A triangle with vertices (0,0), (3,6), (7,4) is dilated by a factor of 3 with its center at the origin.

Answers

Answer 1

Answer:

[tex]A' = (0,0)[/tex]

[tex]B'= (9,18)[/tex]

[tex]C'= (21,12)[/tex]

Step-by-step explanation:

Given

[tex]A= (0,0)[/tex]

[tex]B= (3,6)[/tex]

[tex]C= (7,4)[/tex]

[tex]k = 3[/tex] -- dilation factor

Required

Determine the coordinates of the new triangle

This is calculated using:

[tex]New = Old * k[/tex]

So, we have:

[tex]A' = A *3[/tex]

[tex]A' = (0,0) *3[/tex]

[tex]A' = (0,0)[/tex]

[tex]B' = B * 3[/tex]

[tex]B'= (3,6)*3[/tex]

[tex]B'= (3*3,6*3)[/tex]

[tex]B'= (9,18)[/tex]

and

[tex]C' = C * 3[/tex]

[tex]C'= (7,4)*3[/tex]

[tex]C'= (7*3,4*3)[/tex]

[tex]C'= (21,12)[/tex]


Related Questions


Solve for and the indicated angles.
G
90°
F
(4x + 13)
(5x + 14)
D
E

Answers

ok so as all of the angles in a triangle is 180 so

Help plsss!!!! Thnk you!!!!

Answers

Step-by-step explanation:

General quadratic equation: y = ax² + bx + c.

When x = 0, y = -3.

=> (-3) = a(0)² + b(0) + c, c = -3.

We now have y = ax² + bx - 3.

When x = 2, y = -4.

=> (-4) = a(2)² + b(2) - 3, 4a + 2b - 3 = -4,

4a + 2b = -1.

Our 1st system of equations is 4a + 2b = -1.

When x = 4, y = -3.

=> (-3) = a(4)² + b(4) - 3, 16a + 4b - 3 = -3,

16a + 4b = 0, 4a + b = 0.

Our 2nd system of equations is 4a + b = 0.

Now we solve the system of equations:

4a + 2b = -1

- (4a + b = 0)

=> b = -1

Hence 4a + (-1) = 0, 4a = 1, a = 1/4. (B)

Can 4(x+2)=10 equal 0

Answers

Answer:

x = 0.5

Step-by-step explanation:

The given expression is :

4(x+2) = 10

Using commutative property at LHS.

4x+8 = 10

Subtract 8 from both sides.

4x+8-8 = 10-8

4x = 2

x = (1/2) = 0.5

So, the value of x is equal to 0.5 instead of 0. Hence, the given expression cannot be equal to 0.

Solve the simultaneous equations
3
2x - y = 7
xy = 15

Answers

Answer:

(5, 3 ) and (- [tex]\frac{3}{2}[/tex], - 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 7 → (1)

xy = 15 → (2)

Rearrange (1) expressing y in terms of x , that is

y = 2x - 7 → (3)

Substitute y = 2x - 7 into (2)

x(2x - 7) = 15

2x² - 7x = 15 ( subtract 15 from both sides )

2x² - 7x - 15 = 0 ← in standard form

(x - 5)(2x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

Substitute these values into (3) for corresponding values of y

x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )

x = - [tex]\frac{3}{2}[/tex] : y = 2(- [tex]\frac{3}{2}[/tex] ) - 7 = - 3 - 7 = - 10 ⇒ (- [tex]\frac{3}{2}[/tex], - 10 )

Lorenzo tiene 4 cajas de huevo, cada uno con 50 huevos y 3 cartones del mismo producto con 10 de ellos ¿Cuántos huevos hay en total?

Answers

Responder:

240 huevos

Explicación paso a paso:

Número de cajas de huevos = 4

Huevos por caja = 50

Total de huevos en caja = 50 * 4 = 200 huevos

Número de cajas = 3

Número de huevos por caja = 10

Total de huevos en caja = 10 * 4 = 40 huevos

Huevos totales = (huevos en caja + huevos en cartón)

Total = (200 + 40) = 240 huevos

Pleasee helpppp
If you are using indirect measurement, what is true?



A.You must convert dimensions to the same unit of measurement.


B.You do not have to convert dimensions to the same unit of measurement.

Answers

Answer:

The anwser is B forsho

Step-by-step explanation:

'Direct measurement' refers to measuring exactly the thing that you are looking to measure, while 'indirect measurement' means that you're measuring something by measuring something else. For example of direct measurement is weight, distance, and so on.

