A circle with radius 5 and a center at (2, 3) was transformed to a circle with radius 10 and a center of (‒1, 4).

Show that the two circles are similar by describing the transformations that would have to be performed.

Answers

Answer 1
At least I made a graphic.

A Circle With Radius 5 And A Center At (2, 3) Was Transformed To A Circle With Radius 10 And A Center
Answer 2

Answer:

First of all, remember that all circles are similar to each other regardless of how to twist the cartesian plane.

Let the origin in first case(radius 5) be at (0,0) , so if we shift the origin to (2-(-1),3-(4)) = (3,-1) {shifting origin to shift the first circle to second's place}. So, we arrive at a circle of radius 5 and center (-1,4).

Since similarly has no constraints on size comparison increase the radius to 10 units. Thus we arrive at the circle of radius 10 and center (-1,4).

Step-by-step explanation:

First of all, remember that all circles are similar to each other regardless of how to twist the cartesian plane.


Related Questions

E.j. found a $45 sweater on sale for $27. what is the percent of discount?

Answers

Try to visualize the situation; "A percent multiplied by $45 will be me $27"

$45(x/100)=$27
x/100=27/45 
x/100=0.6 
x=60%

Therefore, the discount was 60% 

Hope I helped :) 

What is the conclusion of the following conditional a number is divisible by two if the number is even

Answers

If a number is even, then it is divisible by 2.
HOPE THIS HELPED 
If a number is even, then it is divisible by 2.

What is the greatest common factor of 120 60 160?

Answers

20 hope this helps please give brainliest
Hey there!

Finding GCF of: [tex]120,60,160[/tex]

[tex]120: 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120\\ \\ 60: 1,2,3,4,5,6,10,12,15,20,30,60\\ \\ 160:1,2,4,5,8,10,16,20,32,40,80,160 \\ \\ \\ Answer: 20 [/tex]

[tex]Good \\ luck \\ on \\ your \\ assignment \\ and \\ enjoy \\ your \\ day! \\ \\ \\ \\ MeIsKaitlyn:)[/tex]

Mr. Scott rented a bicycle for 6 hours on Saturday and then several more hours on Sunday. It cost $4 per hour to rent the bicycle, and he paid a total of $48. For how many hours did Mr. Scott rent the bicycle on Sunday? Choose two answers: one for the equation that models this situation and one for the correct answer. A. Equation: 6(4 + x) = 48 B. Equation: 4(6 + x) = 48 C. Answer: 4 hours

Answers

First, we would need to create an equation for this problem. Let x represent the unknown number of hours.
4(6 + x) = 48

Next, you would simplify the equation.
24 + 4x = 48

Now, you would combine like terms. 
4x = 24

Your last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 4. 
x = 6

I hope this helps!

Answer:

The equation that models this situation : [tex]4\times (6+x)=48[/tex]

Duration of bicycle rented on Sunday was of 6 hours.

Step-by-step explanation:

Cost of per hour to rent the bicycle = $4

Duration of bicycle rented on Saturday = 6 hours

Duration of bicycle rented on Sunday = x

Total mount paid = $48

[tex]\$4\times (6+x)=$48[/tex]

[tex]4\times (6+x)=48[/tex]

For solving for x:

[tex]x=\frac{48}{4}-6= 6[/tex]

Duration of bicycle rented on Sunday was of 6 hours.

BRAINLIETS ND POINTSTO ANSWER THAT SHOWS ALL WORK YOU MIGHT NEED TO WORK OUT ON PAPER!!!
you are given the following equation:
+6=4/5(+3)

3a. Identify the slope of the equation.

3b. Identify the point used in the equation.

3c. Graph the equation.

Answers

the slope is 4/5
the points used were (-3,-6) and (2,-2)

The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward. Which statements are true? Check all that apply.

Answers

the answer is the first and the third one

Answer:

A. The ball is at the same height as the building between 8 and 10 seconds after it is thrown.

C. The ball reaches its maximum height about 4 seconds after it is thrown

Step-by-step explanation:    • The ball is at the same height as the building between 8 and 10 seconds after it is thrown. TRUE - the height is zero somewhere in that interval, hence the ball is the same height from which it was thrown, the height of the roof of the building.

• The height of the ball decreases and then increases. FALSE - at t=2, the height is greater than at t=0.

• The ball reaches its maximum height about 4 seconds after it is thrown. TRUE - the largest number in the table corresponds to t=4.

