys more than 5 gallons of gas only has to pay $3 a gallon for each gallon over 5 gallons. If a person buys more than 10 gallons of gas, each gallon over 10 gallons is only $2 a gallon for every gallon over 10 gallons but less than or equal to 15 gallons.. Erin's tank holds 12 gallons of gas.
Answers
Answer:
39$
Step-by-step explanation:
20+15+4=39$
Help me fast please
Answers
Answer:
81.57 cm
Step-by-step explanation:
divide the actual length by 100 =27.19
times 27.19 by 3= 81.57 cm hope this helps, have a nice day :)
sam deposits 10000 into a savings account that earns 4.25% interest compounded annually. What will be the total amount in the account
Answers
Answer:
With the compound interest calculator, you can accurately predict how profitable ... The total compound interest is $3,926.8. ... Note that in the case where you make a deposit into a bank (e.g., put money in your savings account), you have, ... You invest $10,000 for 10 years at the annual interest rate of 5%.
Step-by-step explanation:
The Jackson's are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and a 5-year loan from two different lenders. complete each table to calculate the total repayment and interest paid for each loan offer.
Answers
Answer:
1
-
year term; $3,666.60
term 1 year total repayment : $35,953.20 Interest paid 953.20
term 5 year total repayment $39,619.80 Interest paid 4,619.80
Step-by-step explanation: