In the diagram, the circle will be dilated by a scale factor of 3 about the origin. The points C, A and B map to C, A and B'after the dilation. What
is the length of CB? Use the distance formula to help you decide: d = (x2-x)+(y2 - y.)?
18+
164
A = (8.15)
B = (12, 13)
12
101
C = (8.10)

Answers

Answer 1
The answer is A 8.15
Answer 2

The length of line segment CB is 5 units.

What is distance formula?

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Given that, A=(8, 15), B = (12, 13) and C = (8, 10)

Here, substitute (x₁, y₁)= (8, 10) and (x₂, y₂)=(12, 13) in distance formula, we get

CB = √[(12-8)²+(13-10)²]

= √(4²+3²)

= √(16+9)

= √25

CB= 5 units

Therefore, the length of CB is 5 units.

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Related Questions

A $325 suit is marked down to $286. Find the percent of change. Explain please

Answers

There was a 12 per event decrease in price

You need to use a percent proportion, which is hard to explain, so I recommend you’d look up what it mean. Anyways here’s how to solve:

Emma can run 4.5 miles in 36 minutes. How many miles can she run in 2 hours if she keeps a constant pace?

Answers

Answer:

13.34

Step-by-step explanation:

Answer:

15 miles is the answer, I hope this helps

Step-by-step explanation:

1. Set up a proportion

2. Convert 2 hours to 120 minutes

3. Cross multiply then divide the remaining number in the proportion

please help for 10 points.​

Answers

Answer:

w/9 > 23

Step-by-step explanation:

Answer:

9 ÷ w > 23

Hopes this helps :)

A concert hall sells tickets in three different price ranges. For each price range, there are both adult and child
rates.
Concert Hall Prices
Adult Child
Rates.
Which statement describes the relationship between the adult ticket prices (a), in dollars, and the child ticket
prices (c), in dollars?

Answers

It would be a.
Each child price is 1/4 of the adult one, so the equation would be adult price•1/4= child price. Or, c=1/4a (both the equations do the same thing)

There are 18 girls and 24 boys who want to play a game. Each team will have both boys and girls on it. The ratio of boy and girls has to be the same for each team. Everyone must participate in the game. If the girls and boys form the greatest number of teams possible, how many boys will be on each team? *

Answers

Answer:

3:4 Ratio of Girls to Boys

Step-by-step explanation:

What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.

Answers

Answer:

x + 6 minus one-half x minus 2. Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.

Step-by-step explanation:

Answer:

Answer is a

Step-by-step explanation:

100% on my test

Help please

0.3 [. ] 0.4
What is the decimal
<,> or =

Answers

The answer to that is

A dice has the numbers 1-6 on it. Which of the events below has a higher probability of occuring?
а
an odd number
b
an even number
C
a number less than 5
d
a number greater than 3

Answers

Answer:

a number less than five

Answer:

So the number that has the greatest probability is a

Number less than 5

Step-by-step explanation:

odd numbr is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]

Even number is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]

a number less than 5 is [tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]

A number greater than 3 is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]

A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:

Exactly two balls are yellow

Answers

Answer:

1/6 is the probability. im pretty sure

Kelly rolls two number cubes 50 times. After each roll, she records whether the number on
each cube is even (E) or odd (O). Her results are shown in the graph. Based on Kelly's results,
which is the most reasonable prediction for the number of times two odd numbers will occur
when two number cubes are rolled 2,000 times?​

Answers

Answer:

480

Step-by-step explanation:

First add the numbers in the table together and put the total as a denominator in a fraction then the amount of times 2 odd numbers appeared as the numerator then put another fraction with 2,000 as the denominator and divide 2,000 by the total then multiply the numerator by that answer to get the correct answer.

Hope this helped!

Using fraction, When two number cubes are rolled 2,000 times , the number of times two odd numbers will occur is 480.

What is fraction?

A fraction is " a number is expressed as a quotient  in which numerator is divided by denominator".

According to the question,

Kelly rolls two number cubes 50 times, each cube is even (E) or odd (O).

The graph shows frequency of two numbered cube roll. The frequency of getting EO is 14, frequency of getting OE is 8, frequency of getting EE is 16 , frequency of getting OO is 12.

