Circle a is defined as (x+5)^2 + (y+6)^2 + 16, and circle b is defined as (x+3)^2+(y+2)^2 =9. Which transformation of circle a shows that circle b is similar?

Answers

Answer 1

Answer:

We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)

Step-by-step explanation:

We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:

[tex]T(x,y) = B(x,y)-A(x,y)[/tex] (1)

Where:

[tex]T(x,y)[/tex] - Translation vector.

[tex]A(x,y)[/tex] - Location of the center of the circle A.

[tex]B(x,y)[/tex] - Location of the center of the circle B.

If we know that [tex]A(x,y) = (-5,-6)[/tex] and [tex]B(x,y) = (-3,-2)[/tex], then the translation vector is:

[tex]T(x,y) = (-3,-2)-(-5,-6)[/tex]

[tex]T(x,y) = (2,4)[/tex]

We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)

Answer 2

Answer:

Step-by-step explanation:D


Related Questions

what is the first step in evacuating the expression below

Answers

Answer:

adding 4 +2

Step-by-step explanation:

in parenthesis

For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90

Answers

Answer:

38

Step-by-step explanation:

128 + angle G= 180

angle G = 180-128= 52

m+ 52 = 90 ( complementary angles)

m= 90-52= 38

The wait time for your local pizzeria to deliver food is normally distributed with µ = 40 minutes and σ = 3.5. What is the probability the next pizza delivery will take over 47 minutes? 2.15% 13.6% 2.28% 4.56%

Answers

Answer:

2.28%

Step-by-step explanation:

Given that:

µ = 40 minutes ; σ = 3.5.

x = > 47 minutes

Obtain the standardized score, Z

Zscore = (x - μ) / σ

P(x > 47) = (47 - 40) / 3.5

P(x > 47) = 7 / 3.5

P(x > 47) = 2

P(z > 2) = 0.02275

Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%

Final Answer is: 2.28%

I got it right when I did it! :)

The Williams family bought four concert tickets for $252. What was the price per
ticket?

Answers

Answer:

$63

Step-by-step explanation:

$252 ÷ 4 = $63

Answer:

Step-by-step explanation:

The family bought 4 tickets

The total cost is $252

So that means you have to divide $252 by the number

of tickets bought which is 4

$252÷4=$63

Answer: Each ticket cost $63

Can I please get help!!
Just answer the questions please

Answers

Answer: x = 12

Steps:
72 + (3x + 2) = 110
72 + 3x + 2 = 110
74 + 3x = 110
3x = 110 - 74
3x = 36
x = 36/3
x = 12

Check:
72 + (3x + 2) = 110
72 + 3x + 2 = 110
72 + 3(12) + 2 = 110
72 + 36 + 2 = 110
110 = 110 ✅

Brainliest???
The answer is 12 your welcome

Calculate the surface area.
Thank you for the help
i will mark brainiest

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 659.7 yd^2

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

I'd appreciate any help I can get! :) A gold statue has a diameter of 60 inches and a height of 80 inches. It has a total volume of 320 inches cubed. The replica is proportional to the statue. The replica's height is 100 inches. What is the replica's volume?

Answers

Answer:

Volume of replica = 625 cubic inches

Step-by-step explanation:

Height of the gold statue = 80 inches

Volume of the gold statue = 320 cubic inches

Height of the replica = 100 inches

Dimensional scale factor = [tex](\frac{\text{Dimension of the replica}}{\text{Dimension of the original statue}})[/tex]

                                      = [tex]\frac{100}{80}[/tex]

                                      = 1.25

Volume scale factor = [tex]\frac{\text{Volume of replica}}{\text{Volume of original}}[/tex]

Since, volume scale factor = (Dimensional scale factor)³

[tex]\frac{\text{Volume of replica}}{\text{Volume of original}}=(1.25)^3[/tex]

Volume of replica = (1.25)³ × Volume of original statue

                              = (1.25)³ × 320

                              = 625 cubic inches

Marsha is buying plants and soil for her garden. The soil cost $4 per
bag, and the plants cost $10 each. She wants to buy at least 5 plants
and can spend no more than $100. Write a system of linear
inequalities to model the situation.

Answers

Answer:

p ≥ 5

4s + 10p ≤ 100

Step-by-step explanation:

Here, we want to write a system of inequalities

Let the number of bags of soil be s and the number of plants be p

She wants to buy at least 5 plants

mathematically, when something is at least 5, it means greater than or equal to 5

In inequality, we have this as;

p ≥ 5

Secondly, she wants to spend not more than $100; she can spend less but cannot spend more

We have this as;

The number of bags she can buy at $4 per bag is 4 * s = 4s

the number of plants at $10 per one will be;

10 * p = 10p

Adding both should give a cost less than or equal to 100

We have this as;

4s + 10p ≤ 100

So, we have the system of inequalities as;

p ≥ 5

4s + 10p ≤ 100

Find the average value of the function y = 2x4 over the interval [- 2,2].

Answers

Answer:

ave. val. = -------------- = 0

Step-by-step explanation:

That's y = 2x^4 (the ^ symbol indicates exponentiation).

The average value of a function f(x) over the interval [a, b] is

                    f(b) - f(a)  

ave. val. = ----------------

                       b - a

Here a = -2, b = 2 and f(x) = 2x^4.  Thus, f(a) = 2(-2)^4 = f(b) = 2(2)^4 = 32, and

the average value is:

                  32 - 32

ave. val. = -------------- = 0

                     2 - (-2)

28 people in 4 rooms: 63 people in 9 rooms. Are these ratios proportional?

