(2x-y)2-(y+2)2:::::::::::::::

Answers

Answer 1

Answer:

(2x - y )2 - (y + 2)2 = 4 (x - y - 1)

Step-by-step explanation:

[tex](2x -y) 2 - ( y + 2 ) 2 = (4x -2y) -(2y + 4) \\\\[/tex]

                             [tex]= 4x - 2y -2y - 4\\\\=4x - 4y - 4\\\\=4(x-y-1)[/tex]


Related Questions

A line is parallel to y = 3x + 5 and intersects the point (-2 , 6). What is the equation of this parallel line?

Answers

Answer:

y = 3x + 12

Step-by-step explanation:

Slope of y = 3x + 5 is 3

Line parallel will have same slope 3

Line intersects point at (-2, 6)

Replace into y = mx + b to find

6 = 3(-2) + b

6 = -6 + b

12 = b

Equation of line:

y = 3x + 12

Answer:

y = 3x + 12

Step-by-step explanation:

Lines parallel to each other will have the same slope but different y-intercepts. This means that the equation of this parallel line has a slope of 3.

y = 3x + b

Now we need to find the y-intercept by plugging in the point (-2, 6) into the equation. (Replace x with -2 and y with 6.) Then we solve it.

y = 3x + b

6 = 3(-2) + b

6 = -6 + b

+6 +6

12 = b

The y- intercept is 12. So the equation of the parallel line is y = 3x + 12

Change 1/3 to a decimal number (show the working)​

Answers

Answer:

0.33

Step-by-step explanation:

1/3 can also be written as 1 ÷ 3 which equals 0.33

Answer:

0.333333333

Step-by-step explanation

Mario sells electronics at Big Box Electronics Store. He is paid a salary of $250 a week
plus 7% commission on his sales.
a) Write an equation for the line, in slope/y-intercept form, representing his weekly
earnings, E, where Sis his weekly sales. Put this answer into Blank #1.
b) Identify the slope. Put this answer into Blank #2.
c) What does the slope represent? Put this answer into Blank #3.
c) What does the E-intercept represent? Put this answer into Blank #4.
d) What were Mario's sales in the week he earned $530? Put this answer into Blank
#5.
Blank # 1
Blank # 2
Blank # 3
Blank #4
Blank # 5

Answers

Answer:

Step-by-step explanation:

E = 0.07s + 2500.07Salary per weekWhat he makes if he doesn't sell anything that week $4000

can someone help me with this please

Answers

Answer:

I have no clue

Step-by-step explanation:

1. Search online

2. Never count on me again!

Help me or Shrek's donkey won't get pancakes!

Answers

Answer:

A. y=x and y=x+2

Step-by-step explanation:

A.

y=x and y=x+2

The equations both match the slope and intercept of the graphed equations.

Can I have the pancakes instead of the donkey?

The equation x^2+ y^2+ 8x - 12y + 43 = 0 is the equation of a circle. Complete the square to change this
equation to standard form. Find the radius and the coordinates of the center of the circle and then graph the
circle.

Answers

Answer:

ans: centre of circle is ( -4 , 6 )

and radius is 3 unit

WILL GIVE BRAINLIEST AND 20 POINTS!
Find the equation of the line which passes through the point (11,8) and is parallel to the given line. Express your answer in slope-intercept form. Simplify your answer.
6x+8y=15

Answers

y= - 3/4 x + 15/8

hope that helps
[tex]\color{Green}x = - \frac{4y}{3} + \frac{5}{2} [/tex]

