find the value of k if: (2x − y)² − (2x + y)² = 4xyk​

Answers

Answer 1

Answer:

k = - 2

Step-by-step explanation:

( 2x - y )²

Formula : -

( a - b )² = a² + b² - 2ab

Here,

a = 2x

b = y

( 2x - y )²

= ( 2x )² + y² - 2 ( 2x ) ( y )

= 4x² + y² - 4xy

So,

( 2x - y )² = 4x² + y² - 4xy

( 2x + y )²

Formula : -

( a + b )² = a² + b² + 2ab

Here,

a = 2x

b = y

( 2x + y )²

= ( 2x )² + y² + 2 ( 2x ) ( y )

= 4x² + y² + 4xy

So,

( 2x + y )² = 4x² + y² + 4xy

( 2x - y )² - ( 2x + y )²

= 4x² + y² - 4xy - ( 4x² + y² + 4xy )

= 4x² + y² - 4xy - 4x² - y² - 4xy

= 4x² - 4x² + y² - y² - 4xy - 4xy

= 0 + 0 - 8xy

= - 8xy

( 2x - y )² - ( 2x + y )² = 4xyk

- 8xy = 4xyk

Divide 4xy on both sides,

- 8xy / 4xy = 4xyk / 4xy

- 2 = k

k = - 2

Therefore, the value of k is - 2.


Related Questions

Someone help me please!

Answers

Answer:

Your answer is no.

Step-by-step explanation:

It is only proportional up till 3/84, the next one is 4/112, not 4/100

A right cylinder is sliced perpendicular to its base.
What is the shape of the resulting two-dimensional cross section?

A. Triangle
B. Trapezoid
C. Circle
D. Rectangle

Answers

When a right cylinder is sliced perpendicular to its base, the cross section that we will have is

D. Rectangle

Mensuration of Solids

Description of Rectangle

A rectangle is a solid shape with six faces and four vertices, it has two of it sides equal.

Description of Cylinder

We have the square based cylinder, the triangular base cylinder etc.

Unlike the Rectangle, the cylinder has no vertice.

Please see attached the image of cylinders

Learn more about cylinders here:

https://brainly.com/question/9554871

Answer:

The players club is playing with the players

Step-by-step explanation:

give me a good Answer to my Question

What is the scale factor of this dilation? a:1/2 b:2/3 c:3/4 d:3/2

Irma is just learning to play the Happy Fairies video game. In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens. Irma had a total of – 5 points. Then, her fairy house fell over in the wind and she got – 3 points.

Answers

Answer:

-8

Step-by-step explanation:

-5+-3= -8

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expression: -5 + -3 = -8

The total points are -8 points.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Irma is just learning to play the Happy Fairies video game.

In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.

Irma had a total of - 5 points.

Her fairy house fell over in the wind and she got - 3 points.

Now,

The total point:

= -5 + -3

= -5 - 3

= -8 points

Thus,

The total points are -8 points.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

What is the solution to the system of equations below?

x + 3 y = 15 and 4 x + 2 y = 30
(7 , 2)
(2, 7)
(4, 3)
(3, 4

Answers

Answer:

Step-by-step explanation:

x + 3y = 15   ×4

4x + 2y = 30   ×1

4x + 12y = 60

 -       -       -

4x + 2y = 30

      10y = 30

y = 30/10

y = 3

To solve for x, substitute y = 3 into any of the equations

x + 3(3) = 15

x + 9 = 15

x =  15 - 9

x = 6

(6,3)

This should be the answer but I don't see that in the options u listed, so I don't know what else it should be.

The required solution to the system of equations is (x, y) = (6, 3).  