Answers

the ratios are ratio proportional

Please answer the question above.

Answers

Answer:113

Step-by-step explanation:

Angle 4 is also 67° because it is a vertical angle to angle 8.

Plsss help


I’ll mark u brainlest plssss helpp

Answers

Answer:

x = 93 degrees

Step-by-step explanation:

Answer:

x= 93°

Step-by-step explanation:

the angles are corresponding angles

this means they have the same angle measure.

the bottom one is 93° so that means the other one is 93° as well.

please help me I'm really behind​

Answers

Answer:

50.24

Step-by-step explanation:

4 = radius

To get the diameter you need to multiply the radius by two  4 x 4 = 16 use 3.14 =  3.14 x 16 =  50.24 THERE IS THE ANSWER!!!!

Catch up btw

Answer:

rtgfg

fdudh. just ucufjvivifiicuj. 8 coccucicciciu I o

Can anyone help me with this problem?

Answers

The answer is: Y = 1/6 x -3

hey can you solve this I'm weird at maths

[tex] \sqrt{144} = 12 \times x[/tex]
what's x ?​

Answers

Answer:

The square root of 144 = 12

Step-by-step explanation:

12 X 12 = 144

A square root of a number is a value that, when multiplied by itself, gives the number.

Answer:

x=1

Step-by-step explanation:

and yes you r weird

...

What is the value of x?​

Answers

Answer:

63 degrees

Step-by-step explanation:

1.
Solve 17 - x = 1 + 3x

Answers

x = 8

We’ll combine like terms by getting all the x terms on the right, all the digits on the left.

16 = 2x
Divide both sides by 2
x = 8

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

1) Add x to both sides.

[tex]17 = 1 + 3x + x[/tex]

2) Simplify 1 + 3x + x to 1 + 4x.

[tex]17 = 1 + 4x[/tex]

3) Subtract 1 from both sides.

[tex]17 - 1 = 4x[/tex]

4) Simplify 17 - 1 to 16.

[tex]16 = 4x[/tex]

5) Divide both sides by 4.

[tex] \frac{16}{4} = x[/tex]

6) Simplify 16/4 to 4.

[tex]4 = x[/tex]

7) Switch sides.

[tex]x = 4[/tex]

Therefor, the answer is x = 4.

Data was collected on the price of a hot dog and a drink at twenty different baseball stadiums. It was found that when
the price of a hotdog was low, the price of a drink was low and that when the price of a hotdog was high, the price of
a drink was high
Which statements are correct?

Answers

Answer: the price of a hot dog was low and the drink was low

Step-by-step explanation:hope this helps

suppose that 12 dimes and nickels are worth 95 cents. how many dimes and nickels are there? use systems of equations to solve.

Answers

Answer:

7 dimes and 5 nickles

Step-by-step explanation:

7 times 10 equals 70 5 times 5 equals 25. 70 plus 25 equals 95

Solve the equation for d.

0.2d+3.14=5.06

What is the value of d that correctly solves the equation?

Enter your answer as a number with one decimal place, like this: 4.2

Do not round your answer.

Answers

Answer:

d=9.6

Step-by-step explanation:

0.2d+3.14=5.06

                - 3.14

_________________

                   1.92

0.2d=1.92

1.92/0.2= 9.6

If a=3 and b=7, find the value of
5a​

Answers

Answer: 15

Step-by-step explanation: All the information you need is a=3

5a is the same as saying 5xa or 5x3, so there you have it- 15

Hope this helps <3

True or False: {5, 6, 7...10) is an example of an infinite set.

Answers

True


Explain - true
This is true. The elements of the set can’t be counted in a finite number.

ABC is isosceles AC=20 and BC= 3x-7

Answers

Answer:

x=9

Step-by-step explanation:

Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h

Answers

Answer:

the value of h is √676km

Step-by-step explanation:

The computation of the value of h is shown below

Here we apply the Pythagoreus theorem

= 24^2 + 10^2

= 576 + 100

= √676

Hence, the value of h is √676km

We simply determine by using the Pythagoreus theorem

Figure out $27 x 4 = n.

Answers

well 27 times 4 is 108 hope that helped

Answer:

$108

Step-by-step explanation:

20x4 = 80

7x 4 = 28

80+28 = 108

A TEAMS TOP SPEED FOR EACH LEG OF THE RACE IS 56.81 SECONDS, 59.22 SECONDS ,57.39 AND 60.1 WHAT IS THE BEST TIME

Answers

Answer:

56.81 SECONDS

Step-by-step explanation:

The best time would be the shortest time it takes to complete the race. This is 56.81 SECONDS

Multiple Choice Question
Write 6 + 12x in a factored form.
A. 6(1 + 2x)
B. 6 + (1 + 2x)
C. 6(1+ 12x)
D. 6 + (1+ 12x)

Answers

Answer:

A. 6(1+2x)

Step-by-step explanation:

we take 6 as Common factor out of the equation

Please help me I'm desperate!! Debbie is making bows that use 1/5 yard of ribbon each. If Debbie has 3 yards of ribbon how many can she make. Is this division or multiplication pls tell me that too.

Answers

division 3 divided by 1/5 is 15. She can make 15 bows with the ribbon

I have a test tmrw pls help

Answers

The answer is 5x -2y = 3

So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:

y-6=2.5(x-3)

y-6=2.5x-7.5

-2.5x+y=1.5

You buy a car for $8,000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?

Answers

The correct answer for this question would be about $4,467.2 according to my estimation.

If it’s not correct, I’m sorry, but if it is, please mark the brainliest!!
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