Step By Step Explanation:

y = - 3/4× + 15/8Step 1Swap sides so that all variable terms are on the left hand side.[tex] - \frac{3}{4} x + \frac{15}{8} = y[/tex]Step 2Subtract [tex]\frac{15}{8}[/tex] from both sides.[tex] - \frac{3}{4} \times = y - \frac{15}{8} [/tex]Step 3Divide both sides of the equation by -[tex]\frac{3}{4}[/tex] which is the same as multiplying both sides by the reciprocal of the fraction.[tex] \frac{ - \frac{3}{4} \times}{- \frac{3}{4} } = \frac{y - \frac{15}{8} }{ - \frac{3}{4} } [/tex]Step 4Dividing by [tex]-\frac{3}{4}[/tex] undoes the multiplication by [tex]-\frac{2}{4}[/tex][tex]x = \frac{y - \frac{15}{8} }{ - \frac{3}{4} } [/tex]Step 5Divide [tex]y-\frac{15}{8}[/tex] by -\frac{3}{4} by multiplying [tex]y-\frac{15}{8}[/tex] by the reciprocal of [tex]-\frac{3}{4}[/tex][tex]\color{Green}x = \frac{ - 4y}{3} + \frac{5}{2} [/tex]

(Find m∠RTS) m∠RTS=

Answers

Answer:

[tex]m\angle RTS=34^{\circ}[/tex]

Step-by-step explanation:

From the Isosceles Base Theorem, the two base angles of an Isosceles Triangle are equal. Therefore, [tex]m\angle RTS=m\angle TRS[/tex].

Since the sum of the interior angles of a triangle is 180 degrees, we have:

[tex]m\angle RTS +m\angle TRS+112=180,\\2\cdot m\angle RTS+112=180,\\2\cdot m\angle RTS=68,\\m\angle RTS=\boxed{34^{\circ}}[/tex]

solve the system of equations y=2x-3 and y=x^2-3

Answers

I have attached some answers in the photos below hope you find them useful

Answer:

0 and 1

Step-by-step explanation:

Given :

[tex]y= 2x-3\\y=2x^{2} -3[/tex]

Now equate the both equation :

[tex]2x-3=2x^{2} -3[/tex]

2x=2[tex]x^{2}[/tex]

x-[tex]x^{2}[/tex]=0

x(1-x)=0

x=0

1-x=0

x=1

Therefore, x=0,1

someone PLSSS HELPPP fast plsss !!!

Answers

5a^10-2 I’m pretty sure that’s the right answer

What is the value of x in the triangle?
45°
7
X
45°
A. 7
B. '14
C. 72
D. 7V2
2

Answers

Answer:

c

Step-by-step explanation:

the value of x can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

The triangle is an isosceles triangle

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Thus the value of the base is also 7

7²  + 7²

49 + 49

= 98

√98 = 9.899 = 7√2

Area of the base=

A) 8 pie square units
B) 16 pie square units
C) 64 pie square units

Answers

Answer:

16 pi

Step-by-step explanation:

The base is the circle

A = pi r^2

A = pi (4)^2

A = 16 pi

Answer: 16[tex]\pi[/tex] square units

Step-by-step explanation:

This figure is a cylinder. The base of a cylinder is a circle. The formula for finding the area of a circle is [tex]\pi r^2[/tex]. The radius in the image is 4. Now we can solve

[tex]\pi 4^2\\\pi 16\\16\pi[/tex]

Which data type is variable 'a' as per below code?(numeric/non-numeric) Dim a as integer a=10 for grade 7 Computer

Answers

Answer:

The answer is "numeric".

Step-by-step explanation:

The Dim keyword is used in Visual Basic which is used to establish the dependent variable and other information such as the code that the variable may access the variables, computer utilizes the statement Dim. The dimensions are brief and then used to define variables. The Dim statement is placed just after sub definition only at the start of a VBA module (short for Subroutine).The variable to hold an integer value is seen in the above example.

Use the following to write and solve a proportion to find the values of X, Y and Z. ​

Answers

Answer:

x = 48-32 = 16

y = 32/16 × 10 = 20

z = 48/32 × 26 = 39

Can someone pls help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Y=7

Step-by-step explanation:

the 7 is the y value. the y value is = 7 when x =2

Calculate the length of line segment XY in each triangle.

Please No Docs/No File Only real answer
25 points and a 5 star rated

Answers

Answer:

XY = 10 cm

Step-by-step explanation:

XY is a midsegment and is half the length of the 3rd side DE, that is

XY = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 20 = 10 cm

When drawn in standard position, in which quadrant does the terminal side of the angle −240° lie?

