Mathematics College

if x = 2 and y=1 then prove that (x-y)²=x²-2xy+y²​

Answers

Answer 1

Answer\Step-by-step explanation:

0≤(x − y)^2 ⟹ 0≤x^2−2xy+y^2

                  ⟹ 2xy≤x^2+y^2

             ⟹ xy≤ x2+y2\2

                  ⟹ xy≤ x^2+y^2

since the clearly nonnegative real x^2+y^2

clearly satisfies x^2+y^2\2  ≤x^2+y^2.

Answer 2

The proof of the quadratic equation  (x-y)²=x²-2xy+y²​ is given.

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

Quadratic equation

(x-y)²=x²-2xy+y²​

To prove the equation:

We substitute the value and see if LHS = RHS.

In the LHS,

LHS =  (x-y)²

LHS =  (2-1)²

LHS =  1

In the RHS,

RHS = x²-2xy+y²​

RHS = 4 - 4 + 1

RHS = 1

LHS = RHS​

Therefore, the theorem (x-y)²=x²-2xy+y²​ is proved.

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Related Questions

f(x) = -4 cual es su grafica​

Answers

M=0 , b=-4
Im not sure

3x+2=14 what number makes the equation true?

Answers

Answer:

Step-by-step explanation:

3x+2=14 subtract 2 from both sides

3x=12 divide both sides by 3

x=4

shows that the points (2,1), (6,2), (5,6), and (1,5) are the vertices of a square. Then obtain the perimeter and area of ​​that square. (remember that a square is defined by having its four equal sides) I need help please?​

Answers

Answer:

The perimeter of this square will be 32 and the Area will be 64

Step-by-step explanation:

I posted a picture of how I got this

Hope this Helped

PLEASE HELP MEEEEEE I need help quickly

Answers

Answer:

60

Step-by-step explanation:

There are sixty students.

15%   =   9

------------------

100% =  x

Cross muliply.

900

------

15x

Divide 15x by 15, and 900 by 15.

Answer is 60.

I hope this helps!

Brainliest would be awesome!

Which is greater, 0.024 or 0.102? How did you get answer?

Answers

Answer:

0.102

Step-by-step explanation:

because 0.102-0.024>0, meaning it has more. also the second number has a . tenth while the first number has 2 hundreths, which is smaller

Answer:

0.102

Step-by-step explanation:

Because 0.024 and 0.102 is compared by digits first digit of THEM both is 0 and its equal second digit is 0 and 1 so 1 is greater than 0 because of the 1 on the 0.102 it is greater

if MJ is in grade 8, then he is 14 years old.​

Answers

Answer:

True

Step-by-step explanation:

because the grade 8 students can be 14 years old

If you can help thankyou!​

Answers

Answer:

its 3

Step-by-step explanation:

lol

Answer:

choice 2)  x = -1/3

Step-by-step explanation:

x^3 = -1/27

x = -1/3

65% of 75 is equal to what number?

Answers

48.75

75/100 x 65 = 48.75

Answer:

48.75

i am sure

hope this helped you

After two six sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?

Answers

6 = 36 because each die has 1 to 6 number on its faces.

Answer:

.222

Step-by-step explanation:

✨6 Grade Math✨ PLEASE HELP I RLLY DONT GET IT

Answers

Answer:

a. 12s + 19j - 3

36 + 28 - 3 = 61

b.

Shirt (per unit cost):

Before Discount: $12

After Discount: $12 - $3 = $9

Jeans (pair cost):

Before Discount: $19

After Discount: $19 - $3 = $16

(12-3)s + (19-3)j

27 + 32 =  $59

How do you solve for a variable?

A. Use the alphabet
B. Displacement
C. Get it by itself

Answers

Answer:

C. Get it by itself

Step-by-step explanation:

When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.

The expression below represents the vertical height above the ground, in meters, of a roller coaster when it is x meters away from the starting station.

x^2+6x=15

Which statement best describes the term 15?


the maximum height of the roller coaster

the horizontal distance from the station when the roller coaster is at its maximum height

the velocity of the roller coaster

the initial height of the roller coaster

Answers

Answer:

D.) the initial height of the roller coaster

Step-by-step explanation:

Answer:

the initial height of the roller coaster

Step-by-step explanation:

Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:

2 1 2 4 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0 4 2 1 3 1 1 3 4 1
2 3 2 2 8 4 5 1 3 1 5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 1 2 3

Required:
a. Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch.
b. What proportion of batches in the sample have at most six nonconforming transducers?
c. What proportion have fewer than six? (Enter your answer to three decimal places.)
d. What proportion have at least six nonconforming units?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

X ___ Frequency ___ relative Frequency %

0_____7 ________11.67

1_____12________20.00

2____ 13 ________21.67

3____ 14 ________23.33

4 ____6 ________10.00

5____ 3 _________5.00

6 ____3 _________5.00

7_____1 _________1.67

8 ____ 1 _________1.67

B.)

(x = 0) + (x = 1) + (x = 2) + (x = 3) + (x = 4) + (x = 5) + (x = 6)

(11.67 + 20.00 + 21.67 + 23.33 + 10.00 + 5.00 + 5.00) = 96.67% = 0.967 (3 decimal places)

C.)

(x = 0) + (x = 1) + (x = 2) + (x = 3) + (x = 4) + (x = 5)

(11.67 + 20.00 + 21.67 + 23.33 + 10.00 + 5.00) = 91.67% = 0.917 (3 decimal places)

D.)

