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
Angie is holding 20 coins, all of which are either dimes or quarters. They have a value of $4.10. Determine how many coins of ea
77julia77 [94]
16 quarters and one dime
6 0
2 years ago
Read 2 more answers
The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in
never [62]
For this case we have the following equation:
 h (t) = - 12t2 + 36t
 When the object hits the ground we have:
 - 12t2 + 36t = 0
 We look for the roots of the polynomial:
 t1 = 0
 t2 = 3
 Therefore, the time it takes the object to hit the ground is:
 t = 3 s
 Answer:
 
the time when the object hits the ground is:
 
t = 3 s
7 0
3 years ago
Read 2 more answers
How many times does 42 going to 96
anygoal [31]

Answer:

As a whole number, 2.

As a whole number with a remainder, 2 R12.

Precisely 2.28571429 if you want to get specific.

Step-by-step explanation:

96 ÷ 42 = 2 R12

or

96 ÷ 42 = 2.28571429

Hope this helps! :)

3 0
3 years ago
Read 2 more answers
16. Solve for the angle x.<br> cos(¹/2x) = ¹/2
Basile [38]

Answer:

We know that ,

\rightarrow \tt \cos( \frac{\pi}{3} )  =  \frac{1}{2}

So ,

\:  \rightarrow \tt \cos( \frac{1}{2}x )    =  \cos( \frac{\pi}{3} )  \\  \\   \rightarrow \tt \frac{1}{2}.x =  \frac{\pi}{3}  \\  \\ \rightarrow \tt x =  \frac{2\pi}{3}

we can add 2 pi to it since there will be no change in the value

Also,

\: \rightarrow \tt  \cos( \frac{14\pi}{6} )  =  \frac{1}{2}  \\  \\  \\ \rightarrow \tt \frac{1}{2}  x =  \frac{14\pi}{6}  \\  \\ \rightarrow \tt x =  \frac{7\pi}{3}

Answer : Option B

6 0
2 years ago
A sphere has a diameter of 22 units what is the radius and volume
lilavasa [31]

Answer:


Step-by-step explanation:

11

7 0
3 years ago
Other questions:
  • Help me solve this solution
    7·1 answer
  • What reason explains why the m &lt; Q=115
    5·1 answer
  • Find three consecutive odd integers such that the sum of the smallest and 7 times the largest is 68
    8·2 answers
  • 60753473850__BBD0EA9C-4ECF-4833-A3D4-B0B975B8407D.jpeg
    11·1 answer
  • Describe the sequence of transformations that demonstrates the congruence between triangle ABC and triangle A´B´C´.
    9·1 answer
  • HELP HELP HELP!!
    11·1 answer
  • Write in plain language: d / 5 *
    10·1 answer
  • Which ordered pairs make both inequalities true? Select two options. y &lt; 5x + 2 y &gt; One-halfx + 1 On a coordinate plane, 2
    6·1 answer
  • Mandy created a treasure hunt in the sand at the beach. To keep track of where she buried four items, she graphed their location
    7·2 answers
  • In a group of 150, each person has a dog, a cat, or a bird. The frequency table shows how many people have each kind of pet. Com
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!