$2500 at 5% for 60 months


What's the answer ?
Quick!​

Answers

Answer:

0.04%

Step-by-step explanation:

Which choice is equivalent to the fraction below when x is an appropriate value? Hint: Rationalize the denominator and simplify. 7/7+√14x
A. 7-√14x/7-2x
B.7-√14x/49-14x
C.7-√14x/49-2x
D.7-√14x/7-14x​

Answers

Answer:

A. (7 - √14x) /(7 - 2x)

Step-by-step explanation:

Given the fraction:

7 / (7 + √14x)

Rationalize the denominator by multiplying (7 - √14x):

7 / (7 + √14x) =7(7 - √14x) / (7 + √14x)(7 - √14x) =7(7 - √14x) /(49 - 14x) =7(7 - √14x) /7(7 - 2x) =(7 - √14x) /(7 - 2x)

Matching choice us A

A cat leaps from the ground into the air with an initial vertical velocity of 11 ft/s. After how many seconds does the cat land on the ground?

Answers

Answer:

11/16 of a second

Step-by-step explanation:

given that line a is parallel to line be and the slope on line a is 2 what is the slope of line b?

Answers

its line a

Step-by-step explanation:

What is the area of the trapezoid below? 7in 4 in 5 in 12 in​

Answers

Answer:

1680 inches

Step-by-step explanation:

All you have to do is to multiply the numbers together.

7 × 4 = 28 in

5 × 12 = 60 in

60 × 28 = 1680

Therefor, the answer is 1680.

A rectangle has a length of √7 meters and a width of (2√5 - √15) meters. What is its area?

Answers

Topic :-

Mensuration

Given :-

A rectangle has length of √7 meters and width of ( 2√5 - √15 ) meters.

To Find :-

Area of rectangle.

Formula to be Used :-

[tex]\boxed{Area\:of\:rectangle=Length \times Width}[/tex]

Solution :-

It is given that,

Length = √7 meters

Width = ( 2√5 - √15 ) meters

Applying formula,

Area = Length × Width

Area = √7 × ( 2√5 - √15 ) sq. meters

Area = ( 2√5 × √7 - √15 × √7 ) sq. meters

Area = ( 2√( 5 × 7 ) - √( 15 × 7 ) ) sq. meters

Area = ( 2√35 - √105 ) sq. meters

Answer :-

So, area of given rectangle is

( 2√35 - √105 ) sq. meters

Area of rectangle = Length x Width

√7 x (2√5 - √15)

= 2√35 - √105 m²

Hope it helps!

I need to find what x

Answers

Answer:

Step-by-step explanation:

Add the 21 then divide by 2

Answer:

x = 16, x = -7

Step-by-step explanation:

The question is;

35 * 4 = ( x - 7 ) ( x - 3 )

Combine like terms on one side;

140 = ( x - 7 ) ( x - 3 )

Distribute, remember to multiply every term with one another;

140 = [tex]x^{2}[/tex] - 3x - 7x + 21

Combine like terms;

140 = [tex]x^{2}[/tex] - 10x + 21

Inverse operations;

140 = [tex]x^{2}[/tex] - 10x + 21

-21                  -21

119 = [tex]x^{2}[/tex] - 10x

Factor;

119 = x ( x - 10 )

At this point it is fairly obvious that;

x = 16, x = -7

Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain

someone pls help it's worth tons of points​

Answers

Left to right on each row

X= 8. B= -1. M= 3. X= 4

K = 4. M= 5. N=8. X= -3

P= -7. X= -3. X=8. V=1

Q= ? . N= ? . X= 0

I can’t tell with these bottom two with the ?


If you have any other math questions like this you can use MathPapa calculator

Answer:

x = 8    b = -1     m = 3     x = 4

k = 4  m = 5     n =  8     x = -3

p = -7   x = -3    x = 8       v =1           x = 0

Step-by-step explanation:

HELP!!!!!! WILL GIVE BRAINLY!
3. Find the volume of a hexagonal pyramid with a base area of 25 square inches and a height of 9 inches.

Answers

Answer:

225 square inches

Step-by-step explanation:

you always multiply when you need to find volume

so you start with the base area multiply it by the height

Base area is 25 square inches

Height is 9in

make it to an equation

25 x 9 = 225 square inches

35x+0.10(100-x)

what’s the answer for this i’ve tried but can’t figure it out someone help me!!!

Answers

Answer:

34.9x+10

Step-by-step explanation:

Answer: solve for X

{

y=0,

y∈R,

 

x

=−1

x=0

Step-by-step explanation:

PLZZZZZ HELP AND HURRRRRY!

Answers

Answer:

b

Step-by-step explanation:

3
5
7
9
у
6
12
18
24

Answers

Step-by-step explanation:

3 to the 5 must add 2 so to find answers 'y' we must add 2 at 9 so answers is 11

the table below shows the heights of several books. Jean stacks a dictionary on top of her novel. How high is the stack of the two books?

A:between 5 and 5 1/2 inches
B:between 5 1/2 and 6 inches
C:between 4 1/2 and 5 inches

GIVING BRAINLIEST IF CORRECT PLSS HEP QUICKK!!!!!

