1. ADEA has vertices D(8,4), E(2, 6), and F(3, 1). What are the vertices of the image after a dilation with a scale factor of 5 using the origin as the center of dilation? TO​

Answers

Answer 1

Answer:

The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k using the origin as a center of dilation, then its image is (kx, ky)

Let us use this rule to solve our question

∵ The vertices of ΔDEF are D (8, 4), E (2, 6), and F (3, 1)

∵ ΔDEF dilated by a scale factor 5

k = 5

∵ The origin as the center of dilation

→ That means, multiply the coordinates of every point by 5

∴ D' = (8 × 5, 4 × 5)

D' = (40, 20)

∴ E' = (2 × 5, 6 × 5)

E' = (10, 30)

∴ F' = (3 × 5, 1 × 5)

D' = (15, 5)

The vertices of the image are D' (40, 20), E' (10, 30), F' (15, 5)


Related Questions

What is the value of x?
(57-5)
Your answer:
x = 15
x = 13
x = 60
ox=37

pls helpppppo

Answers

Answer:

x = 13

Step-by-step explanation:

All triangles equal 180 degrees

Since this is an equilateral triangle, all angles have the same measurement

180 degrees divided by 3 angles = 60 degrees per angle

Make an equation based on the info given:

60 = 5x - 5

Solve:

*add 5 to both sides*

65 = 5x

*divide both sides by 5*

13 = x

 write an expression equivalent to 9X +14

Answers

Answer:

The correct answer is 9x+14

Step-by-step explanation:

Let's simplify step-by-step.

9x+14

There are no like terms.

Question 2
8 pts
You buy a bike for $200 and a skateboard for $30. What is the total cost if the tax rate is
8.25%? Round your answer to the nearest hundredth.
I

Answers

Answer:

$248.98

Step-by-step explanation:

200 + 30 = 230.

8.25% of 230 is 18.975, rounded to $18.98.

230 + 18.98 = 248.98.


Part B
Choose the inequality that compares the numbers
Choose
Choose
0.25

Answers

I'm sorry but this question is very confusing but I believe you want me to  choose 0.25?

<3 Enjoy,

    Dea

Which ratio is equal to 27:817 OA 1:9 OB. 2:9 Oc. 3:9 OD. 3:27 O E 9:12​

Answers

Answer:

54 : 1634

Step-by-step explanation:

An ant crawls 10 centimeters down into an ant hole. It then crawls 2 centimeters up to the queen’s nest. How many centimeters does the ant have to crawl in order to get out of the ant hole? (Hint: Draw a diagram to help you out)
pLS ANSWER IM IN 7TH GRADE MOST OF YOU SHOULD KNOW THIS

Answers

Answer:

8

Step-by-step explanation:

10 down plus 2 up equals 8

Which pair of events are independent of each other?
A.
getting an even number on the first and second roll of the die
B.
selecting an ace from a deck of cards, and then drawing another ace without replacing the first
C.
drawing a ball from a bag, and then drawing another ball without replacing the first
D.
drawing a red paperclip from a bag of paperclips, and then drawing another red paperclip without replacing the first
PLZ HELP AND HURRY

Answers

Answer:

A

Step-by-step explanation:

The other 3 pairs are all dependent because you have to take into account when you are choosing a card, ball, or paperclip for a second time, that you already got rid of one of the items, so it is less likely to draw a duplicate.

Sorry if that doesn't make sense lol

In a lab, 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution used to create the 10% solution?

Answers

Answer:

1:4

Step-by-step explanation:

What number makes the sentence true?
15 – 7 = 3+1

Answers

Answer:

4

Step-by-step explanation:

Although you didn't give me any answers to go with your problem, I am assuming that since 15-7 is 8, and 3 + 1 = 4, the answer should be 4. Now regarding if it is times, it would be x2. Because for times 2 would be 8. Overall the answer should be 4.

what is the cost of 1 pound of pears?

Answers

Answer:

2.8

Step-by-step explanation:

Answer:

$1.75

Step-by-step explanation:

Hey I need help ASAP!
Identify the function shown in this graph

Answers

Answer:

The answer is B.

y=-5x + 3

Step-by-step explanation:

Hope this helps

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

65/2

Step-by-step explanation:

3 1/4= 13/4

13/4(10)=65/2

Answer:

32 1/2

Step-by-step explanation:

first, convert both numbers into improper fractions. (10/1 and 13/4) then multiply the numerators to get 130 and the denominators to get 4. You get 130/4. Simplified, that would be 65/2 and as a mixed number, it would be 32 and 1/2.

