Circle 1 is centered at (−4,−2) and has a radius of 3 centimeters. Circle 2 is centered at (5,3) and has a radius of 6 centimeters.
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 .
Answers
The circles are similar because you can translate Circle 1 using the transformation rule (9, 5) and then dilate it using a scale factor of 2.
To prove that Circle 1 and Circle 2 are similar, we need to identify the transformations that can be applied to Circle 1 to obtain Circle 2.
First, let's consider the translation of Circle 1. The translation rule is given by (a, b), where a represents the horizontal shift and b represents the vertical shift.
In this case, to translate Circle 1 to align with Circle 2, we need to shift it 9 units to the right and 5 units up. Therefore, the translation rule for Circle 1 is (9, 5).
Next, let's consider the dilation. A dilation is a transformation that changes the size of the figure but preserves its shape. The scale factor, denoted by k, determines the amount of scaling. In this case, Circle 1 needs to be dilated to match the size of Circle 2.
The scale factor can be determined by comparing the radii of the two circles. The radius of Circle 1 is 3 centimeters, while the radius of Circle 2 is 6 centimeters. The scale factor is obtained by dividing the radius of Circle 2 by the radius of Circle 1: 6/3 = 2.
Therefore, the transformation applied to Circle 1 to prove that the circles are similar is a translation by (9, 5) followed by a dilation with a scale factor of 2.
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Related Questions
PLEASE HELP! The AHS football team did a weigh-in at the start of training camp and the weights of the players were distributed normally. There were 60 players
at the start of camp. How many players are within one standard deviation of the mean?
Answers
Therefore:
60*0.68= 40.8
You should go with 40 players in this case to be conservative but if ur teacher says otherwise go with 41
The measure of an angle is 1°. Find the measure of the complement.
Answers
The measure of the complement of a 1-degree angle is 89 degrees.
The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.
Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:
1 degree + x degrees = 90 degrees.
To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:
x degrees = 90 degrees - 1 degree.
Simplifying the right side, we get:
x degrees = 89 degrees.
In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.
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Round each mixed number to the nearest whole number and then estimate the difference.
9 5/12- 3 4/5
Answers
9 5/12- 3 4/5
113/12-18/5
(113×5-18×12)/60
349/60
5 49/60
5x2x_=90
A-9 B-10. C-80. D-83
Answers
5x2=10
10x9=90
So the answer is A
HELP ASAP PLEASE!!!! SHOW WORK D = child’s dosage in milligrams a = age of the child M = adult dosage in milligrams The child weighs 55 lbs. Convert the child’s weight in pounds (lbs.) to kilograms (kg).
Answers
Answer:
24.95 kg
Step-by-step explanation:
one pound =0.45356 kg
55 lbs=55*45356 =24.95 kg
simplify 36ab divided by 40ab
Answers
Featured snippet from the web
What is 36/40 Simplified? - 9/10 is the simplified fraction for 36/40.
Fill in each blank so that the resulting statement is true.
If the x-intercepts of a function are 10 and 8, then f(10) =_
and f(8)=_
Answers
If the x-intercepts of a function are 10 and 8, then f(10) =0 and f(8) = 0; and The x-intercepts, 10 and 8, are called the zeros of the function.
What is termed as the zeros of a function?The zeros of a function are the values of the function's variables that result in the function equaling 0. The zeros of a function have been the points just on x-axis where the graph intersects the x-axis. To put it another way, the zeros of a function are indeed the x-intercepts of its graph. The degree of a polynomial function would be equal to the number of zeros in the function.We solve the equation f(x) = 0 for x to locate the zeros of a function f(x). To identify the roots of a function, we could indeed factorize it using various methods and then equate it to 0.For the given condition;
If the x-intercepts of a function are 10 and 8.
Then, for the value of 10 and 8 when substituted in the function it given the result zero.
Thus, f(10) =0 and f(8) = 0.
And, in this condition both the digits are called the zeros of the function.
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Answer please tysm bhdirisnjfkeksjbfbjsjsh
Answers
Answer:
9
Step-by-step explanation:
The answer is 9.
Why?
