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
stiv31 [10]
3 years ago
12

Circle 1 is centered at (5, 8) and has a radius of 8 centimeters. Circle 2 is centered at (1, −2) and has a radius of 4 centimet

ers. What transformations can be applied to Circle 1 to prove that the circles are similar?
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:
nataly862011 [7]3 years ago
4 0
<span>Circle 1 is centered at (5, 8) and has a radius of 8 cm
</span><span>
</span>Circle 2 is centered at (1, −2) and has a radius of 4 cm

To transform circle 1 to circle 2 ⇒⇒ we need to transform (5,8) to (1,-2)
<span>the transformation rule (x-4 , y-10) </span><span>
</span><span>because  5-1 = 4  and   8-(-2) = 10
</span>
<span>while circle 1 has a radius = 8 and the circle 2 has a radius = 4 cm
</span><span>
</span>So, the <span>dilation factor = 4/8 = 0.5
</span><span>
</span>
<span>The correct answer is :
</span>
<span>The circles are similar because you can translate Circle 1 using the transformation rule ( x-4 , y-10) and then dilate it using a scale factor of 0.5</span>


You might be interested in
Solving systems of equations using substitution p=q+2<br> 4p+3q= -27
GREYUIT [131]
Ok, so you are given the value of P=q+2

The substitution method tells us that we must insert the value we know, into the second equation, 4P+3q= -27


Doing so will give us 4(q+2)+3q= -27

For right now, lets just focus on the first part, 4(q+2)

We can simplify this by distributing(multiplying) the 4 to whats inside the variables.

This will give us 4q+8

now lets add this back to the rest of the equation >>>  4q+8+3q = -27

We can further simplify by adding like terms >>> 7q+8 = -27

subtract the 8 from both sides >>> 7q = -35

now divide both sides by 7 >>> q = -35/7

Therefor q = -5

EDIT* 

now that we know q = -5 we can put q into the equation for P !

we know that p=q+2

so lets put q in now >>> p=(-5)+2

and simplify>>> p = -3

I hope this helps:)
6 0
3 years ago
A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the pr
Morgarella [4.7K]

Answer:

4/75

Step-by-step explanation:

We have two sample spaces

1.Lottery balls

2. Month of the year

For lottery balls the sample space is S= 50

Multiples of 3 between 1 and 50 are

(3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48)= 16 in numbers

Hence the probability of choosing a multiple of 3

Pr(multiple of 3) = 16/50= 8/25

Also the sample space for months of the year is S= 12

Two months starts with letter m, March and may

Pr(of months with m) = 2/12= 1/6

the probability of choosing a multiple of 3 and a month starting with the letter M= 8/25*1/6= 8/150= 4/75

6 0
3 years ago
If ON is a midsegment of KLM, find LM.<br><br> A.2<br> B.3<br> C.4<br> D.5
Aleksandr-060686 [28]
NO is 2 times LM

2(x+1) = 4x

2x + 2 = 4x

2 = 2x

1 = x

Plug that in for 4x

4(1)

4
4 0
3 years ago
Read 2 more answers
Whats the best definition<br> of slope
yanalaym [24]

Answer:

The slope of a line is a number that defines the direction + steepness of a linear function. It can be found using the formula rise/run.

Step-by-step explanation:

Not sure how to explain this otherwise but that is what the slope is. ^

8 0
3 years ago
Read 2 more answers
Evaluate the expression when n= -2<br> 5n+30
sammy [17]

Answer:

20

Step-by-step explanation:

5(-2)+30 = (-10)+30 = 20

6 0
3 years ago
Read 2 more answers
Other questions:
  • Given the replacement set {0, 1, 2, 3, 4}, solve 6x – 3 = 3.
    8·1 answer
  • you deposited 8500 dollars in a savings account that earns a simple interest rate what interest rate do you need to be paid if y
    11·1 answer
  • Convert each degrees minutes seconds into decimal degrees <br> 351°41’142”
    12·1 answer
  • Twelve friends shares 4 pizzas equally. what fraction of pizza does each friend ?
    15·1 answer
  • Explain the difference between evaluating an expression and solving an equation. Use examples to support your explanation.
    8·1 answer
  • Whats the answer for 2x+3y=-13 <br><br> I would appreciate all of the work please and thank you
    8·2 answers
  • If 196 soldiers are arranged in a square field how many soldiers are there in the first row? ​
    5·1 answer
  • - Approximately 6.5 x 10^5 gallons of water flow over a waterfall each second. There are 8.6 x 10^4 seconds in 1 day. » Select t
    8·1 answer
  • Look at the fraction and decide which comment matches the situation
    6·1 answer
  • 2. (01.01)<br> Evaluate 32+(5-2)-4-<br> O 19<br> O 16<br> O 46<br> 24<br> 3<br> . (1 point)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!