Given the system of equations:

x + 3y = 15

4x + 2y = 30

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(x + 3y) = 2(15)

2x + 6y = 30

Subtract Equation 2 from the modified Equation 1 to eliminate the variable x:

(2x + 6y) - (4x + 2y) = 30 - 30

-2x + 4y = 0

Divide the resulting equation by 2 to simplify it further:

-x + 2y = 0

Now, we have a new equation:

3) -x + 2y = 0

Add the new Equation 3 to the original Equation 1 to eliminate the variable x again:

(x + 3y) + (-x + 2y) = 15 + 0

5y = 15

Solve for y:

y = 15 / 5

y = 3

Now, substitute the value of y back into Equation 1 to find x:

x + 3(3) = 15

x + 9 = 15

x = 15 - 9

x = 6

Learn more about equations here:

https://brainly.com/question/29026989

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What is the difference between 7/10 and 14/15

Answers

Answer:

11

Step-by-step explanation:

if a=17 and b=12 what is the value
of a-b​

Answers

a-b= ?

17-12= 5

? = 5

Please mark as brainliest

Answer:

5

Step-by-step explanation:

Solving

Step 1: Plug in the variables.

[tex](17)-(12)[/tex]

Step 2: Subtract 12 from 17.

[tex]17-12[/tex] [tex]5[/tex]

Therefore, the answer is 5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Joogh bought reaps for $3 each and biscuits for $6 each. The total cost was 108. Write an equation in standard form showing the relationship reaps (x) and biscuits (y)

Answers

Answer:

3x + 6y = 108

Step-by-step explanation:

We are given the cost of x ($3) and y ($6) and the total cost (which will be on the right side of the = sign)We know that x + y = total. This means that we will add $3 and $6 to get the total.You would multiply $3 by x in case there is more than one reap purchased. This applies to biscuits as well.In conclusion, you would use this information to get...3x + 6y = 108 (or $3y + $6y = $108)

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

I p and q vary inversely and p is 8 when q is 6, determine q when p is equal to 12.

Answers

Answer:

Step-by-step explanation:

pls answer , please brainlist

Answers

Option 4. Hope this helps :)

Answer: Option 4 - 1440

Step-by-step explanation:

2 Square Sides : Take 12 times 12 and times by two for both sides.

12 x 12 = 144     144 x 2 = 288

4 rectangular sides : The multiplication of 12 times 24

12 x 24 = 288    288 x 4 = 1152

Added All Together : 288 + 1152 = 1440

Find f( -1 ) with the graph

Answers

we can find the point ( - 1 ; -2) on the curve

so f(-1) = - 2

A rectangular driveway is 40 feet long
and 14 feet wide. What is the
perimeter of the driveway?

Answers

Answer:

p=108

Step-by-step explanation:

Answer:

108 ft^2

Step-by-step explanation:

_____________

|                           |

|                           |

|                           |   40ft

|                           |

|                           |

_____________

           14ft

40+40+14+14 = 108 ft squared

The L.C.M of 2and 4 is what?​

Answers

It is 4



Hope it helps you

Hello.

First, let's clarify what the LCM stands for.

L stands for Least

C stands for Common

M stands for Multiple

So we need to find the Least Common Multiple of 2 and 4.

Let's list the first 5 multiples of 2:

2, 4, 6, 8, 10

Now, the first 5 multiples of 4:

4, 8, 12, 16, 20

As we can see, 4 is the LCM.

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

Starting at noon, the temperature dropped steadily at a rate of 0.8 degrees Celsius every hour. For each of these situations, write and solve an equation and describe what your variable represents. a. How many hours did it take for the temperature to decrease by 4.4 degrees Celsius?

Answers

Answer:

5.5 hours

Step-by-step explanation:

For every 1 hour, there is a 0.8 degrees Celsius drop in temperature.

Let "t" represent the total amount of temperature dropped.

Let "h" represent the number of hours

The given scenario can be represented with the equation below:

[tex] t = 0.8h [/tex]

To find the number of hours (h), it takes for the temperature to decrease by 4.4 degrees Celsius, plug in the value of t in the equation, and solve for h.