Because 11-5=6.
Meaning you need to get 6 with 2x/3.
If you need 6,
multiply 3 by 6.
3×6=18.
BUT...
Since it has 2x above the 3. You'll need a number times 2 that equals 18.
18÷2=9.
X=9
Need help with us question
Answers
PLEASE HELP ME ANSWERING THIS QUESTION!!
What is f(g(13))?
A. 16
B. 26
C. 32
D. The function is undefined.
A mapping diagram is shown.
Rules answering this question:
⇒ Please explain your answer!
⇒ Show your work!
⇒ Nonsense answer will be reported.
⇒ Incorrect answer will be reported and deleted.
⇒ Do not spam answers, if you do, it automatically reported and delete your answers!
⇒ The answer should be one option only.
Thank you!
Answers
\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)
As shown in the output of g when we want to input 13 is shown in the second figure.
\( \alpha = g(13 )= 16\)
Now we want to solve for f(g(13)),now that we know what g(13) is
\(f(g(13)) = f( \alpha ) = f(16) = 32\)
AnswerC 32Answer:
C=32
Step-by-step explanation:
This mapping is both one to one mapping and onto mapping
f(g(13))=f(ã)
since we know that g(13),we proceed to the codomain of g which is g(16)
That will be
f(16)=32
Assume the rate of inflation is 8% per year for the next 2 years. What will be the cost of goods 2 years from now, adjusted for inflation, if the goods cost $280.00 today?
Answers
==============================================
Work Shown:
F = future value
P = present value = 280
r = rate of inflation in decimal form = 0.08
t = elapsed time in years = 2
---------
F = P*(1+r)^t
F = 280*(1+0.08)^2
F = 326.592
F = 326.59
A piece of material measures 38 inches. Courtney cuts the piece of material into two pieces. One piece measures 19 inches. Write an addition equation that could be used to find the length, m, of the other piece of material.
Answers
Answer:
As a whole, the piece first measured 38 inches. No matter how many times you cut it, all of the pieces will still add up to 38 inches. You know that 19 inches is the length of one of the two pieces, so all you need to find is the other unknown piece. Add the two together, with m being the unknown length.
19+m=38
If you want to solve the equation, just subtract 19 from both sides.
19+m=38
m=19
Why people with different levels of income pay different amounts of taxes
Answers
Answer:
bc if you have more to give
Step-by-step explanation:
The graph of g(x) is the result of translating the graph of f(x) = (one-half) Superscript x three units to the left. What is the equation of g(x)?
Answers
Answer:
\(g(x) = 0.5^{(x+3)}\)
Step-by-step explanation:
Assuming f(x) = \(0.5^{x}\) is a correct interpretation of f(x),
the way to translate three units to the left is to change x to x+3. This gives our answer: \(g(x) = 0.5^{(x+3)}\)
Answer:
B. g(x) = (1/2)⁽ˣ⁺³⁾
Hope this helps!
Step-by-step explanation:
Which of the following is not one of the Greek roots explored in this unit?
a. sin
C syn
b psyche
d. neuron
Please select the best answer from the choices provided
Answers
Answer:
Its A >_<Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Christmas lights are produced in a large quantity and as a result one-fifth are faulty. If
individual lights are taken out one by one from this large quantity, find the probability
that when the first three lights are taken out
a there is one faulty light
b there are two faulty lights
c there is at least one faulty light.
Answers
The probability of there is one faulty light is 0.60%, There are two faulty lights is 0.12% and There is at least one faulty light is 0.60%.
What is probability?The likelihood that an event will occur is measured by probability. It is difficult to make a complete prediction for many events. By using it, we are only able to forecast the likelihood of an event, or how likely it is, to occur. Between 0 and 1, where 1 denotes a certain event and 0 denotes an impossibility, is the range of probability. For students in class 10, probability is a crucial subject because it clarifies all of the fundamental ideas. In a sample space, there is a probability of 1 for each event.
a. Let there be 100 lights, 1/5th are faulty = 20
There is one faulty in first three, P = 3/100 × 20/100
= 0.006
= 0.60%
b. There are two faulty lights, P = 3/100 × 20/100 × 20/100
= 0.0012
= 0.12%
c. There is at least one faulty light = 3/100 ×1/5
= 0.006
= 0.60%
Thus, The probability of there is one faulty light is 0.60%, There are two faulty lights is 0.12% and There is at least one faulty light is 0.60%.