Answers

Answer:

Between 5 and 5 1/2 inches

Step-by-step explanation:

Between 5 and 5 1/2 inches

are 7/18 and -21/-56 are equivalent​

Answers

Answer:

yes they are equivalent. if you simplify -21/-56 by dividing it by 3 you will get -7/-21 which equals to 7/21

One number exceeds another by 5. The sum of the numbers is 89. What are the numbers ?

Answers

Answer:

42

Step-by-step explanation:

89-5=84

84÷2=42

and reverse it to check

(42+5)+(42)=89

The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own neighborhood. Caleb has had his business for more than a year and has experimented with different prices for his services. He is willing to share what he has learned with you as you begin to plan your business. The Project: Use the information provided in the Performance Task to learn more about your competition and the costs of your business. See what you can discover by looking at Caleb's sales records to help you decide how to set up and price your own dog-walking services. Use the questions below to help you gather information and get your new business off to a profitable start. Understanding the Competition 1. Explore the three competitors in your area to learn more about the services they offer and how they reach their customers. Fill in the table below to help you compare their businesses. (12 points: 1 point for each table cell)
Outward HoundA1-Pet Services Debbie's Daily Dog Walks What services does the business offer? What do you know about the type of business and its staff? Who are the target customers? How much does the business charge?2. Now that you know a bit about the competition, it's time to get more specific about your business offering. (6 points: 3 points for describing services, 1 point for each of the other questions)
List three services you would like to offer. Do any of these services require you to buy special items? If so, what would you need to buy? Describe the type of customer you believe your business will appeal to and explain why. If you had to guess now, how much do you think you should charge for a 30-minute dog walk? Calculating Your Business Costs 3. Use the table below to summarize your monthly business costs. Record each option you choose in the "Options selected" column. (9 points: 1 point for each completed table cell)
Cost type Total cost per month Options selected Advertising Goods Transportation Licensing TOTAL 4. Explain the choices you made that determined your business costs in each cost category. (4 points: 1 point for each explanation) In your explanation, be sure to describe: ❑ Your advertising choices ❑ The goods you will purchase ❑ Your transportation needs
❑ Whether you chose bonding ❑ The reasons for your choices Advertising: Goods: Transportation: Bonding:
loading...
With every price decrease of $1, Caleb (gained/lost) ___________ customers. 6. Write a profit equation for Caleb's business. Profit = Price • Number of customers – Cost To write the profit equation, use the following assumptions: ❏ Express price and number of customers in terms of the same variable, x. ❏ Let x = the change in price from the price that gave Caleb the greatest revenue. Use the information in the table to answer these questions. (9 points: 1 point per blank) a. At what price did Caleb make the most revenue per month? How many customers did he serve at that price? Price: _________ Number of customers: _________ b. Write an expression for price. Use the price identified in part a. Let x represent the change in Caleb's price from this price. Price = __________ + ____________ c. Write an expression for the number of customers. Use the number of customers identified in part a, and the decrease in number of customers when Caleb increases his price by $1 (from question 5). Number of customers = _________ – __________x d. Write Caleb's profit equation. Use the expressions you identified in parts b and c. Assume Caleb's costs amounted to $200 each month. Profit = Price • Number of customers – Cost Profit = ___________ • ____________ – _________
Maximizing Your Profits You've done a lot of research. Now it's time to try to maximize the profit of your new business. 7. Write and simplify your personalized profit equation. Complete the profit equation, using the price and customer expressions from question 6 and your total cost from question 3. (6 points: 1 point for each element: price, number of customers, and cost; 3 points for writing and simplifying the profit equation) 8. Now find the maximum point on the graph of your profit equation (the vertex). (5 points: 1 point for each box in part a; 2 points for part b) a. b. Substitute x into the profit function to find the maximum profit. Maximum profit: . According to your model, what price should you charge to maximize profit? Explain how you know this is the best price. (Hint: Remember that x represents change in price from $22, not price.) (3 points: 1 point for price and 2 points for explanation) 10. What are the break-even points of the profit function (the values of x where profit equals 0)? Use the quadratic formula. (4 points: 2 points for each x-value) 11. According to your model, between what two prices should you price your service? Why would you want to keep your price between those limits? (4 points: 2 points for the break-even values, and 2

.
+
1

Answers

Answer:

Here is the answer. :)

Please do mark me brainlist.

Answer:

3.7.2 Project: Your Dog-Walking Business Project

Algebra I Sem 2 (S4982522) Ahmad Anwar

Points possible: 80 Date: 3/27/19

The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own

neighborhood. Caleb has had his business for more than a year and has experimented with different

prices for his services. He is willing to share what he has learned with you as you begin to plan your

business.

