1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Scilla [17]
3 years ago
6

Circle 1 is centered at (−4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1) and has a radius of 6 centimet

ers. What transformations can be applied to Circle 1 to prove that the circles are similar? Enter your answers in the boxes. The circles are similar because you can translate Circle 1 using the transformation rule ( , ) and then dilate it using a scale factor of
Mathematics
1 answer:
IgorC [24]3 years ago
3 0
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?

To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).

Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.

Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
You might be interested in
22 quarts of orange juice is available. How many gallons of orange juice is available?
serg [7]

Answer:

5.5 gallons

Step-by-step explanation:

jdjehhsjdhdhdhdhdhdhsjakakkqnabsvdvxvxvdvdvdvdvdb

7 0
3 years ago
A survey was given to 339 people asking whether people like dogs and/or cats.
liubo4ka [24]

Answer:

80.

Step-by-step explanation:

Let C be the set of people who like cats and D the set of people who like dogs. Under the cardinality theorem you have

n(CUD) = n(C) + n(D) - n(CnD)[/tex], isolating the (C∩(D , you have n(C∩(D  = n(C) + n(D) - (C∪.As a total of 339 individuals, and 88 are those who do not like cats or dogs, then 251 of them are those who like cats or dogs. Then, n[tex](C∩(D  = 190 +141 -251 = 80

6 0
3 years ago
Show all work to multiply (3+ /(-16))(6-/(-64))
Reil [10]

Answer:

=50

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the value of 7 over 3 divided by 5 over 6
rodikova [14]

Answer:

7/3/5/6= 2.8

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Grant earns $5 for each magazine he sells.Write an equation in two variables showing the relationship between the number pf maga
slega [8]

Answer:

A=5m

Grant will make $60 from selling 12 magazines.

Step-by-step explanation:

Let m represent number of magazine sold and A represent amount of money earned.

We have been given that Grant earns $5 for each magazine he sells. So amount earned from m magazines would be 5 times m that is 5m dollars.

Now, we will equate total amount earned by Grant with A as:

A=5m

Therefore, our required equation would be A=5m.

To find the amount earned by Grant by selling 12 magazines, we will substitute m=12 in our equation as:

A=5(12)

A=60

Therefore, Grant will make $60 from selling 12 magazines.

3 0
3 years ago
Other questions:
  • The youth group is going on a trip to the state fair. The trip costs $64. Included in that price is $12 for a concert ticket and
    10·1 answer
  • Mrs. Smith’s wrote the number 43.38 on the board for a class discussion on place value. Explain the relationship between the two
    5·2 answers
  • 6+2|x+1|=36 what does the x equal
    9·1 answer
  • What is y=1.5x-8 please help
    15·1 answer
  • Eurostar is a high-speed railway service connecting
    14·1 answer
  • Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point)
    6·2 answers
  • The average honey bee can travel 10.5 feet per second. How many feet can the honeybee travel in 3.7 seconds?
    14·1 answer
  • Answer the question please:<br> The correct answer will be marked as brainliest =)<br> thanks xoxo
    12·2 answers
  • Pls help, due in a few minutes​
    13·1 answer
  • The results of a color spinner experiment are shown in the table. Consider the experimental probability of the spinner landing o
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!