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2k+8=0 Can someone help explain how to solves this please?
Answers
Answer:
2k + 8 = 0
2k + 8 - 8 = 0 - 8
2k = - 8
2k/2 = - 8/2
k = - 4
Step-by-step explanation:
you gotta put the 8 on the other side by subtracting and the divide both sides to get k
Answer:
k = -4
Step-by-step explanation:
2k + 8 = 0
Subtract 8 from both sides.
2k = -8
Divide both sides by 2.
k = -4
Answer asap and only if yk 100% its correct
Answers
Answer:
24
Step-by-step explanation:
If one of the side is 6 in and the shape is a square. All the sides most be 6 aswell. so it's 6x4
Pls brainlest ASAP and add extra points for correct answer
Answers
Answer:
glucose, sunlight and oxygen on the left (they go in the cell)
water and carbon dioxide on the right (they go out of the cell)
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
Answers
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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To make a newspaper with 60 pages you need 15 sheets of paper which are on top of each other. Then they are folded together. Page 7 is missing. Which other pages are missing in this newspaper?
Answers
Answer: here’s your answer
Step-by-step explanation:
pages are 60
sheet 15
on one sheet we get no of
pages=60/15=4
on one sheet we get 4 pages
they are stuck each other
so
let we consider
on1st sheet page no 1=60
2=59
so 7pageno. missing with also 8
(because attaching each other)
7=60-7
8=60-8
answer is 7,8,52,53pages are 60
sheet 15
on one sheet we get no of
pages=60/15=4
on one sheet we get 4 pages
they are stuck each other
so
let we consider
on1st sheet page no 1=60
2=59
so 7pageno. missing with also 8
(because attaching each other)
7=60-7
8=60-8
answer is 7,8,52,53
Help please confused
Answers
Answer:
Eat Kit Kat. They yummy
Step-by-step explanation:
Consider the box plot.
A+++ ++ +
+
1 2 3 4 5 6 7 8 9 10
Which could be the data set for this box plot?
O {1, 2, 3, 7, 9, 10}
o {1, 2, 4, 5, 8, 10}
o {1, 3, 4, 6, 8, 10}
• {1, 3, 6, 6, 9, 10
Answers
Answer:
D
Step-by-step explanation:
The box plot explains the right numbers in order
The correct option is (d) {1,3,6,6,9,10}
According to the box plot,
the median must be 6.the lower quartile must be 3.the upper quartile must be 9.the smallest value must be 1.and the largest value must be 10.Now looking at the data sets we can see that there are 6 values in each data set. So to satisfy all the conditions above regarding the given box plot, the correct option must be {1,3,6,6,9,10}.
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1. A Median...(look at the Geometry Reference Sheet to see what to put in blanks.)
• Originates
of the triangle at a
. Connects the
to the
of the
side
● Divides the side into two
Example of a median:
D
A
If AD is the median of A ABC,
then BD = CD.
Is not always contained
triangle and
Example of an Altitude:
A
--
B
If AD is the altitude of
A ABC, then mZ ADB-90°.
2. Solve for x.
2x + 1
Answer: x =
4. An Altitude... (look at the Geometry Reference Sheet to see what to put in blanks.)
• Originates
of the triangle at a
●
Connects the vertex to the line
●
parts.
3x - 31
(4x-6)*
of an obtuse triangle).
Answer: x =
5. Solve for x.
(you are working with degrees here!)
3. Solve for x.
10x + 9
6x + 21
Answer: x =
the opposite side at a
the triangle (some altitudes are legs of a
6. Solve for x.
(you are working with degrees here!)
pa
(5x + 2)
Answer: x =
angle
+53)*
Answers
Answer:
It looks like you are trying to solve some math problems and are looking for help filling in some information on a geometry reference sheet. Here are the answers to the questions you provided:
A Median:
Originates at the vertex of the triangle.
