In general, how do the slopes of line segments in the image compare with the slopes of corresponding line segments in the preimage? What effect does the scale factor of the dilation have on the slopes, if any?

Answers

Answer 1

Answer:

The slopes of the line segments are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

Step-by-step explanation:

Plato simple answer

Answer 2

The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

How does dilation works?

Dilation of a figure will leave its sides get scaled (multiplied) by same number.

Dilation if, is from the center of the rectangle, then distance of all the points of the rectangle from its center will get scaled by that dilation factor.

Slope:

We know that the slope is the ratio of change in y-value and change in x-value.

So, after dilation

m---->m

Length of line:

The length of line =x

so, it's length will become nx.

The slopes of the line are the same before and after dilation. The value of the scale factor n does not affect the slopes in the image.

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Related Questions

Diego makes green paint by mixing 10 tablespoons of yellow paint and 2 tablespoons of blue paint. Which of these mixtures produce the same shade of green paint as Diego’s mixture?

Select all that apply.

Group of answer choices

For every 5 tablespoons of blue paint, mix in 1 tablespoon of yellow paint.

Mix tablespoons of blue paint and yellow paint in the ratio 1:5.

Mix 11 tablespoons of yellow paint and 3 tablespoons of blue paint.

Mix tablespoons of yellow paint and blue paint in the ratio 15 to 3.

Answers

Answer: Mix 11 tablespoons of yellow paint and 3 tablespoons of blue paint.

The correct answer choices are For every 5 tablespoons of blue paint, mix in 1 tablespoon of yellow paint, Mix tablespoons of blue paint and yellow paint in the ratio 1:5 and Mix tablespoons of yellow paint and blue paint in the ratio 15 to 3.

What is ratio ?

Ratio represents how much one quantity is present relative to the other quantity and written in simplest form.

According to the given question Diego makes green paint by mixing 10 tablespoons of yellow paint and 2 tablespoons of blue paint.

∴ For every 5 tablespoon of blue paint we have to mix 1 table spoon of yellow paint.

5 table spoon of blue paint = 1 table spoon of yellow paint.

This can also be written in ratio form as blue paint:yellow paint = 1:5.

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Which ordered pair could be the missing values represented by (x, y)?

(0, 18)
(5, 19.5)
(8, 20)
(10, 21.5)

Answers

Answer: Option C

(C) (8, 20)

Step-by-step explanation:

The table shows ordered pairs of the function y = 16 + 0.5x .  

A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 1, x, 10. The second column is labeled y with entries 14, 15, 16, 16.5, y, 21.

Which ordered pair could be the missing values represented by (x, y)?  

(A) (0, 18)

(B) (5, 19.5)

(C) (8, 20)  <========+100%

(D) (10, 21.5

I need help the answers that are there are
SSS
SAS
ASA
AAS
HL and
Not enough information

Answers

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Congruency of triangles,

since here, two sides with a in between angle is congruent, we will use the SAS congruency,

=> Side-Angle-Side congruency .

SAS.

what is an equation in point-slope form of the line that passes through the points (4, 5) and (-3, -1)???

Answers

are you mrs woods class or sumn

Tyreek Hill has scored 32 touchdowns in 59 games. If he continues at this rate, how many touchdowns will he score in the 2020 season where he plays 16 games? Write the equation.​

Answers

Answer:

hi            

Step-by-step explanation:

tell me the lcm of 30 and 60​

Answers

Answer:

60.

Step-by-step explanation:

Use a graphing calculator or online application to find the solution to ​ to the nearest tenth.

The solution is approximately

Answers

Answer:

it would be 98%

Step-by-step explanation:

Is it 48 or 51?
.
.
.
.
.

Answers

Answer:

51

Step-by-step explanation:

It on that number

Simplify the expression. 2.3h(6-k)

Answers

The answer is 13.8h-2.3hk

i need help plz do each problem

Answers

1. 4n + 28
2. 30-10x
3. 3m+3n
4. 8+2j

The graph below have the same shape what is the equation of the blue

Answers

The answer is C (x-4)^2

Partial products of 16 x 34

Answers

Answer:

544

Step-by-step explanation:

trust me math is easyyy

The required partial product is given as 340 + 204 = 544.

Given that,
To determine the partial product of the   16 × 34.

What is the partial product?

In mathematics, partial products are defined as multiplying each digit of one integer by each digit of another number while keeping each digit's place value.

here,
According to the question,
16 × 34 = [10 + 6] × 34
           = [10 × 34 + 6 × 34]
           = [340 + 204]
           = 544

Thus, the required partial product is given as 340 + 204 = 544.