The Project: Use the information provided in the Performance Task to learn more about your

competition and the costs of your business. See what you can discover by looking at Caleb's

sales records to help you decide how to set up and price your own dog-walking services.

Use the questions below to help you gather information and get your new business off to a

profitable start.

Understanding the Competition

1. Explore the three competitors in your area to learn more about the services they offer and how

they reach their customers. Fill in the table below to help you compare their businesses.

(12 points: 1 point for each table cell)

Outward Hound A1-Pet Services Debbie’s Daily Dog Walks

What

services

does the

business

offer?

Their unique services focus

on off-leash dog park play,

nature trails and wilderness

hikes, and social play with

other dogs

Their services include private

walks, distribution of food,

water, and medications,

stop-in pet sitting,

mail-pickup, and plant

watering

Her services include daily

leash-walks and playtime

supervision, distribution of

food and fresh water, mail

and newspaper pickup, and

turning house lights on and

off

What do you

know about

the type of

business

and its

staff?

Outward Hound is a small

business staffed by dog

lovers with extensive

training in animal behavior

and nutrition.

A1-Pet Services is a

nation-wide franchised

pet-service company. They

specialize in caring for pets

when their owners are away

from home.

Debbie's Daily Dog Walks is

a one person business. Her

services are available for a

day or an extended period of

time.

Who are the

target

consumers?

Outward Hound's

customers pay a premium

for their staff's expertise and

innovative services. They

are licensed, bonded, and

insured.

Their customers have pets

that need a strict schedule,

and the reliability of this

service is most important.

Her customers are

cost-conscious and

appreciate the low cost of her

services.

How much

does the

business

charge?

They charge per day at a

rate equivalent to $35 per

30 minutes.

Their rates are considered

average at $20 per 30

minutes.

She charges $12 per 30

minutes.

2. Now that you know a bit about the competition, it’s time to get more specific about your business

offering.

(6 points: 3 points for describing services, 1 point for each of the other questions)

List three services you

would like to offer.

The services I would like to offer are daily leash-walks and playtime supervision,

distribution of food and fresh water.

Do any of these

services require you to

buy special items? If so,

what would you need to

buy?

I need to buy leashes and leads, fetching toys, treats, cleanup bags.

Describe the type of

customer you believe

your business will

appeal to and explain

why.

The type of customer I believe my business appeals to is a casual person who

needs their dog watched by.

If you had to guess

now, how much do you

think you should charge

for a 30-minute walk?

I think I should charge around $20 for a 30-minute walk.

Calculating Your Business Costs

3. Use the table below to summarize your monthly business costs. Record each option you choose in

the “Options selected” column.

(9 points: 1 point for each completed table cell)

Cost-Type Total Cost per Month Options Selected

Advertising $12 Color flyers

Business website

Business cards

Social media advertising

Goods $37 Leashes and leads

Fetching toys

Treats

Cleanup bags

Transportation $75 Walking

Bicycle Maintenance

Bus/metro pass

Gas for vehicle

Licensing $160.75 Insurance

Business registration

Bonding

Total $284.75

4. Explain the choices you made that determined your business costs in each cost category.

(4 points: 1 point for each explanation)

In your explanation, be sure to describe:

❑ Your advertising choices

❑ The goods you will purchase

❑ Your transportation needs

❑ Whether you chose bonding

❑ The reasons for your choices

Advertising:

Goods:

Transportation:

Bondin

Step-by-step explanation:

please mark me brainliest!!

find the 7th term of 4,5,6.25

Answers

Answer:

same i dont know just need points but good luck

ppppppllease help meeeeee :)

Answers

I think is c because you just flipping the the letters and It should be the same answer ...but I’m not sure....
the answer is 76 there isn’t another number being included therefore it would be 76
answer=76

Find the perimeter of a rectangle whose length is 25cm and breadth is 18 cm​

Answers

Answer:

86 cm is the perimeter

Step-by-step explanation:

What is the value of x? 5 + 1/5x = 5

Answers

Pretty sure that’d be 0 or No Solution

Answer:

x = 0

Step-by-step explanation:

5 + 1/5x = 5

Subtract 5 from both sides.

1/5x = 0

Divide both sides by 1/5

x = 0

I hope this helps!

what is the solution to the system of equations?

Answers

The correct answer is b

PLSS HELPPP

FIRST PERSON TO ANSWER GETS BRAINLIEST!!!

Answers

answer: 38, 76, 65

explanation: i’m good at math

Answer:

top angle: 38bottom left: 77bottom right: 65

Step-by-step explanation:

Please help I need it ASAP!!

Answers

Answer:

5+z=190....././......


Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
of ginger ale on sale for 20 cans for $6.00. Which store has the better deal?

Answers

Answer:

Giant has the better deal

Step-by-step explanation:

4.00/ 12 is .3333333

6.00/20 is .30

so . 30 is less that .3333333333

therefore Giant has the better deal

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