Connects the vertex to the midpoint of the opposite side.
Divides the side into two equal parts.
To solve for x in the equation 2x + 1 = 0, you can subtract 1 from both sides to get 2x = -1. Then divide both sides by 2 to get x = -1/2.
To solve for x in the equation 3x - 31 = 0, you can add 31 to both sides to get 3x = 31. Then divide both sides by 3 to get x = 31/3 = 10 1/3.
An Altitude:
Originates at the vertex of the triangle.
Connects the vertex to the line containing the opposite side.
Divides the opposite side into two equal parts.
To solve for x in the equation 10x + 9 = 6x + 21, you can subtract 6x from both sides to get 4x + 9 = 21. Then subtract 9 from both sides to get 4x = 12. Finally, divide both sides by 4 to get x = 3.
Without more context, it is not possible to solve for x in the equation (pa + 53)*(5x + 2) = 0. Please provide more information about the problem you are trying to solve.
Step-by-step explanation:
6th grade math! Help me please :))
Answers
Subtract 48-19=29 Correct me if I'm wrong.
That means it's 29 cups.
Answer:
29 cups
Step-by-step explanation:
step 1: since the liquid in the photo is shown to go up to between 18 and 20, it has to be 19 cups.
step 2: so she had 48 cups, right? and she used 19. so we have to subtract 19 from 48.
step 3: 48-19 = 29. she has 29 cups left..
i hope this helps!
10-9 x (-6) evaluate pls help!!!
Answers
Answer: 1: (16), 2: (8) & 3: (1/2)
Step-by-step explanation: multiple choice
Answer:
\(10−9(−6) \\ 10+54 \\ 10+54 \\ 54+10 \\ Factor \: by \: grouping \\ Factor \: by \: grouping \\ 10−9(−6) \\ 2(27+5) \: is \:the \: correct \: answer \\ gamsahaeyo\)
Jessica needs to rent a moving truck for one day. She can choose to rent a moving truck from Rentals Plus or from Speedy Move. At Rentals Plus, it costs $5.24 to rent a moving truck for one day, plus $4.46 per mile driven. At Speedy Move, it costs $85.24 to rent a moving truck for one day, plus $0.46 per mile driven. How many miles would Jessica have to drive for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move?
Answers
Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
How find how many miles would Jessica have to driveLet's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:
Cost at Rentals Plus = $5.24 + $4.46 * m
Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:
Cost at Speedy Move = $85.24 + $0.46 * m
To find the number of miles that makes the costs equal, we can set up the equation:
$5.24 + $4.46 * m = $85.24 + $0.46 * m
By rearranging the equation, we can solve for 'm':
$4.46 * m - $0.46 * m = $85.24 - $5.24
$4 * m = $80
m = $80 / $4
m = 20
Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
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Solve for the solution to a system of equations using the following matrices and Cramer’s rule. Show your work.
A= [2 1] X= [5 1] Y= [2 5]
[1 3] [5 3] [1 5]
Answers
An aquarium holds 11.35 cubic feet of water, and is 2.6 feet long and 1.1 feet wide. What is its depth? Round your answer to the nearest whole number.
The depth is
feet.
Answers
The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).
To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,
which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).
Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.
Substituting these values into the formula for volume,
we get:11.35 = 2.6 × 1.1 × h
Simplifying this expression:
11.35 = 2.86h
Dividing both sides by 2.6 × 1.1,
we get:h ≈ 3.64 feet (rounded to two decimal places)
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Question 2 of 15 Greece is different from most other countries in southern Europe because: A. its land has never been conquered by foreign empires. B. its most popular religion is not Catholicism. C. its culture has not spread to other regions. D. its population is mostly located in rural areas.
Answers
Greece is different from most other countries in southern Europe because its most popular religion is not Catholicism. Option B
What is Catholicism?Catholicism refers to the traditions, beliefs, and behaviors of the Catholic Church
Greece is predominantly an Orthodox Christian country, whereas most other countries in southern Europe, such as Italy, Spain, and Portugal, are predominantly Catholic.
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