(x = 6) + (x = 7) + (x = 8)

(5.00 + 1.67 + 1.67)% = 8.34% = 0.0834

Chloe has 85 floral beads. She uses 4 floral beads to make each bracelet. She makes as many bracelets as possible. How many floral beads will she have left?

Answers

Answer:

1 bead left over

Step-by-step explanation:

Hi!

With this it looks like you need to divide and also have a remainder.

So what I like to do is actually round down your total to an even number.

So in this case 85 would round down to the even number of 84.

Now she uses 4 per bracelet so you want to do :

84 / 4

=

21

Alright so now we have to remember we took one bead off to make the number even.

That would be one bead since 85 - 84 = 1

So she made 21 bracelets and had 1 bead left over.

I hope this helps!

If you have any questions or concerns feel free to comment or message me! :)

Does the graph represent a function? (will give BRAINLIEST)​

Answers

Answer:

yes, because they are both equal angles.

Step-by-step explanation:

though if it was a curved line it would be a true function

What 5 divided by 4.25.

Answers

Answer:

Step-by-step explanation:

5 divided by 4.25 =  85 reminder 0

WILL GIVE BRAINLIEST!!!
At a table tennis tournament, two games lasted a total of 32 minutes. One game took 12 minutes longer than the other. How long did it take to complete each game? Use letters to represent the unknowns. Solve the problem

Answers

Answer:

22 and 10 minutes

Step-by-step explanation:

x+x+12= 32

2x+12= 32

2x= 20

x= 10 This is one game.

10+12= 22 This is the other game.

Can anyone answer this please

Answers

the answer so d i think

According to monetary theory, which of the following is the main driver in changing economic activity?

A. Exchange rate

B. Money supply

C. Taxes

D. Employment rate

Answers

Answer:

B

Step-by-step explanation:

money supply because this has to balanced out in turn will determine any change in the economic activity.

Karlee has 4 sets of pencils. In each set, 1 pencil is 1/
7 of the pack. All of the packs are full. What is the total number of pencils that Karlee has in her 4 pencil packs?


someone answer plz

Answers

Answer:

karlee has 28 pencils in her 4 pencil packs

Answer:

Its 28

Step-by-step explanation:

because it is

write the supplement of : (x+ 35)^0.
please tell fast​

Answers

Answer:

179

Step-by-step explanation:

(x+35)^0=1

supplement=

180-1

179

Justin flipped a coin and it landed on tails 7 times and heads 3 times. What is the experimental probability that the coin lands on tails the next time he flips it? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW WORK!!)
A. 70%
B. 5040
C. 5.2
D. 4(2X+4)
E. 300%
F. 2.5
G. 5267
H. 4X(2X-4)
I. 299%
J. .4

Answers

Answer:

Step-by-step explanation:

A family wants to rent a car to go on vacation. Company a charges $70.50 and $.50 per mile. Company B charges $35.50 and nine cents per mile. How much moreDoes Company a charge for X miles then company b?

Answers

Answer:

Company A is 1.99 times B.

Step-by-step explanation:

Company A charges:

[tex]A=70.50+0.50=\$71/mile[/tex]  

Company B charges:

[tex]B=35.50+0.09=\$35.59/mile[/tex]

We just need to divide A by B:

[tex]x=A/B=1.99[/tex]

Therefore, company A is 1.99 times B.

I hope it helps you!

     

1. If x is 3, what is 3x + 2x? Plz I need help

Answers

Answer:

15

Step-by-step explanation:

3*3+2*3=15

Answer:

15

Step-by-step explanation: If x equals 3, then you would do 3x3 = 9 and 2x3 = 6. Then add to get 15.

I need help on 21 and 22

Answers

Answer:

Q-22 (a) area of each face (square) = sxs

= 10 x 10

= 100 inches²

Total surface area = 6a²

= 6 x 10 x 10

= 600 inches²

Solve: x (x + 3) = 28

Answers

Answer:

x = 25

Step-by-step explanation:

28 - 3 = 25

Answer:

x = 25

Step-by-step explanation:

The circle below represents one whole.
What percent is represented by the shaded area?
%

Answers

Answer:

25%

Step-by-step explanation:

check

1/4 * 100% = 25%

The region represented by the shaded area has 25% and is 1/4th of the total circle.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

The formula to calculate the area of the circle is given as πr², where r is the radius of the circle.

In the given figure the total area of the circle is πr². The shaded region is one-fourth of the total area of the circle.

Total area =  πr²

Shaded area = ( 1 / 4 )πr²

The percentage of the shaded area will be calculated as

Shaded area = ( 1 / 4 )πr²

Shaded area = ( 0.25 )πr²

To convert it into a percentage multiply by 100.

Shaded area = ( 0.25 x 100 )πr²

Shaded area =25% πr²

Put πr² as the total area.

Shaded area =25% of Total area.

Therefore, the region represented by the shaded area has 25% and is 1/4th of the total circle.

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What is the percent of change from 400 to 600

Answers

Answer:

I dont speak english so i dont know whats is your question

2. En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cuál es el ancho real del castillo?​

Answers

Answer:

Apigy 60918370927710 paojzob pour ta life yzs 029282728

1 3/4 + 2 2/5=
Addition of fractions

Answers

The answer is: 4 3/20

Answer:

Improper fraction: 83/20

Decimal: 4.15

Mixed Number: 4 3/20

Step-by-step explanation:

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