• The ball hits the ground between 8 and 10 seconds after it is thrown. FALSE - see statement 1.

• The height of the building is 81.6 meters. FALSE - the maximum height above the building is 81.6 meters. Since the ball continues its travel to a distance 225.6 meters below the roof of the building, the building is at least that high.

Given right triangle MNO, which represents the value of cos(M)?

a) ON/MN
b) MN/MO
c) ON/MO
d) MN/ON

Answers

The answer would be, B MN\MO HOPE IT HELPS

The option that represents cos M is MN / MO

Using trigonometric ratios, we can find the ratio of sides of a right angle triangle.

Trigonometric ratios:sin x = opposite  / hypotenusecos x = adjacent / hypotenusetan x = opposite / adjacent

Therefore,

cos M = adjacent / hypotenuse

cos M = MN / 0M

Therefore, cos M = MN / MO

learn more on right angle triangle here: https://brainly.com/question/2796771?referrer=searchResults

Yearly attendance at a local movie theater is 56,000 and grows continuously at a rate of 4.2% each year. What is the approximate attendance at the movie theater in nine years?

Answers

Yearly attendance = 56,000
The growth rate is 4.2% or 0.042 per year.

That is,
Year 0: 56,000
Year 1: 56,000*1.042
Year 2: 56,000*1.042²

and so on.

This is a geometric sequence with
a₁ = 56,000 and r = 1.042

The n-th term is 
a(n) = a₁ rⁿ⁻¹

When n=9, obain
a₉ = 56,000*1.042⁸ = 77,826.9 ≈ 77,827

Answer: 77,827
Final answer:

The approximate attendance at the movie theater in nine years, with a continuous growth rate of 4.2%, is around 79,918.

Explanation:

The question provided can be solved using the formula for continuous growth, A = P ert, where A is the final amount, P is the initial principal amount (56,000 in this case), r is the rate of growth (4.2% or 0.042 when expressed as a decimal), and t is time in years (9 years here).

To find the approximate attendance at the movie theater in nine years, we substitute our values into the formula: A = 56000 x e(0.042 x 9). After calculating this, we find that the approximate attendance at the movie theater after nine years is about 79,918.

Learn more about Continuous Growth here:

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Solve for x. 9(x - 2) = 18
x = 0
x = 16/9
x = 20/9
x = 4

Answers

x - 2 = 18/9
x - 2 = 2
x = 2 + 2
x = 4

Answer: D)
x would equal 4.
I hope this helps :)
because if you do 9 times x it = 9x and 9 times -18
9x -18=18
9x=18+18
9x=36
x would equal 4

FOR 10 POINTS WILL MARK BRAINLIEST It costs $175 to rent a jet ski for 2 hours. It costs $300 to rent a jet ski for 2 hours. It costs 300$ to rent a jet ski for 4 hours. Write an equation that represents the cost y (in dollars) of renting a jet ski for x hours

Answers

y=$175+x I think this is it? one half of 175 is 87.5 so you know.
Final answer:

The equation that represents the cost y (in dollars) of renting a jet ski for x hours is y = -87.50x + 525.

Explanation:

The equation that represents the cost y (in dollars) of renting a jet ski for x hours can be found by analyzing the given information. Let's break it down step by step:

We are given that it costs $175 to rent a jet ski for 2 hours. This means the cost per hour is $175 / 2 = $87.50.We are also given that it costs $300 to rent a jet ski for 4 hours. This means the cost per hour is $300 / 4 = $75.Based on these two data points, we can see that as the number of hours increases, the cost per hour decreases. Therefore, we can infer that the cost of renting a jet ski is a linear function of the number of hours.Now, let's use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
In this case, we can use the point (2, 175) and the slope -87.50 to write the equation:
y - 175 = -87.50(x - 2)Simplifying the equation:
y - 175 = -87.50x + 175
y = -87.50x + 350 + 175
y = -87.50x + 525

Therefore, the equation that represents the cost y (in dollars) of renting a jet ski for x hours is y = -87.50x + 525.

(c) what is the probability that diameter is within 2 mm of the mean diameter? (round your answer to three decimal places.)

Answers

a. Probability density function (pdf) of X: 0.247 for 0.20 < x < 4.25.

b. Probability that diameter exceeds 2 mm: 0.556.

c. Probability that diameter is within 2 mm of the mean diameter: 0.988.

