(2x–y)²–(y+2)²-----------

Answers

Answer 1

Answer:

4x² -4xy -4y -4

Step-by-step explanation:

[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

In this case, a= 2x -y and b= y +2.

(2x -y)² -(y +2)²

= (2x -y +y +2)[2x -y -(y +2)]

= (2x +2)(2x -y -y -2)

= (2x +2)(2x -2y -2)

= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)

= 4x² -4xy -4x +4x -4y -4

= 4x² -4xy -4y -4

Alternatively, start by expanding the brackets.

[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]

[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]

(2x -y)² -(y +2)²

= 4x² -4xy +y² -(y² +4y +4)

= 4x² -4xy +y² -y² -4y -4 (expand)

= 4x² -4xy -4y -4 (simplify)


Related Questions

Solve for x. -16 = x/4 + 2
72
0 -32
O -72
O 32

Answers

Answer:

x = - 72

Step-by-step explanation:

Given

- 16 = [tex]\frac{x}{4}[/tex] + 2 ( subtract 2 from both sides )

- 18 = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

- 72 = x

Answer is = - 72

It's a Right answer....

Mark me as brainliest....

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a
15% alcohol solution. The equation 0.10x + 0.15(50 -x) = 0.12(50) can be used to find the amount of 10% alcohol
solution Bruce should use.
How much of the 10% alcohol solution should Bruce use?
40
mL
How much of the 15% alcohol solution should Bruce use?
mL aASAP

Answers

Answer:

x = 30 ml of 10%

50 - x = 20 ml of 15%

Step-by-step explanation:

0.10x + 0.15(50 - x) = 0.12(50)

distribute

0.10x + (7.5 - 0.15x) = 6

Combine like terms

-0.05x = -1.5

Divide both sides by -0.05

x = 30 ml of 10%

50 - x = 20 ml of 15%

if the time is 7:32 what time will it be in 9 hours and 25 minutes?

Answers

Answer:

The time would be 4:59

Step-by-step explanation:

Find the slope of a line thrcfugh the points (3, 2) and (11, 7). Round your
answer to 1 decimal place.
slope
Y2M
32-1

Answers

Answer:   0.6

Work Shown:

m = (y2-y1)/(x2-x1)

m = (7-2)/(11-3)

m = 5/8

m = 0.625

m = 0.6

will give brainliest !!PLSS HELP fast !! and explain

Answers

Answer:

C

Step-by-step explanation:

Difference means subtraction. That makes B incorrect.

D is wrong because we have no way of knowing if g and h are squares.

A is wrong because the numerical numbers (2 and 6) are not perfect squares. Even if you take out a 2 you are not left with numbers that are prefect squares.

That leaves with C which is the correct answer. The literals are perfect squares and so are the numbers.

Answer:

C

Step-by-step explanation:

15
9
determine the value
coso

Answers

Answer:

36.87°

Step-by-step explanation:

Given the right angle triangle :

To obtain the value of Cosθ ; we use the trigonometric relation :

Cosθ = Adjacent / Hypotenus

The adjacent angle isn't given :

Opposite = 9 ; hypotenus = 15

Adjacent = √(hypotenus ² + opposite ²)

Adjacent = √(15² - 9²)

Adjacent = √(225 -81)

Adjacent = √144 = 12

Hence,

Cos θ = 12/15

θ = Cos^-1(12/15)

θ = 36.87°

While she was on holiday,Olga measured the temperature at the same time every day. Here are the results. Work out the median: The range of the temperatures

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required data are not given.

I will use the following data as an illustration of how to calculate median and range.

We have:

[tex]x: 11, 13, 14, 15, 18, 20[/tex]

Calculate range

Identify the highest and the least

[tex]Highest = 20[/tex]

[tex]Least = 11[/tex]

So, the range is:

[tex]Range = Highest -Least[/tex]

[tex]Range =20-11[/tex]

[tex]Range =9[/tex]

Calculate the median

The number of data we are using is 6 (i.e. even).