Answers

Answer:

Option (2)

Step-by-step explanation:

All angles are positive when measured counterclockwise from the x-axis.

Terminal side of 240° degrees when measures counterclockwise will lie in the 3rd quadrant.

But the angle is -240°.

That means angle is being measured clockwise from the x-axis.

Therefore, terminal side of the of the angle will be in the 2nd quadrant.

Option (2) will be the correct option.

Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information.

Answers

Answer:

x = amount of raisins

y = amount of peanuts

x+y = 5

1.50x+2.50y = 10.50

Step-by-step explanation:

I can't see a table, and im not sure what the question is, but anyways,

you solve this by using elimination or substitution in the system of equations.

Personally, substitution is easier for me so:

x+y = 5

y=5-x

1.50x+2.50(5-x) = 10.50

1.50x+12.50 -2.50x = 10.50

-1x+12.50 = 10.50

-x+12.50-12.50 = 10.50-12.50

-1x = -2

-1x/-1 = -2/-1

x = 2

y =5-x

y=5-2

y=3

Since x was the amount of raisins, and y was the amount of peanuts, we can say that Jeremy used two pounds of raisins and 3 pounds of peanuts to make his 5 pounds of trail mix.  

14895 decreased by 3%

Answers

1448.15 is your answer

The pH of a solution is a measure of the quantity of hydrogen atoms (H) in the solution. It is given by the formula f(x) = −log x. In the formula, x = [H+], the molar concentration of hydrogen atoms, or the number of moles of hydrogen atoms per liter of solution

Answers

The question is incomplete. The complete question is :

The pH of a solution is a measure of the quantity of hydrogen atoms (H) in the solution. It is given by the formula f(x) = −log x. In the formula, x = [H+], the molar concentration of hydrogen atoms, or the number of moles of hydrogen atoms per liter of solution

The approximate molar concentration of several chemicals are given. Find the pH of each. Use the calculator and round to the nearest tenth, if necessary.

Oven cleaner: [H+] = 10−13 pH =

Water: [H+] = 0.0000007 pH =

Blood: [H+] = 0.00000004 pH =

Vinegar: [H+] = 0.0063 pH =

Solution :

Given formula :

f(x) = −log x

Here,  x = [H+] = molar concentration of hydrogen atoms

Therefore, the pH of each of the following solution are :

Oven cleaner

[[tex]$H^+$[/tex]] = [tex]$10^{-13}$[/tex]

pH = - log [[tex]$H^+$[/tex]]

     = [tex]$- \log 10^{-13}$[/tex]

     = 13

Water

[[tex]$H^+$[/tex]] = 0.0000007

pH = - log [[tex]$H^+$[/tex]]

     = - log 0.0000007

     = 6.2

Blood

[[tex]$H^+$[/tex]] = 0.00000004

pH = - log [[tex]$H^+$[/tex]]

     = - log 0.00000004

     = 7.4

Vinegar

[[tex]$H^+$[/tex]] = 0.0063

pH = - log [[tex]$H^+$[/tex]]

    = - log  0.0063

    = 2.2

     

PLEASE HELP!!!!!! A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?

A. Y= 3/2x - 12
B. Y= 3/2x + 12
C. Y= 2/3x - 12
D. Y= -12x - 3/2

Answers

Answer:

A, y = 3x/2 - 12

Step-by-step explanation:

Use the equation y = mx + b.

m = 3/2

b = -12

y = 3x/2 - 12

Answer:

Here is your Answer

Step-by-step explanation:

Its A

A. Y = 3/2x - 12

What is Euclid's fifth postulate?

How would you rewrite Euclid’s fifth postulate so that it would be easier to understand?​

Answers

Step-by-step explanation:

espero que te ayude amigo

The voltage E in an electrical circuit is modeled by E=3.8cos(110π t). What is the maximum voltage?

Answers

Answer:

Max E=3.8 Voltage

Step-by-step explanation:

[tex]maximum-value -of cos(\theta) =1, when \theta=0,360,720\\110\pi t=0, therefore t=0, 1.04, 2.08 etc[/tex]

The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.

What is the range of the trigonometric function cosine?