(a) Probability density function (pdf) of X:

For a uniform distribution with A = 0.20 and B = 4.25, the pdf is constant within the range A to B and 0 elsewhere. Therefore:

f(x) = 1 / (B - A) = 1 / (4.25 - 0.20) = 1 / 4.05 ≈ 0.247 for 0.20 < x < 4.25

(b) Probability that diameter exceeds 2 mm:

P(X > 2) = (4.25 - 2) * f(x) = 2.25 * 0.247 ≈ 0.556

(c) Probability that diameter is within 2 mm of the mean diameter:

The mean of a uniform distribution is (A + B)/2 = (0.20 + 4.25)/2 = 2.225.

So, we need to find P(2.225 - 2 < X < 2.225 + 2), which is P(0.225 < X < 4.225).

P(0.225 < X < 4.225) = (4.225 - 0.225) * f(x) = 4 * 0.247 ≈ 0.988

Complete question:

An article considered the use of a uniform distribution with

A = 0.20 and B = 4.25

for the diameter X of a certain type of weld (mm).

(a) Determine the pdf of X. (Round your answers to three decimal places.)

0.2<x<4.25

(b) What is the probability that diameter exceeds 2 mm? (Round your answer to three decimal places.)

(c) What is the probability that diameter is within 2 mm of the mean diameter? (Round your answer to three decimal places.)

Your friend weights 62 kg, how many grams is this?

Answers

the answer is 62000 grams. Hope I helped.

it will be 62000 grams! hope this helps! 

Perry surveyed 60 students at her school and found that 0.45 of the students she surveyed said their favorite class is math. Another 35% of the students she surveyed reported that their favorite class is science. How many more students in the survey prefer math over science? 6 7 27 21

Answers

the answer is 27 students

Mr. Lewis sees a red light ahead and applies the brakes on his car. The car travels 300.5 feet before coming to a stop. For each foot the car travels during this time, its speed changes by −0.2 miles per hour.

What is the total change in the car's speed during that time?

a) -36.15
b) -60.1
c) 60.10
d) 36.15

Answers

multiply 300.5 feet by -0.2 mph

300.5 * -0.2 = -60.1 change

Which ordered pairs are solutions to the inequality 2x+y>−4?
Select each correct answer.



(5, −12)

(−3, 0)

(−1, −1)

(0, 1)

(4, −12)

Answers

we will proceed to resolve each case to determine the solution

we have

[tex]2x+y>-4[/tex]

[tex]y>-2x-4[/tex]

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

case a) [tex](5,-12)[/tex]

Substitute the value of x and y in the inequality

[tex]-12>-2*5-4[/tex]

[tex]-12>-14[/tex] ------> is True

therefore

the ordered pair [tex](5,-12)[/tex] is a solution of the inequality

case b) [tex](-3,0)[/tex]

Substitute the value of x and y in the inequality

[tex]0>-2*-3-4[/tex]

[tex]0>2[/tex] ------> is False

therefore

the ordered pair [tex](-3,0)[/tex] is not a solution of the inequality

case c) [tex](-1,-1)[/tex]

Substitute the value of x and y in the inequality

[tex]-1>-2*-1-4[/tex]

[tex]-1>-2[/tex] ------> is True

therefore

the ordered pair[tex](-1,-1)[/tex] is a solution of the inequality

case d) [tex](0,1)[/tex]

Substitute the value of x and y in the inequality

[tex]1>-2*0-4[/tex]

[tex]1>-4[/tex] ------> is True

therefore

the ordered pair [tex](0,1)[/tex] is a solution of the inequality

case e) [tex](4,-12)[/tex]

Substitute the value of x and y in the inequality

[tex]-12>-2*4-4[/tex]

[tex]-12>-12[/tex] ------> is False

therefore

the ordered pair [tex](4,-12)[/tex] is not a solution of the inequality

Verify

using a graphing tool

see the attached figure

the solution is the shaded  area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality


Solve the equation using inverse operations. Check your solutions. In your final answer, include all of your work. 1/4X^3=-27/4

Answers

We can start by separating the x^3, and that means we have to multiply both sides by 4, resulting in x^3=27. Next, we can find the cube root of both sides ( as x is the cube root of x^3), getting x=3

Answer:

x=3

Step-by-step explanation:

If you multiply a number by 3 and then subtract 5 you will get 40 what is the number

Answers

15 x 3 = 45 - 5 = 40 
The number will be 15.
Hope this helped.