Total number of frequency = 14 + 8 + 16 + 12

= 50

The fraction of getting two odd numbers when cube is rolled 50 times

= [tex]\frac{12}{50}[/tex].               →(1)

In order to find, when two number cubes are rolled 2,000 times the number of times two odd numbers will occur.

= [tex]\frac{x}{2000}[/tex].            →(2)

Equating two fraction, to get value of 'x'.

[tex]\frac{12}{50} = \frac{x}{2000}[/tex]

[tex]\frac{12*2000}{50}[/tex]  = x

x = 12 × 40

x = 480.

Hence, using fraction, When two number cubes are rolled 2,000 times , the number of times two odd numbers will occur is 480.

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The product of (x+p)(x+q) can be written as x^2+(p+q)x+pq.
An intermediate step in this multiplication is
x^2+px+qx+pq=x^2+(p+q)x+pq.
Explain why px+qx=(p+q)x.
I'm Really confused please help!

Answers

Answer:

[tex]px+qx=(p+q)x[/tex] by taking out the common factors.

Step-by-step explanation:

It is given that the product of [tex](x+p)(x+q)[/tex] is [tex]x^2+(p+q)x+pq[/tex].

Given expression is

[tex](x+p)(x+q)[/tex]

Using distributive property, we get

[tex]x(x+q)+p(x+q)[/tex]

[tex]x(x)+q(x)+p(x)+p(q)[/tex]

[tex]x^2+qx+px+pq[/tex]

In middle terms px and qx the highest common factor is x. So taking out common factor from middle terms we get

[tex]x^2+x(q+p)+pq[/tex]

It can be written as

[tex]x^2+x(p+q)+pq[/tex]

Therefore, [tex]px+qx=(p+q)x[/tex] by taking out the common factors.

Find the missing length.

Answers

Answer:

15

Step-by-step explanation:

10 divided by 2 is 5. 6 divided by 2 is 3. 5 times 5 is 25 and 3 times 5 is 15

Answer:

15

Step-by-step explanation:

.....................................................

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:

Answers

Answer:

80? bc yhu cant use solution a because it only has 35...i think

Step-by-step explanation:

if im wrong sorry

The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.

From the information given, we can set up the following equations:

Equation 1: The total amount of solution is 90 ounces, x + y = 90

Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90

Simplifying Equation 2:
0.35x + 0.80y = 36

To solve these equations, we can use substitution or elimination. Let's use the substitution method.

From Equation 1, we can express x = 90 - y and substitute it into Equation 2:

0.35(90 - y) + 0.80y = 36

31.5 - 0.35y + 0.80y = 360

45y = 4.5y = 10

Substituting y = 10 back into Equation 1:

x + 10 = 90

x = 80

Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

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Maya is researching energy costs. She made a table of the cost for different numbers of gallons of gasoline. How much will 12 gallon cost?
A.$7.80

B.$23.40

C. $31.20

D. not enough information

Answers

Answer:

The answer is B

Step-by-step explanation:

BEcause I took the test

Answer:

B. $23.40

Step-by-step explanation:

1. You have to divided the cost by the number of gallons to get the the cost per gallon

2. multiply the number of gallons by the cost per gallon that you found

Then you have your answer!

What is the range of this function?

Answers

Answer:

2

Step-by-step explanation:

Cause

Pls someone help on this one

Answers

Answer:

a) Turned around and went back to their starting point

b) 8km/h

Step-by-step explanation:

a) the numbers on the left running vertically show the distance covered. When the line goes down again, it shows that Jo was taking away from the distance covered. After 10 minutes, Jo turned and went back to their starting point.

b) from 30 mins to 60 mins is half an hour. In that time, Jo covered 4km and therefore, if they continued at the same speed, in 1 hour (30 mins x 2), Jo would have covered 8km (4km x 2).

∴ Jo is travelling at 8km/h for the last half hour.

I hope this was helpful :-)

alejandro rosario or mattia polibio?

Answers

Answer:

Alejandro Rosario

Step-by-step explanation:

he is just really cute, well both of them are, but his personality seems nice.

Answer:

ale

Step-by-step explanation:

Solve for x in the given triangle. A) -9 B) -7 C) 7 D) 6



Answers

Wheres the triangle??

Katie has a cube with an edge length of
3 inches. Malea has a cube whose volume is 8
times greater than the volume of Katie's cube.
What is the length of Malea's cube?

