Dilate the line shown by a scale factor of 1/4 with the center as (-3,9). Graph the dilated line

Answers

Answer 1

On solving the provided question we can say that - the coordinates from the graphs will be P' = (0.0); Q' = (1,0); R' = (1,1); S' = (0,1)

what are coordinates?

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is r

A fixed point serves as the dilation's center.

Dk is used to represent dilation, where k is the scale factor.

Dk (x, y) = for a dilation centered on the origin (kx, ky)

Let's assume that you have a PQRS rectangle where

P = (0,0)

Q = (4,0)

R = (4,4)

S = (0,4)

You must multiply each coordinate by 1/4 to achieve the dilation of this PQRS to P'Q'R'S' with a scale factor of 1.

P' = (0.0)

Q' = (1,0)

R' = (1,1)

S' = (0,1)

You may plot both of these rectangles to see that they are the same size and are centered on the origin, but they have different shapes.

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Related Questions

The table shows a cricket club's income in 2016 from a fete, a quiz and membership fees.
Income
Fete
£250
Quiz
Entry fees
Refreshments
13 at £5 each
£35
25 at £20 each
Membership fees
Express as a ratio
the income from the fete to the income from the quiz to the income from membership
fees.
Give your ratio in its simplest form.​

Answers

Answer: 5:2:10

Income from fete = £250

13 x 5 + 35 = 100

25 x 20 = 500

250:100:500

Then simplify ratio -

25:10:50

5:2:10

Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?

Answers

Answer:

Step-by-step explanation:

Marina,  everyone has a tough time with this type of math problem,   just send me a note if you get stuck on these.   :P

You're given two points,  

P1 = (-4,8)  in the form (x1,y1)

P2 = (1,3)   in the form (x2,y2)   ( I made the forms, so can you )

slope = m

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

m = (3-8) / ( 1 - (-4))

m = -5 / (1 + 4)

m = -5 / 5

m = -1

now use the point-slope formula

y-y1=m(x-x1)

y-(8) = -1(x-(-4))

y-8 = -1(x+4)

y-8 = -x -4

y = -x-4+8

y = -x +4

That's the equation  :P

odd function f(x) is defined for all real values of x. for the function g(x)=2.3+f(x-9), calculate g(6)+g(8)+g(10)+h(12).

Answers

Answer:

easy theanswer is -14x

Step-by-step explanation:

solve for x
give an exact answer

Answers

Answer:

x = -1

Step-by-step explanation:

0.5(5-7x)=8-(4x+6)       note.......0.5   = 1/2

(1/2) ( 5 - 7x)  = 8 - 4x - 6

(1/2) (5 - 7x)  = 2 - 4x    multipy through by 2

5 - 7x   = 4 - 8x         add 8x  to both sides.......subtract 5 from both sides

x = -1

Select all of the true statements below.

1.) 8u+3v+5 is written as a sum of three terms.

2.)8u is a coefficient.

3.)8u and 5 are like terms.

4.)5 is a constant.

5.) 8u is a factor.

6.)None of these are true.

Answers

the true statements for 8u + 5 + 3v are:

1.) 8u+3v+5 is written as a sum of three terms.

4.)5 is a constant.

What is constant?

The word "constant" in mathematics has several different connotations. When used as a noun, it can have either of the following two meanings: Non-variance (i.e., not changing in relation to some other value) or Variance.

an unchanging number or other non-changing mathematical object that is fixed and well-defined. Sometimes, to distinguish between these two meanings, the terms mathematical constant or physical constant are used.

a function with a constant value (i.e., a constant function).

These constants are frequently represented by a variable that is independent of the main variable or variables in question.

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Can someone show the work and answer ASAP

Answers

so 15 miles is the answer❤

Step-by-step explanation:

4²+5²=x²

16+25= 41

x²=41

x= 6.4

5+4+6= 15

Mary bought 5 pounds of grapes for $19. Mark bought 4 pounds of grapes for $16. Complete the statement comparing Mary's unit rate with Mark's unit rate.

Answers

Mary paid $3.80 per pound and Mark paid $4.00 per pound.

19 ÷ 5 = 3.80

16 ÷ 4 = 4

Mary's unit rate is less than Mark's unit rate.

How to calculate expression?

To compare the unit rate of Mary and Mark, we need to find how much each of them paid per pound of grapes.