[tex] t = 0.8h [/tex]

[tex] 4.4 = 0.8h [/tex]

Divide both sides by 0.8

[tex] 5.5 = h [/tex]

It would take 5.5 hours for the temperature to decrease by 4.4 degrees Celsius.

URGENT

A mailman (M) is located 450 feet from a Post Office (P). The mailman notices a bird (B) flying at a 42° angle of elevation from his line of sight. How high (h) is the bird flying over the Post Office? Round to the nearest whole number. (Show all work)​

Answers

Answer:

We can use the sine law to find h. First, we determine the angle between the line of sight and h:

180 - 90 - 39 = 51 degrees

The sine law states that the ratio of one triangle's angle to the opposite side's length is the same as another angle to its opposite side's length, so we can solve for h as follows:

h/sin(39) = 500/sin(51)

h = 500*sin(39)/sin(51)

When we round to the nearest whole number, we get h = 405 ft.

Find the 10th term of the geometric sequence whose common ratio is
1
and whose first term is 6.

Answers

Answer:

6

Step-by-step explanation:

Use the formula

ar^n-1

where a=6 and r=1

"The sum of a number and one-half of the number is 45. Find the
number." if anyone could tell me the answer and how to get it, id appreciate it!!!

Answers

Answer:

the number is 30

Step-by-step explanation:

the formula i used goes like this

x+2x=45

3x=45

x=15

2x=30

So x is equal to the half number, therefore 2 times x is the whole number. Then you just do algebra to figure it out from there! hope this helps.

Help ASAP!! Do not solve the equation just state it please! If you translate both of these I will give you brainliest!!

1. Write the equation, eight more than the quotient of a number y and negative three is negative 24.

2. Write the equation, seven less than the product of a number and nine is twenty.

Answers

Answer:

1. 8y/-3 = -24

2. 9x - 7 = 20

Sallie Woo worked these hours last week: Monday, 10; Tuesday, 8 1/4; Wednesday, 9 1/2; Thursday, 6; Friday, 8; Saturday, 5. Sallie is paid $11.40 per hour for regular hours, time and a half for overtime during the week, and double time for weekend hours. If Sallie works on an 8-hour day basis, what was her pay for the week?

Answers

Answer:

Her pay for the week= $ 611.325

Step-by-step explanation:

Sallie is paid $ 11.40 per hour for regular hours.

The total regular hours worked during the week are

Monday + Tuesday + Wednesday + Thursday+ friday = 8 + 8+ 8+6+8= 38 hours

She works overtime during the week

Monday + Tuesday + Wednesday = 2+ 1/4+  1 1/2=  2+ 1/4 + 3/2

= 8 +1+ 6/4=15/4 = 3 3/4 hours

Over the weekend she works five hours .

So the total pay would be

$ 11.40( 38 ) + $ 11.40( 1.5) (  15/4) + $ 11.40 ( 2) ( 5)

= 433.2 + 64.125 + 114.0

= $ 611.325

Use a calculator to find decimal estimates to two decimal places (hundredths) for the following irrational number: √19​

Answers

Answer:

The answer is 4.35, rounded two decimals to hundredths place.

some text here to make the answer slightly longer for some good reasons. yep.

Have u seen this question before how should I solve it?​

Answers

Answer:

$6.75

Step-by-step explanation:

We already know that 1 pound is 4.50 so we need to find the 0.5 pounds of beef left

Since half of 4.50 is 2.25 we add that to 4.50

4.50 + 2.25 = 6.75

the answer would be $6.75! you have 1 and a half pounds of beef. so you would have $4.50+half of $4.50. when you divide $4.50 you get $2.25. when you add $4.50+$2.25 you get $6.75!

i hope this helps!:)

how to do this question plz ​

Answers

Step-by-step explanation:

Hey there!

Here;

The equation is; y = 3x + 2

X = -2 -1 1 2

y = -4 -1 5 8

Now; the coordinates are ; (-2,-4), (-1,-1), (1,5), (2,8).

After this plot them on graph.