The range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.

How do we solve the given question?

We are given that the voltage E in an electrical circuit is modeled by E = 3.8cos(110π t).

We are asked to find the maximum voltage E that can be obtained from the circuit.

The voltage E = 3.8cos(110π t).

In the given formula 3.8 is constant and cos(110π t) is variable. The value of E is maximum when the trigonometric function cos(110π t) attains the maximum value.

Since its a cos function, the maximum value it can attain = 1, as the range of the trigonometric function of cosine, that is, cos θ, is [-1, 1], that is, -1 ≤ cos θ ≤ 1.

When the variable attains the maximum value = 1, the value of the voltage E  = 3.8*1 = 3.8.

∴ The maximum voltage for the electric circuit is E = 3.8 when the value of the trigonometric function cos(110π t) has the maximum value = 1, from the range of cosine function.

Learn more about the ranges of trigonometric functions at

https://brainly.com/question/9565966

#SPJ2

A box contains 12 white balls, 6 green balls, and 2 red balls. If a ball is picked
at random from the box, what is the probability that a ball picked is a green ball?

Answers

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

12 + 6 + 2

20

[tex]\frac{6}{20}= \frac{6/2}{20/2}=\frac{3}{10}[/tex]

please help!!!! been stuck on this for awhile now i’m so confused

Answers

Answer:

5π/6 to the right

π/6 to the right

The money m (in £) Billy has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £150 a week and pays £42 in tax.

Answers

Answer:

m = w - t

£108

Step-by-step explanation:

m = Money Billy has to spend per week :

m = wage, w - tax, t

Hence,

m = w - t

Given;

Wage = £150 ; tax = £42

m = £150 - £42

m = £108

How would you solve this problem??

Answers

Answer:

x = 14000

Step-by-step explanation:

Function representing the cost to the company,

C(x) = -27x² + 51000x + 20433

Function defining the revenue generated,

R(x) = -36x²+ 303000x

Since, Profit to the company = Revenue - Cost

                                                = R(x) - C(x)

P(x) = -36x² + 303000x - (-27x² + 51000x + 20433)

      = -36x² + 27x² + 303000x - 51000x - 20433

P(x) = -9x² + 252000x - 20433

To maximize the profit,

P'(x) = -18x + 252000 [Derivative of the function P(x)]

P'(x) = 0

-18x + 252000 = 0

18x = 252000

x = 14000

Therefore, for the maximum profit company has to produce and sell 14000 phones.

Kofi and Kojo were given 380 cedis to share, Kojo had 15 cedis more than Kofi. If Kofi's share is x, find an expression for Kojo's share.Hence find how much each received.

Answers

Answer:

kojo = x + 15

kofi = $182.50

kojo = $197.50

Step-by-step explanation:

kofi = x  

kojo = x + 15 (since Kojo h as 15 cedis more than Kofi)

380= x + 15 + x

2x + 15 = 380

combine like terms

2x = 380 - 15

2x = 365

x = 182.50

Kojo = 15 + 182.50 = $197.50

What value of x is in the solution set of 9(2x + 1) < 9x - 18?
-4
-3
-2
-1

Answers

Answer:

The only possible answer that is correct is the first one, x = -4.

Step-by-step explanation:

Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3.  The only possible answer that is correct is the first one, x = -4.  -4 < -3 is true.

Step-by-step explanation:

9(2x + 1)<9x - 1818x + 9 < 9x - 1818x - 9x < - 18 - 99x < 27x = 27/9x = 3.

What is the total number of digits required in numbering the pages of a book, which has 1, 150 pages?

Answers

Answer:

3,493 digits

Step-by-step explanation:

Total pages of the book = 1,150

Page 1 - 9 = 9 digits

Page 10 - 99

= 2 * 90 pages

= 180 digits

Page 100 - 999

= 3 × 900 pages

= 2,700 digits

Page 1000 - 1,150

= 4 × 151 pages

= 604 digits

Total digits required in numbering 1,150 pages = 9 + 180 + 2,700 + 604

= 3,493 digits

Total digits required in numbering 1,150 pages = 3,493 digits

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