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An electrician charges $50 for the first hour and $5.50 for each additional hour write an equation to represent the amount the electrician will earn when h represents the number of hours worked and t represents the total amount earned( in dollars)

Answers

the equation would be t=5.50(h)+50

Will the sign of the product of two negative numbers be negative or positive? Explain your answer.
A.
Cannot tell; the sign depends on the absolute values of the factors.
B.
Negative; if either of the factors is negative, their product is negative.
C.
Negative; if the signs of the two factors are the same, their product is negative.
D.
Positive; if the signs of the two factors are the same, their product is positive.

Answers

Answer:

D

Step-by-step explanation:

a negative times a negative equals a positive

f(x) = 2(x + 4)^2 (x - 2)​

Answers

Answer:

3

Step-by-step explanation:

hope it helpz >-<

The correct answer is 3 :)

Using the commutative property of multiplication, what is missing in the expression

Answers

Answer:

8x9

Step-by-step explanation:

Triangle M was dilated by a scale factor of 1.2 to form triangle M. How does the area of triangle M'
relate to the area of triangle M?
A- The area of triangle M'is 0.6 times the area of triangle M.
B- The area of triangle M'is 1.2 times the area of triangle M.
C- The area of triangle M'is 1.44 times the area of triangle M.
D- The area of triangle M' is 2.4 times than the area of triangle M.

Answers

Answer:

The area of triangle M is 1.44 times the area of triangle M.

Step-by-step explanation:

From Geometry we remember that the area formula of the triangle is:

[tex]A = \frac{1}{2}\cdot b\cdot h[/tex] (1)

Where:

[tex]b[/tex] - Base of the triangle, dimensionless.

[tex]h[/tex] - Height of the triangle, dimensionless.

[tex]A[/tex] - Area of the triangle, dimensionless.

The dillation of the triangle by a scale factor means that:

[tex]A' = \frac{1}{2}\cdot b'\cdot h'[/tex] (2)

[tex]b' = k\cdot b[/tex] (3)

[tex]h' = k\cdot h[/tex] (4)

Where:

[tex]b'[/tex] - Dilated base of the triangle, dimensionless.

[tex]h'[/tex] - Dilated height of the triangle, dimensionless.

[tex]A'[/tex] - Dilated area of the triangle, dimensionless.

[tex]k[/tex] - Dilation factor, dimensionless.

If we know that [tex]k = 1.2[/tex], then the area formula for the dilated triangle is:

[tex]A' = \frac{1}{2}\cdot (k\cdot b)\cdot (k\cdot h)[/tex]

[tex]A' = k^{2}\cdot \frac{1}{2}\cdot b\cdot h[/tex]

[tex]A' = k^{2}\cdot A[/tex]

Therefore, the area of triangle M is 1.44 times the area of triangle M.

Answer:

C- The area of triangle M'is 1.44 times the area of triangle M.

Step-by-step explanation:

1.44 divided by 1.2=1.2

What is 4,100 rounded to the nearest 100/hundred?

Answers

Answer:

4,000

Step-by-step explanation:

Which regression model best fits the data set?
(2, 13), (4,8), (5, 7.5), (7,7)
A linear
B. quadratic
C. exponential growth
D. exponential decay

Answers

Answer: Quadratic Regression model best fits the data set.

Step-by-step explanation:

Answer:

Option (b) is the correct option.

What is Quadratic equation?

Any equation that can be transformed into standard form as follows is referred to as a quadratic equation in algebra (from the Latin quadratus, which means "square").Where x denotes an unknown and a, b, and c denote known values, respectively, with a 0, displaystyle ax2+bx+c=0 is used. Since there is no displaystyle ax2ax2 term, the equation is linear (if a = 0 and b 0) rather than quadratic.) The coefficients of the equation are the numbers a, b, and c, which can be separated by referring to them as the quadratic coefficient, linear coefficient, and constant or free term, respectively. As well as being referred to as the roots or zeros of the expression on the left-hand side of the equation, the values of x that satisfy it are known as solutions of the equation. There are only two possible answers to a quadratic equations The quadratic formula. The solutions are expressed in terms of a, b, and c by the expression sqrt b2 4ac 2a. There are numerous ways to obtain it, one of which is through completing the square.

Quadratic equation-based solutions to issues have been recognized since 2000 BC.The quadratic equation is referred to as "univariate" because there is just one unknown. The quadratic equation is a polynomial equation because all the powers of x that it contains are non-negative integers. Since the largest power is two, it is in particular a second-degree polynomial equation.