Mary paid $19 for 5 pounds of grapes, so her unit rate can be calculated as:

The unit rate of Mary = Total cost of grapes / Total amount of grapes purchased

= $19 / 5 pounds

= $3.80 per pound

Mark paid $16 for 4 pounds of grapes, so his unit rate can be calculated as:

The unit rate of Mark = Total cost of grapes / Total amount of grapes purchased

= $16 / 4 pounds

= $4.00 per pound

Comparing the unit rate of Mary and Mark, we can see that Mary paid less per pound of grapes than Mark did.

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A squre has 12cm length find it's area and perimeter​

Answers

Answer:

a=L² is is the formula for the area of square. where L represent the length.

a=(12cm)²

a=144cm²

p=4(L) is the formula for the perimeter of a square. where L represent the length

p=4(12cm)

p=48cm

What is 17 divided by 9

Answers

The answer is 1.8 recurring

How many unique tree graphs (i.e. with different degree patterns) can be made with
4 vertices?
a) 0
b) 1
c) 2
d) 3

Answers

I think the answer will be d

Your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost. How much did the shoes cost? Write and solve an equation, let s represent the cost of the shoes.

Answers

The equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, your brother gave you $10 to help with a shoe purchase. This covered 8% of the cost.

Let s represent the cost of the shoes.

Now, equation is

8% of s=10

8/100 ×s=10

0.08s=10

s=10/0.08

s=$125

Therefore, the equation to represent the cost of shoes is 0.08s=10 and the cost of shoes is $125.

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Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).

Answers

Answer: B  y = -4/7x + 7

Step-by-step explanation:

The equation in the form y = mx + b

m = -4/7 and b = 7

Equation: y = -4/7x + 7

Maya is a plumbing engineer who works with Overflo clients on residential plumbing and field draining and irrigation projects. Overflo closely supervises all of its engineers, and dictates their work schedules. Noel works part-time in the evenings cleaning the offices and warehouse. To Noel is Overflo's:_____.
a. employee, agent and independent contractor.
b. employee and agent.
c. agent to Overflo's customers.
d. independent contractor only.

Answers

I need this answer please a or b

Someone please help. This is Delta Math

Answers

Answer:

uyt6?

Step-by-step explanation:

the circles with the centre at P and Q are such that each passes through the centre of the other. the circle intersect at points R and S as shown

what is the measure of ∠PRQ

a.45⁰
b.50⁰
c.60⁰
d.90⁰​

Answers

Answer:

C) 60°

Step-by-step explanation:

Each side of the triangle is a radius of the circle.  Since all three sides are equal, it’s an equilateral triangle, so they are all 60° angles.

What is a root of a polynomial function?

Answers

Answer:

d. a value of the variable that makes the polynomial equal to zero

Find the slope of the line.

Answers

the slope is -2. since the line is going downward it’s going to be negative so you go down 2 and over 1 to get to the next point, making the slope -2/1 or just -2.

i need help please i dont get this

Answers

Answer:

  See attached

Step-by-step explanation:

You want the solution to the inequality -12x < -48 shown on a number line.

Solution

The solution to the inequality is found by dividing by the x-coefficient

  -12x < -48

  x > 4 . . . . . . . divide by -12

When working with inequalities, you need to know that multiplying or dividing by a negative number reverses the inequality symbol.

Graph

The value x=4 is not included in the solution set, so an open circle is plotted at that point. All values of x greater than x=4 are included in the solution set, so the number line is shaded to the right of the open circle.

The graph of the solution is shown in the attachment.

__

Additional comment

Often, you can avoid multiplying or dividing an inequality by a negative number by rearranging it. Here, adding 12x+48 to both sides makes it be ...

  48 < 12x

Now, you can divide by 12 without worrying about the inequality symbol:

  4 < x . . . . . same as above

The angle bisectors of triangle ABC are , , and . They meet at a single point . (In other words, is the incenter of .) Suppose , , , and .

Answers

To solve this we must be knowing each and every concept related to triangle. Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

What is triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The denotes a triangle having vertex A, B, and C. In Euclidean geometry, every three non-collinear points define a unique triangle and, by extension, a unique plane.

In geometry, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

Therefore, the angle bisector is indeed the ray, line, or fragment that splits a particular angle in two equal pieces.

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PLZ HELP I WILL GIVE YOU POINTS PLZ!!!

Create a stem-and-leaf plot to organize the data.