Hope it helps..

Graham sold 6 magazines less than double what Adrianne sold which of the following Expressions represents Graham's sales 6A minus 2 2.2 C's a - 6/8 squared - 628 - 6 which of the following is the correct answer ​

Answers

Answer: 33

Step-by-step explanation:

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Answers

Answer:

LN and RQ

Step-by-step explanation:

PQR is just an enlargened version of MLN

RQ is just LN but longer

Answer:

-10 vertical and -1 horizontal

Evaluate: |-18|+|-15|+|-8|

Answers

Answer:

18+15+8= 41

Step-by-step explanation:

some words to ask

Add them all together ans youll get the answer

Which graphs show a proportional relationship? Select all that apply.

Answers

Answer:

A, D

Step-by-step explanation:

The graph of a proportional relation is a straight line that passes through the origin.

Answer: A, D

Jason can travel 24 miles in 30 minutes. How many miles can he travel in 120 minutes?

Answers

Answer:

96

Step-by-step explanation:

120/30=4

4x30=120

4x24=96

96 is your answer

I just need help so can someone help me with the answer and walk me through the work

Answers

8. 4x²+3y = 4(4)²+3(5) = 4(16)+15 = 64+15 = 79

basically you have to substitute the variable for the given value. (ex. x is replaced by 4 and y is replaced by 5 and z is replaced by 3) FOR BOTH PROBLEMS!

9. (y+z)/x = (5+3)/4 = 8/4 = 2

Which relationships have the same constant of proportionality between yyy and xxx as the equation y=\dfrac{5}{2}xy= 2 5 ​ xy, equals, start fraction, 5, divided by, 2, end fraction, x? Choose 3 answers: Choose 3 answers: (Choice A) A 5y=2x5y=2x5, y, equals, 2, x (Choice B) B 8y=20x8y=20x8, y, equals, 20, x (Choice C) C (Choice D) D (Choice E) E xxx yyy 111 2\dfrac{1}{2}2 2 1 ​ 2, start fraction, 1, divided by, 2, end fraction 444 101010 777 17\dfrac{1}{2}17 2 1 ​ 17, start fraction, 1, divided by, 2, end fraction

Answers

Answer:

[tex]8y = 20x[/tex]

Step-by-step explanation:

Given

[tex]y=\dfrac{5}{2}x[/tex]

Required

Determine equivalent expressions

A. 5y = 2x

[tex]y=\dfrac{5}{2}x[/tex]

Multiply through by 5

[tex]5 * y=\dfrac{5}{2}x * 5[/tex]

[tex]5y=\dfrac{25}{2}x[/tex]

This is not equivalent

B.  8y = 20x

[tex]y=\dfrac{5}{2}x[/tex]

Multiply both sides by 8

[tex]8 *y=\dfrac{5}{2}x * 8[/tex]

[tex]8y=\dfrac{5 * 8}{2}x[/tex]

[tex]8y=\dfrac{40}{2}x[/tex]

[tex]8y = 20x[/tex]

The other options are not clear.

However, another possible relationship is when

[tex]y=\dfrac{5}{2}x[/tex]is cross multiplied

This gives:

[tex]2y = 5x[/tex]

Answer:

d=          y =x

Step-by-step explanation

i clicked on all the awnser and got it write

What is y=-1/4x+4 written in standard form?

Answers

Answer:

x + 4y = 16

Step-by-step explanation:

have a good day

Answer:

x + 4y = 16

Step-by-step explanation:

If r= 9 units and x = 4 units, then what is the volume of the cylinder shown above?

Answers

Answer:

Volume of the cylinder is. 1017.36

Step-by-step explanation:

[tex]V=\pi r^2h[/tex] is the area of a cylinder.

Let's plug in our values.

-----

3.14 = pi

9 = radius

x = height

-----

V = (3.14)(9)^2(4)

V = (3.14)(81)(4)

V = (3.14)(324)

V = 1017.36

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