So, the position of the median item is:

[tex]Median =\frac{1}{2}(n+1)[/tex]

[tex]Median =\frac{1}{2}(6+1)[/tex]

[tex]Median =\frac{1}{2}*7[/tex]

[tex]Median =3.5th[/tex]

A decimal result implies that the median is the mean of the integer values before and after the result.

In this case, the median is the mean of the item at 3rd and 4th positions.

So:

[tex]Median = \frac{14+15}{2}[/tex]

[tex]Median = \frac{29}{2}[/tex]

[tex]Median = 14.5[/tex]

Determine the mean, median, and mode of the data set.
37, 12, 32, 23, 12, 40, 11, 12, 10, 23, 27
a.
C.
mean=22
median=40
mode=23
mean=21.7
median=23
mode=12
b. mean=20
d. mean=22
median=20
median=12
mode=12
mode=23

Answers

Answer:

mean=21.7

median=23

mode=12

Step-by-step explanation:

Mean=37+12+32+23+12+40+11+12+10+23+27/11

=21.7(3 s.f)

Median: 10,11,12,12,12,23,23,27,32,37,40

Median=23

Mode=12

find the area of the Shaded sector. round to the nearest hundreds place
HELP!!! ASAP​

Answers

Answer:

[tex]192.27\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of sector with radius [tex]r[/tex] and measure [tex]\theta[/tex] is give by [tex]A=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Since vertical angles are congruent, the two shaded sectors in the figure are congruent.

What we're given:

2 sectors of equal areaEach sector has a radius of 9 cmEach sector has a measure of 136 degrees

Therefore, the area of the shaded regions (two sectors) is:

[tex]A=2\cdot 9^2\pi\cdot \frac{136}{360}=192.2654704\approx \boxed{192.27\:\mathrm{cm^2}}[/tex]

What is the value of k?

Answers

Answer:

10

Step-by-step explanation:

Top angle of tri:

180 - 115 =

65

So:

65+4K+5+6k+10 = 180 (angles in tri add to 180)

Solve:

80+10k = 180

10k = 100

K = 10

Answer:

10

Step-by-step explanation:

y = 180 - 115

y = 65

Total of angles in a triangle is 180

(4k + 5) + (6k + 10) + 65 = 180

combine like terms

10k + 80 = 180

Subtract 80 from both sides

10k = 100

Divide both sides by 10

k = 10


7. Mandy has a total of 150 nickels and
dimes, which amount to $12. How
many
of each coin does she have?

Answers

Answer:

100 dimes and 50 nickels

Step-by-step explanation:

5×50=2.00

10×100=10.00

Which of the following is a polynomial?

Answers

I think the answer is D.

if one side of a triangle measures 37 degrees and the other side measures 56 degrees, what is the angle of the third side?

Answers

180-(37+56)= third side

The ordered triple for U is (-1,5,0). To graph this point in three- dimensional coordinate space, do the following.

From the origin, move back 1 units, right_ units, and down 0 units



A. 0
B. 5
C. 1

Answers

Answer:

the answer is B

Step-by-step explanation:

Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minus, 8, right parenthesis and (8,5)(8,5)left parenthesis, 8, comma, 5, right parenthesis. Use exact numbers. y=y=y, equals

Answers

Answer:

y=13/4 x -21

or in khan 13/4x - 21

GIMMIE BRAINLIEST OR SOMETHING

Work:

Slope = 5-(-8)/(8-4)

=13/4

So the equation is y=13/4x + b

plug it in and the equation is

y=13/4 x -21

Answer:

13/4 x-21

Step-by-step explanation:

:D

What is the vertex of the function f(x) = x2 + 12x?

(–6, –36)
(–6, 0)
(6, 0)
(6, –36)

Answers

Answer:

(- 6, - 36 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = x² + 12x ← is in standard form

with a = 1, b = 12, c = 0 , then

x = - [tex]\frac{12}{2}[/tex] = - 6

Substitute x = - 6 into f(x) for corresponding value of y

f(- 6) = (- 6)² + 12(- 6) = 36 - 72 = - 36

vertex = (- 6, - 36 )

Answer:

A: (-6, -36)

Step-by-step explanation:

This should be the right answer on edge,

please correct me if I'm wrong.