Jesse plays basketball for his high school team. In his last 12 twelve games he scored the following points: 18, 22, 19, 15, 24, 22, 18, 15, 10, 14, 18, 10. Barbara plays basketball for her high school team. In her last 10 games she scored the following points: 15, 12, 12, 16, 18, 22, 16, 20, 20, 14. Determine which player had the largest range of points scored? What is the difference is the range of points between the two players?

In the form of a paragraph, explain in complete sentences the steps necessary to compute the range of the points, which team player had the largest range of points and include the final answer in your explanation. Complete your work in the space provided.

Answers

Jesse has the largest range between the two players. The difference between their ranges is 2.
Step-by-step explanation:
Jesse's range: 14
Barbara's range: 10
Range is determined by using the largest number and the smallest number in a set of integers and subtracting them. Jesse's highest number was 24, and his lowest would be 10. 24-10=14.
Barbara's highest score was 22, while her lowest was 12. 22-12=10.
subtracting Jesse's range from Barbara's range would equal 2.
(please don't cook me if this is incorrect but i'm 97% sure i'm right)

Answer:

Jesse has the largest range. To find the range you have to take the greatest value and the lowest value to find the range. Jesse's largest value is 24 points while his lowest is 10 points making his range 14 points. Barbara's highest value is 22 points while her lowest is 12 points making her range 10 points.

Step-by-step explanation:

24-10=14 Jesse

22-12=10 Barbara

What can you do if your struggling in Volume in Math?

Answers

Answer:

Study Harder

Step-by-step explanation:

The graph shows the heigh if a tree ever time. What can you reduce the rate of change to be from 2years to 4years

Answers

Answer:

the question sounds confusing but I believe you would reduce the time or the x value so that the years are reduced.

−8x+6−2=−12
what is x?

Answers

Answer: x=2

Step-by-step explanation:

have a good day! :)

plz give me brainliest

Answer:

(f+g)(x) = f(x) +g(x)

= (7x^3 −2x−12) +(−3x^3 -8x^2 +10x)

= x^3(7 -3) +x^2(-8) +x(-2+10) +(-12)

= 4x^3 -8x^2 +8x -12

Corresponds to selection C.

Step-by-step explanation:

4. What is the value of -24 + 6?

Answers

Answer:-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Please give brainliest!

what is 5 - 3x + x - 32 in a simplified expression?

Answers

Answer:

-27-2x

Step-by-step explanation:

5-3x+x-32

(collect like terms)

5-32-3x+x

-27-2x

Let's simplify step-by-step.

5−3x+x−32

=5+−3x+x+−32

Combine Like Terms:

=5+−3x+x+−32

=(−3x+x)+(5+−32)

=−2x+−27

Answer:

=−2x−27

What is the x- intercept of the line that represents y=-4x+12

Answers

Answer:

3,0

for steps

Step-by-step explanation:

math

way

What are the correct answers? ​

Answers

7 12468643346777433578

HELP!!!!!!!!!!!!!!! Together, two clerks can count a certain number of coins in 7.5 minutes. If one clerk, working alone, takes 8 minutes longer than the other needs to do the same job working alone, how long does each clerk need to count the coins when alone?

Answers

Answer:2 minutes each

Step-by-step explanation:

Divide 350rs in 3:4 ratio


plzzz fast​

Answers

Answer:
150 : 200

Explanation:
3 + 4 = 7
350 / 7 = 50
50 x 3 = 150
50 x 4 = 200

The hemmings borrowed $3 000 for home improvements. They repaid the loan and $600 in simple interest four years later. What simple annual interest rate did they pay

Answers

Answer:

5%

Step-by-step explanation:

Given that:

Principal = $3000

Simple Interest paid = $600

Period = 4 years

Simple interest = principal * rate * time

$600 = $3000 * rate * 4

$600 = $12000 * rate

Rate = $600 /$12000

Rate = 0.05

Hence, simple interest rate paid = (0.05 * 100%) = 5%

PLEASE HELP!!!!!!!!!
Identify the type for each triangle.

(Please do not answer if you do not know so the right people get the points)

Answers

Answer:

1. isosceles

2. obtuse

3. isosceles

4. right triangle

5. right isosceles triangle

6. obtuse isosceles triangle

4a I do not understand the process

Answers

Answer:

9/40

Step-by-step explanation:

He needs 5/8, he already has 2/5, so still needed is 5/8-2/5.

To add or subtract fractions, the denominators must be equal.

Simplest approach is to multiply them. 8 times 5 is 40, so 40 is the new denominator we need for both fractions.

So first we convert 5/8 to 25/40.