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Find the value of p in the equation, 0.25p-50=240​

Answers

Answer:

p = 1160

Step-by-step explanation:

0.25p-50=240​

0.25p = 240+50 (Transfer the 50 and isolate the p)

[tex]\frac{1}{4}[/tex]p = 290 (Changing the decimal to a fraction so it is easier to see)

[tex]\frac{4}{4}[/tex]p = 4×290 ([tex]\frac{1}{4}[/tex]×4 = [tex]\frac{4}{4}[/tex])

p = 1160

Answer:

p=1160

Step-by-step explanation:

Its's easy. If there ever is any number with a letter in the equation, you are most likely to divide that number. First, since 50 has a minus in front of it, you have to add that to the 50 in the equation AND the 240. When you do 50 plus the 50 in the equation it cancels out because -50+50 is 0 (you don't add the 0 to the equation because you are looking for p.) So, 240+50 is 290. Now, you have to divide 0.25 to the 0.25p AND the 290. 0.25 divided by 0.25p is 1, BUT you never put 1p you just put p because p is the same as 1. 290 divided by 0.25 is 1160. So your equation should look like p=1160

Sorry this took so long.

A shirt originally cost $53.17, but it is on sale for $42.54. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent.

16%
20%
25%
80%

Answers

Answer:

Step-by-step explanation:

20%. 53.17 times .8 is 42.54 meaning there's a 20% decrease

The correct answer is 20 percent

Rafael calculated the foil as 1.8 × 10 to the 4th power units thick. Evaluate Rafael’s expression.

Answers

the aswer is 18,000 ! if you multiply you will get that answer ! if you dont have the tools on a regular calculator us desmos . this has all the tools you need! this is the scientific calculator

List the sides of each triangle in order form shortest to longest.​

Answers

trust meeeeeeeeeeeeeeeeee

Step-by-step explanation:

1) 44°

2) 46°

3) 90°

44 degrees, 46, and then last is... 90 degrees

What is the value of this expression when t = -12?

-3|t − 8| + 1.5


A.

61.5

B.

13.5

C.

-10.5

D.

-58.5
i think it is c but i am not sure

Answers

Answer:

D

Step-by-step explanation:

I am sorry but I can not give you how I got thinms answer but i do know tgat the answer is correct

Positive or negative exponents represesent very small numbers

Answers

Answer:

Negative exponents represent very very small numbers ( ex. .0000000006)

Step-by-step explanation:

can i get brainly?

[tex]x^{-2} -4x^{-1} -3=0[/tex]

Answers

If you are trying to find the value of X, it’s 0
Do you need help solving or what?

WILL GIVE BRAINIEST HELP ASAP
Question 6 Multiple Choice
Worth 1 points)
(03.06 LC)
Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.
Х
1
2
3
4.
f(x) 81 72 63 54
Arithmetic, common difference = 9
Arithmetic, common difference = -9
Geometric, common ratio = 9
Geometric, common ratio = -9

Answers

Answer:

arthimetic 9

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

how many times can 38 go into 192 using long division

Answers

Answer: 5.0526

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 38 on the left side and the dividend 192 on the right side like this:

           

 3 8 ⟌ 1 9 2

Step 2:

The divisor (38) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 3 8 ⟌ 1 9 2

Step 3:

Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer below the dividend.

       0    

 3 8 ⟌ 1 9 2

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 3 8 ⟌ 1 9 2

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (9) like this:

       0    

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

Step 6:

The divisor (38) goes into the bottom number (19), 0 time(s). Therefore, put 0 on top:

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

Step 7:

Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer at the bottom:

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

         0  

Step 8:

Subtract the result in the previous step from the number written above it. (19 - 0 = 19) and write the answer at the bottom.

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9  

Step 9:

Move down the last digit of the dividend (2) like this:

       0 0  

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

Step 10:

The divisor (38) goes into the bottom number (192), 5 time(s). Therefore put 5 on top:

       0 0 5

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

Step 11:

Multiply the divisor by the result in the previous step (38 x 5 = 190) and write the answer at the bottom:

       0 0 5

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

       1 9 0

Step 12:

Subtract the result in the previous step from the number written above it. (192 - 190 = 2) and write the answer at the bottom.

       0 0 5

 3 8 ⟌ 1 9 2

     - 0    

       1 9  

     -   0  

       1 9 2

     - 1 9 0

           2

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 192 divided by 38 calculated using Long Division is: 5.0526

10+1 22 or 3 n>12 what is the answer

Answers

Answer: um, you mean 10 + 122=132, the second one is n>4 if you want step by step look below:

Let's solve your inequality step-by-step.

3n>12

Step 1: Divide both sides by 3.

3n/3 > 12/3

n>4

You can use a numberline too.

17. Which two points on the number line represent a number and it’s absolute value

Answers

Answer:

The symbol for absolute value is two straight lines surrounding the number or expression for which you wish to indicate absolute value. |6| = 6 means the absolute value of 6 is 6. 6 is 6.

Step-by-step explanation:

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