To find the answer the question first write it out. 3*x-5=40. move the five over next to the 40 and cancel out -5. so the new equation looks like this. Then add 40+5 which is 45.Lastly you have the number 3 and the variable x. now you have to divide 3 by 45 to get your final answer 15. so x=15.

                                                                            3*x=40+5

                                                                            3*x=45

Hope this helps!!

Although the actual amount varies by season and time of​ day, the average volume of water that flows over the falls each second is 5.25.2 times ×10 Superscript 5105 gallons. How much water flows over the falls in an​ hour? Write the result in scientific notation.​ (Hint: 1 hour equals 3600​ seconds)

Answers

The amount of water flowing each second is:

rate = 5.2 x 10^5 gallons / second

 

Since we know that:

1 hour = 3600 seconds

 

Therefore:

rate = (5.2 x 10^5 gallons / second) * (3600 seconds / hour)

rate = 1.872 x 10^9 gallons / hour

Final answer:

The average volume of water that flows over the falls in an hour is 1.89 x 10^9 gallons/hour.

Explanation:

To calculate the amount of water that flows over the falls in an hour, we need to convert the given flow rate from gallons per second to gallons per hour.

There are 3600 seconds in an hour, so we can multiply the flow rate (5.25 x 105 gallons per second) by 3600 to find the flow rate in gallons per hour.

The calculation would be: 5.25 x 105 gallons/s * 3600s/hour = 1.89 x 109 gallons/hour.

The result, in scientific notation, is 1.89 x 109 gallons/hour.

Sam and chad are ticket-sellers at their class play. sam is selling student tickets for $2.00 each, and chad selling adult tickets for $5.50 each. if their total income for 24 tickets was $83.00, how many tickets did sam sell?

Answers

15 adult tickets, or 41 children tickets. but combined it could be, 13 adults and 5 children tickets.

The number of tickets sold to students by Sam will be 14.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sam and Chad are ticket-sellers at their class play. Sam is selling student tickets for $2.00 each, and Chad selling adult tickets for $5.50 each. if their total income for 24 tickets was $83.00.

Let x be the number of tickets sold to students and y be the number of tickets sold to adults. Then the equation is given as,

x + y = 24               ...1

2x + 5.5y = 83       ...2

From equations 1 and 2, then we have

2(24 - y) + 5.5y = 83

48 - 2y + 5.5y = 83

3.5y = 35

y = 10

Then the value of x will be given as,

x + 10 = 24

x = 24 - 10

x = 14

The number of tickets sold to students by Sam will be 14.

More about the solution of the equation link is given below.

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Explain how to multiply the complex #'s (3+2i)(4-i)

Answers

Multiply the numbers like you multiply binomials.
Multiply every term of the first binomial by every term of the second binomial.
Then combine like terms, and remember that i^2 = -1.

(3 + 2i)(4 - i) =

= 12 - 3i + 8i - 2i^2

= 12 + 5i + 2

= 14 + 5i

Bens date of birth is a prime number between 15 and 25. This number has 57 as a multiple.

Answers

this number would be 19 because 19 is a prime number and 19*3 is 57, making 57 a multiple of 57
The prime factorization of 57 is 3 x 19. Since 19 is the only prime factor of 57 between 15 and 25, it must be 19.

A polynomial​ p(x) and a divisor​ d(x) are given. use long division to find the quotient​ q(x) and the remainder​ r(x). express​ p(x) in the form​ p(x) = ​d(x) times •​q(x)plus+​r(x).

Answers

x^2 - 5x + 23 __________________________________ x+10 /x^3 + 5x^2 -27x +230 x^3 + 10x^2 =========== -5x^2 -27x -5x^2 -50x ========== 23x + 230 23x + 230 ========= 0 this makes Q(x)=X^2-5X+23 and R(X)=0 makes P(X)=(X+10)*(X^2-5X+23)

Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:

Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.

Option B: Increase the amount of money they save each month by $80 from what they've been saving. Which of the following is a true statement?

a. Only option A will allow them to meet their goal.
b. Only option B will allow them to meet their goal.
c. Both options A and B will allow them to meet their goal.
d. Neither option A nor option B will allow them to meet their goal.

Answers

The answer i think it's a. Only option A will allow them to meet their goal.

Answer: D (Neither option A nor option B will allow them to meet their goal.

Hope this helps!

A bottle of soft drink is two thirds full. Jack drinks one quarter of the remaining soft drink. How full is the bottle now

Answers

Charli,

First find what 1/4 of 2/3 is.