What is the image point of (0,1) after the transformation D4 R90?
Please and thank you

Answers

Answer:

Image point → (-4, 0)

Step-by-step explanation:

Coordinate of a point → (0, 1)

Rule for the transformation has been given as,

D₄ o R₉₀

First use R₉₀ → Rotation of the point by 90° counterclockwise

Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,

(x, y) → (-y, x)

(0, 1) → (-1, 0)

Further use D₄ → Dilation of the point by a scale factor of 4 about the origin

If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,

(x, y) → (kx, ky)

By applying this rule,

(-1, 0) → (-4, 0)

Therefore, image point will be → (-4, 0)

PLS HELP. ITS FOR AN ASSIGNMENT DUE SOON!!! IF YOU DONT KNOW THE ANSWER PLEASE DONT SAY ANYTHING.


the sum of three out of four numbers( omitting each of the four numbers in turn) are 20, 22, 24 and 27, respectively. What is the sum of the four numbers?​

Answers

Answer:
The numbers are 9, 7, 4, 11

mich inequalities are true?
√5 <2.3 < 56
√5 <2.4 < 56
74 < 5 5.5
√3 <3 <3
V8 <2.9
√A <4.5 < 5
Which sets of inequalities are true

Answers

Answer:

[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]

[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]

[tex](e)\ \sqrt 8 <2.9[/tex]

[tex](f)\ \sqrt5 <4.5 < 5[/tex]

Step-by-step explanation:

Required

Which are true

[tex](a)\ \sqrt5 <2.3 < 5.6[/tex]

Take square root of 5

[tex]2.2 <2.3 < 56[/tex] --- This is true

[tex](b)\ \sqrt 5 <2.4 < 5.6[/tex]

Take square root of 5

[tex]2.2 <2.4 < 56[/tex]  --- This is true

[tex](c)\ 7.4 < 5 <5.5[/tex]

This is false because [tex]7.4 > 5[/tex]

[tex](d)\ \sqrt 3 <3 <3[/tex]

This is false because [tex]3 = 3[/tex] not [tex]3 < 3[/tex]

[tex](e)\ \sqrt 8 <2.9[/tex]

Take square root of 8

[tex]2.8 <2.9[/tex] --- This is true

[tex](f)\ \sqrt5 <4.5 < 5[/tex]

Take square root of 5

[tex]2.2 <4.5 < 5[/tex] --- This is true

how many ways can a person toss a coin 14 times so that tge number of tails is between 7 and 12 inclusive​

Answers

Answer:

8 tails I think so If the answer is correct plz mark me the brainliest

plzz help............​

Answers

Answer:

14. (8,9,10)

15.no(A)

this is the answer

Write a linear equation in one variable for each of the following situations:

a) The ages of Rahim and his father are 16 years old and p years old respectively. Rahim’s father is 29 years older than Rahim.

b) Sulaiman buys m chairs which cost RM5.90 each. He pays RM50 and receives a balance of RM20.50

Answers

Answer:

a) 16 + 29 = p

or

a) p - 16 = 29

b) is confusing

Step-by-step explanation:

With a line 7 cm long. Use a set square and a ruler and draw perpendicular lines at both ends

Answers

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

Steps of construction:

Step I - Draw a line segment AB = 7 cm with the help ruler. Step II - with vertex A, by using compass take more than half of AB and draw arcs, one on each side of AB. Step III - with vertex B, by using a compass with the same length, cut the previous arcs at X and Y respectively. Step IV - with help of the ruler join the points X and Y Thus XY is the perpendicular bisector of line AB.

(For Diagram please find in attachment)

Someone help please❤️ & Thankyou!!

Answers

Answers:

300 = 12i+36si = 10Yes it's reasonablei = -11

Refer to the diagram below.

The explanation for each part is below as well.