Then we convert 2/5 to 16/40.

Now we can subtract them:

25/40 - 16/40 = 9/40.

9/40 cannot be simplified so this is the final answer.

There are some basic rules you need to know to work with fractions. If above work is too fast, comment below for deeper explanation.

The answer is 9/40.

All you need to do is subtract 5/8 - 2/5 and to do that, you would need a common denominator. So just,

5 2
— —
8 5

Multiply the two bottoms to get 40 and do the same thing with the top that you did with the bottom so....

5 x 5 = 25
— —
8 x 5 = 40

2 x 8 = 16
— —
5 x 8 = 40

Subtract 25 - 16 = 9 and keep the denominator the same so 9/40 is your answer.

5. What is the length of the unknown leg? ​

Answers

Answer: a = 8

Step-by-step explanation:

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 100 - 36

a² = 64

a = √64

a = 8

A and B can do a piece of work in 12 days; B and C can do it in 15 days while C and A can finish it in 20 days. In how many days will A, B and C finish it, working together? In how many days will each of them finish it working alone?

Answers

Answer:

It takes A 30 days to finish the work aloneIt takes B 20 days to finish the work aloneIt takes C 60 days to finish the work alone

Working together, it takes them 10 days to finish the work

Step-by-step explanation:

Given;

[tex]\frac{1}{A} + \frac{1}{B} =\frac{1}{12} \\\\\frac{1}{B} + \frac{1}{C} = \frac{1}{15}\\\\\frac{1}{A} + \frac{1}{C} = \frac{1}{20}\\\\[/tex]

From given equations above;

[tex]\frac{1}{A} +\frac{1}{B} = \frac{1}{12}\\\\But, \frac{1}{B} =\frac{1}{15} -\frac{1}{C}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{C}= \frac{1}{12}\\\\Also, \frac{1}{C} = \frac{1}{20} -\frac{1}{A} \\\\ \frac{1}{A} +\frac{1}{15} -(\frac{1}{20} -\frac{1}{A})= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{15} -\frac{1}{20} +\frac{1}{A}= \frac{1}{12}\\\\ \frac{1}{A} +\frac{1}{A} = \frac{1}{12} +\frac{1}{20}-\frac{1}{15}\\\\\frac{2}{A} = \frac{300+ 180-240}{3600} \\\\\frac{2}{A} =\frac{240}{3600}\\\\[/tex]

[tex]\frac{2}{A} = \frac{1}{15} \\\\A = 30 \ days[/tex]

solve for B;

[tex]\frac{1}{A} + \frac{1}{B} = \frac{1}{12}\\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{A} \\\\ \frac{1}{B} = \frac{1}{12} - \frac{1}{30}\\\\ \frac{1}{B} =\frac{5-2}{60} \\\\ \frac{1}{B} =\frac{3}{60}\\\\B = 20 \ days[/tex]

Solve for C;

[tex]\frac{1}{C} =\frac{1}{20} -\frac{1}{A}\\\\ \frac{1}{C} = \frac{1}{20} -\frac{1}{30}\\\\ \frac{1}{C} =\frac{3-2}{60} \\\\ \frac{1}{C} =\frac{1}{60}\\\\C = 60 \ days[/tex]

When they work together;

[tex]\frac{1}{A} +\frac{1}{B} +\frac{1}{C} =\frac{1}{y} \\\\\frac{1}{30} +\frac{1}{20} +\frac{1}{60} = \frac{1}{y}\\\\\frac{2+ 3+ 1}{60} =\frac{1}{y}\\\\\frac{6}{60} =\frac{1}{y}\\\\y = 10\ days[/tex]

Write the following quadratic equation in equivalent factored form by filling in the blanks. x^2+3x-40 (x - __ )(x + __ )

Answers

Answer:

(x-5)(x+8)

Step-by-step explanation:

On a coordinate plane, how are the locations of the points (5 , -7) and (-5 , 7) related?

A.
reflection across the y-axis
B.
reflection across the x-axis
C.
locations unrelated
D.
reflection across both axes

Answers

Answer:

its c or d but i think c

Step-by-step explanation:

If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 30•n
B. 30^2•n
C. 15^2•n
D. 15•n

Answers

Answer:

C. 15²π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Diameter: d = 2rArea of a Circle: A = πr²

Step-by-step explanation:

Step 1: Define

d = 30 m

Step 2: Find Area

Substitute [D]:                    30 m = 2rIsolate r:                             15 m = rRewrite:                              r = 15 mSubstitute [AC]:                 A = π(15 m)²Rearrange:                        A = 15²π
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