line y=3x-1 is transformed by a dilation with a scale factor of 2 and centered at (3,8) what is the lines image in an equation form

The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

What is counterclockwise ?

Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.

According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:

(x', y') = (-y, x)

where (x, y) is the original point and (x', y') is the new point after the rotation

Plugging in the values from the given point, we get:

(x', y') = (-(-8), -7)

Simplifying this expression, we get:

(x', y') = (8, -7)

Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

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Answer: Buying the 5 tickets to the next hockey game is better because the unit price is only 16$

Step-by-step explanation:

80 / 5 = 16

50 / 3 = 16.666

Answer:

Area of the plot of the land is 4840 square units.

Step-by-step explanation:

Let's draw the rectangle approximately on an x y plane. That would help us to find the length and width of the rectangle.

Answer: 4,480yd^2

Step-by-step explanation:

You have the x and y coordinates of the vertices (10, 10), (10,90), (70.5,90),  and (70.5, 10) you have the coordinates: x and y as the first two which are the ones in bold. From that you do 70.5-10= 60.5.

Then you subtract the x and y coordinates again, which are underlined. From that do 90-10=80

Last you do 60.5x80=4,840 yards squared

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Hope this Helps!!!

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

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hope it helps

Answer:

3. - 8n² -8n + 3

Step-by-step explanation:

(4n^4 - 8n +4) - (8n² + 4n^4 +1)

Firstly, open the brackets.

= 4n^4 - 8n +4 - 8n² -  4n^4 - 1

Now, group like terms.

= 4n^4 - 4n^4 - 8n² -8n - 1 + 4

4n^4 - 4n^4 cancel out with each other since one is negative and the other is positive. So we're left with - 8n² -8n - 1 + 4

= - 8n² -8n - 1 + 4

= - 8n² -8n + 3

Answer:

Step-by-step explanation:

The employee earns $10,100/month, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $124,740 during the year. He has requested that his employer withhold 12% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $

(a) Simon's salary three years ago is $33586.576.

(b) Gross monthly salary at the present is $2798.88.

(C)  Net pay per month is $2169.09.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The Simon's salary at present = $35730.40 p.a.

Increased rate = 6% = 0.06

(a) Simon's salary three years ago:

⇒ [tex]\$35730.40(0.06)[/tex]

⇒ [tex]\$2143.824[/tex]

Original salary of Simon,

⇒ [tex]35730.40-2143.824[/tex]

⇒ [tex]\$33586.576[/tex]

(b) Gross monthly salary at the present:

⇒ [tex]\frac{33586.57}{12}[/tex]

⇒ [tex]2798.88[/tex]

(C)  Net pay per month:

Deductions each month amount to 22.5% of his gross salary,

⇒ [tex]22.5\%=0.225[/tex]

⇒ [tex]2798.88(0.225)[/tex]

⇒ [tex]\$629.79[/tex]

Thus net pay per month,

⇒ [tex]2798.88-629.79[/tex]

⇒ [tex]\$2169.09[/tex]

Hence we can conclude that

(a) Simon's salary three years ago is $33586.576.

(b) Gross monthly salary at the present is $2798.88.

(C)  Net pay per month is $2169.09.

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2.25$. The call is priced at 15 cents per minute

Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

Answer:

5ft

Step-by-step explanation:

Answer:

A : 25

Step-by-step explanation:

In a neutral atom, the number of electrons is equal to the number of protons. The atomic number indicates the number of protons.

The mass number is the sum of the number of neutrons and the number of protons.

mass number=protons+neutrons

As we know from the atomic number, the number of neutrons is 14 and the number of electrons is 11.

mass number = 14 + 11

Answer:

$425

Step-by-step explanation:

475 - 50 = 425

Answer:

128

Step-by-step explanation:

couculator mhm thats all

Answer:

[tex]160cm^{2}[/tex]

Step-by-step explanation:

Surface Area = [tex]2(wl+hl+hw)[/tex]

w = 4

l = 8

h = 4

[tex]2((4*8)+(4*8)+(4*4))[/tex]

[tex]2(32+32+16)[/tex]

[tex]A = 160[/tex]

Answer:

12.79%

Step-by-step explanation:

Let :

Great grand mother = 86 years

Jenny = 11 years

Let the percentage = x

x % of great grandmother's age = Jenny's age

x% * 86 = 11

x/ 100 * 86 = 11

86x / 100 = 11

86x = 100 * 11

86x = 1100

x = 1100/86

x = 12.79

x = 12.79%

Answer:

you already have x solved for so you plug 5-3y into the x in -6x and you get -6(5-3y)+5y=16