Answers

Answer:

216 inches^3

Step-by-step explanation:

Volume= Length x Width x Height

Volume of Katie's cube is 3x3x3 (27 inches^3)

Malea's cube is 8x the volume of Katie's cube, so Malea's cube is 8 x 27, which is 216 inches^3

What is the area of the rectangle?
4 cm
3 cm
4 square centimeters
7 square centimeters
12 square centimeters
24 square centimeters

Answers

The area of the rectangle is 3x4

Which equals 12
So it is C

help so hard!!! i need help

Answers

Answer:

1. b

2. are like terms

Step-by-step explanation:

1. this is b because when you distribute, each of the terms in the parentheses will get multiplied by 3.

2. these are like terms because they have no variables. they are just numbers so they are like terms

Find the area. Will mark brainliest.

Answers

Answer:

21 sq ft :) 20 characters long

The answer is 21 when you plug it in to the formula. Hope that helped!

PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY

Answers

Answer:

no it's not a reflection

Step-by-step explanation:

a reflection would not be upside down like that, it would be the same thing rotated

Fiona receives a base weekly salary of $400 plus a commission of $75 for each lawn service contract she gets signed. An 8.8% tax is taken out of each paycheck she receives. If Fiona had 12 new clients sign contracts during her last 2-week pay period, how much money in taxes should she expect to be taken out?

Answers

Answer:

$149.60

Step-by-step explanation:

Which of the following is an equation?
x+y
2x – 7 = 13
3x + 5y > 9
3x + 5y - 9

Answers

2x -7=13 is an equation because it has an equal sign.

Please help with this

Answers

Answer:D

Step-by-step explanation:

There is no way this graphs are going to intersect.

the straight line has the equation y=1/2x +1 and the u shape graph has the quation y=x^2  

The is no way this lines are going to intersect.

WILL MARK THE BRAINLIEST!!!!!
[only answer the 2nd and the 3rd]

Answers

Answer:

2. 120 cm^2

3. 3,750 cm^2

Step-by-step explanation:

To find the surface area of a rectangular prism, find the surface area of each side, then add them together.

2. There are two different shapes of faces on this prism (as with all rectangular prisms). One face's surface area has a measure of 4 cm by 6m. To find the surface area of that face, multiply each side length. 4 * 6 = 24. Let's call this length A.

Then, find the surface area of the other face. The other face has a measurement of 4 cm by 3 cm. 4 * 3 = 12. Let's call this length B.

Now, find the amount of each face on the prism. Length A appears 4 times: the front, back, top, and bottom are all the same shape. Length B appears 2 times: the left and right sides. Therefore, multiply length A's surface area by 4 and length B's surface area by 2.

24 * 4 =  96

12 * 2 = 24

Lastly, add both numbers together.

96 + 24 = 120

Adding the label, we get the final answer: 120 cm^2.

3. Now, apply the same steps to problem #3.

One face has a measurement of 45 cm by 25 cm. This means that the surface area of that face is 1,125 cm. Let's call this length A.

The other face has a measurement of 15 by 25. This means that the surface are of that face is 375 cm. Let's call this length B.

Length B appears 4 times, and length A appears twice. Evaluating 375 * 4, we get 1,500. Evaluating 1,125 by 2, we get 2,250.

Lastly, adding 2,250 to 1,500 and adding the label, we get the final answer: 3,750 cm^2.

Which ordered pair is a solution of the equation?
2x + 4y = 6x - y

a. only 4,5
b. only 5,4
c. both 4,5 and 5,4
d. neither

pls answer​
ill mark brainliest

Answers

You Answer is: 4x - 5y = 0

Answer:

b. only 5,4

Step-by-step explanation:

I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!

Answers

Try to find what the cost will be for 0 attendees. That’s the base cost.

So every time you add 15 people, the cost increases by 105.
At 0 people it will be 370-105=265

Answer:

D. $265

Step-by-step explanation:

The table represents the temperature of a cup of coffee over time.Which model best represents the data set? exponential, because there is a relatively consistent multiplicative rate of change exponential, because there is a relatively consistent additive rate of change linear, because there is a relatively consistent multiplicative rate of change linear, because there is a relatively consistent additive rate of change

Answers

Answer:

A.   exponential, because there is a relatively consistent multiplicative rate of change

step-by-step explanation:

edge

Answer:

This question is multiple choice and the answer would be A

Step-by-step explanation:

I just took it its correct

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