========================================================

Part 1

i = number of individual nail polish bottles

s = number of sets of 4

12i = money earned from just selling the individual bottles only

36s = money earned from just selling the sets of 4 only

12i+36s = total money earned = 300

12i+36s = 300 is the equation to set up

This is the same as 300 = 12i+36s  because A = B is the same as B = A.

========================================================

Part 2

Plug in s = 5 to represent she sold 5 sets. Let's solve for i

12i+36s = 300

12i+36(5) = 300

12i+180 = 300

12i = 300-180

12i = 120

i = 120/12

i = 10

If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.

========================================================

Part 3

Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.

========================================================

Part 4

We'll repeat part 2 but with s = 12

12i+36s = 300

12i+36(12) = 300

12i+432 = 300

12i = 300-432

12i = -132

i = -132/12

i = -11

As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.

The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.

A
2
The distance AB
rounded to the
nearest tenth = [?]
-1
0
2
2
-
Hint: Use the distance formula:
d= (x2 – x1)2 + (72- y)2
Enter

Answers

Answer:

ssueuwuwiaiwaiaiiaiw

A cylinder-shaped sculpture is 24 meters high with a diameter of 6.8 meters. An artist plans to paint the entire surface blue. If one can of paint covers 50 square meters, how many cans does the artist need to paint the sculpture

Answers

Answer:

11.70cans ≈ 12cans

Step-by-step explanation:

According to question,

Given,A cylinder-shaped sculpture is 24 meters high with a diameter of 6.8 meters . thus Radius is 6.8/2 = 3.4 meters .And, An artist plans to paint the entire surface blue. & one can of paint covers 50 square meters.

Now,First we have to find the total surface area of cylinder

total surface area of cylinder=2×π×r² + 2×π×r×h

Put values,we get

⇒2×3.14×3.4² + 2×3.14×3.4×24

⇒585.0448 square meters

Now,one can of paint covers 50 square meters.

So,To paint 585.0448 m² Area We need 585.0448 / 50 = 11.70Cans

Total Cans needed is 11.70cans ≈ 12cans .

list the integers satisfy the inequality -1 less than 2x - 5 less or equal to 5

Answers

Answer:

integers are { 3 , 4 , 5 }

Step-by-step explanation:

- 1 < 2x - 5 ≤ 5

- 1 + 5 < 2x - 5 + 5 ≤ 5 + 5                           [ adding by 5 ]

4 < 2x + 0 ≤ 10

4 < 2x ≤ 10

2 < x ≤ 5                                                     { divide by 2 ]

Therefore, integers are { 3 , 4 , 5 }

Find the equation of a line that is parallel to y = x + 1 and passes through the point (3,-4).
Give your answer in the form y = mx + b.

Answers

Given:

The equation of a line is:

[tex]y=x+1[/tex]

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

[tex]y=x+1[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]m=1[/tex]

Slope of the given line is 1.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.

The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-4)=1(x-3)[/tex]

[tex]y+4=x-3[/tex]

Subtracting 4 from both sides, we get

[tex]y=x-3-4[/tex]

[tex]y=x-7[/tex]

Therefore, the equation of the required line is [tex]y=x-7[/tex].

What is the slope of the line containing (-2,5) and (4, -4)?
O A. -2
O B.
3
2
O c. 2
O D.
3
2

Answers

Answer: slope is -3/2

Step-by-step explanation:

(-2,5) (4,-4)

Use the slope formula y2-y1/x2-x1

5-(-4)/-2-4 = -3/2

Answer:

The slope of the line containing (-2,5) and (4,-4) is [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

Please help me figure out this problem

Answers

Answer:

There was no van stated in the question, but if the van was the truck, the answer would be $50.

Step-by-step explanation:

We can split the problem into 2 parts. First, there is a flat fee of $30 to rent the truck.

Now, we can calculate the cost to rent the truck for 80 miles excluding the flat fee by multiplying the values together.

$0.25/mile * 80 miles = $20

Now, we can add the values up.

This will give us: $30 + $20 = $50

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