-30+18y+5y=16

-30+23y=16

23y=46

y=2

x=5-3(2)

x=5-6

x=-1

Step-by-step explanation:

Answer:

z = 2.12

Step-by-step explanation:

4.62 +3 - 3.6z = 0

7.62 - 3.6z = 0

-3.6z = -7.62

z = 2.12

Answer:

596.34m approx

Step-by-step explanation:

Given data

Let the Starting point be x

A helicopter flew north 325 meters from x

Then flew east 500 meters

Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position

x^2= 325^2+500^2

x^2=105625+250000

x^2= 355625

x= √355625

x=596.34m

Hence the distance from the starting point is 596.34m approx

Answer:

x = 20°

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary.

x + 160 = 180

x = 20°

Answer:

ok

Step-by-step explanation:

Answer: a reflection across the x-axis

Complete question :

Merlin wants to make more money selling fake beards this month than he did last month. All black beards in his shop cost the same amount of money, and all red beards in his shop cost $25. Let B represent the number of black beards and R represent the number of red beards that Merlin can sell to make more money than he made last month. 20B+25R > 350 According to the inequality, how much money did Merlin make last month, and how much does each black beard cost?

Answer:

1.) > 350

2.) $20

Step-by-step explanation:

Number of black beard = B

Number red beard = R

Cost of red beard = 25

Last month inequality :

20B+25R > 350

Amount Merlin made last month :

Revenue from both red and black Bearf, Hence amount realized last year greater than 350

Cost per black beard is the Coefficient of B which is 20

Answer:

I'm sure it is 25 hope this helps!!!

Answer:

Should be 25

Step-by-step explanation:

Lol is that pearson realize? i hate that buddy good luck

Answer:

p(e)=e-3

Step-by-step explanation:

De acuerdo a la información proporcionada, sabes que Paul tenía una determinada cantidad e y al comprar el libro recibió 3 de vuelto, lo que significa que el precio del libro sería igual a restar 3 de la cantidad que tenía al inicio, lo cual se puede expresar de la siguiente forma:

p(e)=e-3, donde

p es el precio del libro

e es la cantidad que Paul tenía al inicio

Answer:

The answer is below

Step-by-step explanation:

Two triangles are similar if the ratio of their corresponding sides are in the same proportion.

1. ΔWXY is isosceles with legs WX and WY      (given)

2. ΔWVZ is isosceles with legs WV and WZ     (given)

3. WX =  WY, WV = WZ  (definition of an isosceles triangle)

4. [tex]\frac{WX}{WY}=1\\\\[/tex]

[tex]\frac{WX}{WY}=\frac{WZ}{WZ} \ \ \[/tex] (definition of ≅)

5. (WZ)(WX) = (WY)(WZ)       (multiplication property)

6. (WZ)(WX) = (WY)(WV)  (substitution property).

7. [tex]\frac{WY}{WZ}=\frac{WX}{WV}[/tex]      (property of proportion)

8. ∠W = ∠W (reflexive property)

9. ΔWXY ~ ΔWVZ (side - angle - side similarity postulate)

Answer:

♣:  

✔ WX = WY; WV = WZ

♦:  

✔ substitution property

♠:  

✔ SAS similarity theorem

Step-by-step explanation:

just took it :)

Answer:

42

Step-by-step explanation:

alternate exterior angles are equal. Therefore 32 = y - 10. Solving for y:

y - 10 = 32

y = 32+10

y = 42.

Answer:

528.6

Step-by-step explanation:

find the circumference of the circle using:

πd: 22/7*74

add the length of the 4 strokes: 37*8

add the two:

Answer:

528.48cm

Step-by-step explanation:

Total length of all the spokes

37cm*8 = 296cm

Length of the circular rim

2πr = Circumference

2(37)π = 74π

74π = 232.48cm

Overall Length

232.48cm + 296cm = 528.48cm

Answer:

False.

Step-by-step explanation:

Answer:

∠G

Step-by-step explanation:

The tangent of an angle is given by the following trigonometric ratio;

[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]

From the question, we have;

tan ∠K = 6/8

ΔGIH is similar to ΔKJL

By observation of the length, we have;

Segment HI and segment JL are corresponding segments

Segment KL and segment HG are corresponding segments

∴ ∠K and ∠G are corresponding angles

∴ tan∠G = tan∠K = 6/8

The angle whose tangent is 6/8 is ∠G