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
Goshia [24]
1 year ago
7

Circle A has center (0, 0) and radius 3. Circle B has center (-5, 0) and radius 1. What sequence of transformations could be use

d to show that Circle A is similar to Circle B?

Mathematics
1 answer:
Dmitrij [34]1 year ago
8 0

A translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) with a scale factor of 1 / 3 are necessary to transform circle A into circle B. (Correct choice: D)

<h3>What sequence of rigid transformations can be done on a circle</h3>

In this problem we must determine the sequence of transformations require to transform circle A into circle B. From analytical geometry we know that the equation of the circle in standard form is:

(x - h)² + (y - k)² = r²

Where:

  • (h, k) - Coordinates of the center.
  • r - Radius of the circle.

Then, we need to apply the following rigid transformations:

Translation

f(x, y) → f(x - h, y - k), where (h, k) is the translation vector.

Dilation with center at the center of the circle

r → k · r, where k is the scale factor.

The circle A is represented by x² + y² = 3, then we derive the expression for the circle B:

f(x, y) → f(x + 5, y - 2)

(x + 5)² + (y - 2)² = 9

r → k · r

(x + 5)² + (y - 2)² = (1 / 3)² · 9

(x + 5)² + (y - 2)² = 1

Then, a translation of T(x, y) = (- 5, 2) and a dilation with center (- 5, 2) are necessary to transform circle A into circle B.

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

You might be interested in
Ava borrowed some money from her friend in order to help buy a new video game system. Ava agreed to pay back her friend $2 per w
nydimaria [60]

We know that Ava is paying $2 dollars per week so if L is the money that she owes and t is the number of weeks, and I is the initial debt so we can write an equation like:

L=I-2t

Now we can replace the info we have to find the value of I so:

10=I-2(5)

and we solve for I

\begin{gathered} I=10+10 \\ I=20 \end{gathered}

So the final equation will be:

L=20-2t

8 0
1 year ago
What equation is equal to 11×-12
Nimfa-mama [501]
_______-12 x 11________
3 0
3 years ago
Read 2 more answers
Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t mod
iren2701 [21]
When the ball reaches the ground is equal to one of the zeros, or x-intercepts. In order to find the zeros of a function, you need to factor the equation.
y=16x^2+64x
y=-16x(x-4)
The zeros are x=0 and x=4
Therefore the answer is D, after 4 seconds.
Hope this helps!
7 0
3 years ago
Read 2 more answers
eric studied for 17.5 hours for a period of 4.5 days. On the average, how much did he study each day?
deff fn [24]
17. 5/4.5 = apx. 3.89


Hope this helps!

7 0
3 years ago
Finish the following statement: In the altitude to hypotenuse theorem, the ALTITUDE is the geometric mean...
madam [21]
The hypotenuse is believe is what your looking for if not I do not understand because of how it’s worded
8 0
3 years ago
Other questions:
  • Thirty percent of all the students in a school are in a Play. All except for 140 students are in the play. How many students are
    6·1 answer
  • In the town zoo 3/28 of the animals are birds of the birds for 4/15 are birds of prey what fraction of the animals at the zoo ar
    5·2 answers
  • f(x) = -4x^2+12x-9f(x)=−4x 2 +12x−9f, left parenthesis, x, right parenthesis, equals, minus, 4, x, squared, plus, 12, x, minus,
    11·1 answer
  • Which graph most closely models the data in the table
    8·2 answers
  • The distance between -4,1 and -2,2
    12·1 answer
  • Hi can someone help me with these? if its wrong then just tell me so i can fix those ;-;
    15·2 answers
  • How to find the missing values
    10·1 answer
  • Point T is located at (3, -5) on the coordinate plane. Point T is reflected over the x-
    5·2 answers
  • PLEASE ANSWER ONLY IF RIGHT.
    8·1 answer
  • What is the slope in the equation: y=4x+3<br>​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!