1/4 of 2/3 = 1/6

(That is 1/4 times 2/3 = 1/6)

So, the bottle was 2/3 full, it is now ...

2/3 - 1/6

=4/6 - 1/6

= 3/6 or 1/2 full.

We know that the bottle of soft drink has a remaining volume which is 2 / 3 of the original.

Since Jack drank 1 / 4 of the remaining volume, hence only 3 / 4 now finally remains, the total is:

 

(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2

 

Hence the bottle is now one half full

Solve by quadratic formula

Answers

The quadratic formula is:

a = leading coefficient (highest power term)
b = term with just an x to the first power.
c = constant. 

Plug in and solve! :)

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−5).

A. 104
B. −246
C. 146
D. 250

Answers

Answer:

Option A is correct

The value of (h ∘ g)(−5) is, 104

Step-by-step explanation:

Given the functions:

g(x) = 2x

[tex]h(x) = x^2 + 4[/tex]

We have to find (h ∘ g)(−5).

[tex](h o g)(-5) = h(g(-5))[/tex]          ....[1]

At x = -5

g(-5) = 2(-5) = -10

then

Substitute the g(-5) in [1] we have;

[tex](h o g)(-5) = h(-10)[/tex]

⇒[tex](h o g)(-5) = (-10)^2+4 = 100+4 = 104[/tex]

⇒[tex](h o g)(-5) = 104[/tex]

therefore, the value of (h ∘ g)(−5) is, 104

Will Give BRAINLIEST) the distance around a rectangular parking lot is 1,200 meters. If the parking lot is 74 meters long, how wide is it?

Answers

The width would have to be 526
Hi there! The perimeter around a rectangular parking lot is 1,200 meters. The length of the parking lot is 74 meters, and 74 * 2 = 148. You include the combined length of both sides of the parking lot. 1,200 - 148 is 1,052. Now, to find the width of the parking lot, divide 1,052 by 2. 1,052/2 is 526. There. The parking lot is 526 meters wide.

find the sum. 12x2 + 9x2=

Answers

To calculate the sum of 12x² + 9x², add the coefficients (12 and 9) to get 21 and then multiply by x², resulting in a sum of 21x².

To find the sum of the expression 12x² + 9x², you simply add the like terms. Both terms have an x² component, so they can be combined.

Here's how you do it:

First, identify the coefficients of the x² terms, which are 12 and 9.

Next, add these two coefficients together: 12 + 9 = 21.

Finally, multiply the sum of the coefficients by x2 to get the final answer: 21x².

Therefore, the sum of 12x² + 9x² is 21x².

What is the median for this set of numbers?


10, 9, 23 , 68, 70, 4, 12, 4

Answers

First, change the order of the numbers do that they are from least to greatest.
4, 4, 9, 10, 12, 23, 68, 70
Then, find the "middle" number in this list. 
This case, there are two middle numbers: 10 and 12.
Take the average, or mean, of these two.
Your answer is 11.
Line up the numbers least to greatest.

4, 4, 9, 10, 12, 23, 68, 70

Cancel them out and you are left with 10 and 12.

Add 10 and 12 then divide by 2.

The median is 11.
I hope this helps love! :)

Point M is the midpoint of AB . AM= 3x+3, and AB=8x−6

What is the length of AM?


The answer is 21 but i don't know the steps to get it. HELP

Answers

AM= Half of AB

or, 3x+3=(8x-6)/2
or, 6x+6=8x-6
or, 2x=12
Therefore,x=6

so,AM=3*6+3=21
Answer:

The length of AM is:

                                21 units.

Step-by-step explanation:

Point M is the midpoint of AB.

AM= 3x+3, and AB=8x−6

Since, the midpoint divides the line segment into two equal parts i.e. it bisects the line segment.

Hence, we have:

                         AM+MB=AB

Also, AM=MB

Hence, we have:

     [tex]3x+3+3x+3=8x-6[/tex]

on combining the like terms in the left hand side of the equation we have:

[tex]3x+3x+3+3=8x-6\\\\6x+6=8x-6[/tex]

Now, on subtracting both side of the equation by 6x we have:

[tex]6=8x-6-6x\\\\6=8x-6x-6\\\\6=2x-6[/tex]

on adding 6 on both side of the equation we have:

[tex]6+6=2x\\\\12=2x\\\\2x=12\\\\x=\dfrac{12}{2}\\\\x=6[/tex]

Hence, we have:

[tex]AM=3\times 6+3\\\\AM=21\ \text{units}[/tex]

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