40, 48, 49, 52, 55, 64, 70, 71, 72, 72, 78, 78, 79, 87, 89

Enter your answers in the boxes to correctly complete the table

Create a stem-and-leaf plot to organize the data.

40, 48, 49, 52, 55, 64, 70, 71, 72, 72, 78, 78, 79, 87, 89

Enter your answers in the boxes to correctly complete the table.

Answers

Anwnser:

1...3

Step-by-step explanation:

i dont know how to explain Hope it helps

Answer:

hi

Step-by-step explanation:

4       0 8 9

5       2 5

6       4

7       0 1 2 2 8 8 9

8       7 9

Question 1 of 10
Which choices are equivalent to the expression below? Check all that apply.
√5. √20

A. 100
B. 5.2
C. 10
D. √5 √√5√4
E. √5 20
F. √25
.
SUBMIT

Answers

Choices that is equivalent to the expression √5. √20 is 5.2

Define equivalence.

In mathematics, the word "equivalent" designates two quantities, numbers, or meanings that are the same. A bar across an equivalent sign or Equivalent Sign shall be used to indicate the equivalence of two such quantities. Additionally, it denotes the logical equivalent of two values or a group of quantities.

Define expression.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

x= (5)^1/2*(20)^1/2

x= (5)^1/2*(2.2.5)^1/2

x=5.2

So B is the correct option.

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.......................​

Answers

Answer:

Direct variation

Step-by-step explanation:

Given

[tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex]

Required

The type of variation

The given equation represents a direct variation.

A direct variation is:

[tex]a = kb[/tex]

Where

[tex]k\to[/tex] constant of variation

Make k the subject

[tex]k = \frac{a}{b}[/tex]

For corresponding values of and b, we have:

[tex]k = \frac{a_1}{b_1} = \frac{a_2}{b_2} = \frac{a_3}{b_3} = ............. =\frac{a_n}{b_n}[/tex]

Hence, [tex]\frac{a_1}{b_1} = \frac{a_2}{b_2}[/tex] is a direct variation

Use Exponential Functions

From the table below, determine whether the data shows an exponential function. Explain why or why not.

a. No; the domain values are at regular intervals.
b. No; a different value is added to each range value.
c. No; there is no relationship between the x value and its corresponding y value.
d. Yes; the domain values are at regular intervals and the range values have a common factor 2.

Please select the best answer from the choices provided

Answers

Answer:

C. No; there is no relationship between the x value and its corresponding y value.

Step-by-step explanation:

I calculated it logically

Answer:

The correct answer c. No; there is no relationship between the x value and its corresponding y value

PLEASE ANSWER ASAP NO LINKS OR WILL BE REPORTED! 3. The measure of side c is 100 inches. The measure of side a is 75 inches. What is the length of side b? SHOW ALL OF YOUR WORK Answer:​

Answers

Answer:

66.14inches

Step-by-step explanation:

pyhtgreom therom

75^2+b^2 = 100^2

5625 + b^2 = 10,000

subtract both sides by 5625

b^2 = 4375

square root both sides

b = 66.14

Which expression is equivalent to 12(6x+12)? A. 6x+14 B. 12x+1 C. 3x+12 D. 3x+14 please answer

Answers

Step-by-step explanation:

B.12x + 1

if it helps brainiest lol

encircle the number that are divisible by 2 a.4224 b.3012 c.8817 d. 10172​

Answers

Answer:

a,b,c are divisible by 2

Round 0.12406667 to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

0.124

A triangle with a base length of 8 cm is reduced to a triangle with a base length of 4 cm. What
scale factor was used?

Answers

You’ll have to forgive me if I’m wrong because it’s been so long since I’ve done scale factors... I’m fairly sure it’s 1/2 though, considering the base length was halved. Hope this helps :)

Pls help I will mark u what ever you want

Answers

Answer:

1.) True

2.) True

3.) False

4.) True

Hope this helps!

A 50 Gram Sample of a substance that used to treat thyroid disorders has a K-value of 0.1113. What is the half life? thanks

Answers

The half life of the iodine is obtained as 6.2 s.

What is the half life?

Let us recall that the half  life would be the time that is taken for about half of the original radioactive isotope that remains in the sample, to become depleted in the thyroid treatment.

Given that we have the fact that the decay constant that we have in the process is given as 0.1113 in the question and we know that;

Half life = 0.693/K

Half life = 0.693/0.1113

Half life = 6.2 s

It would have the half life about 6.2 s.

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