The statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.
Since the triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. These are transformations which include
Reflections - Which are transformations which change the coordinates of an object without affecting its dimensions.Dilations - Which are transformations which change the size of the object and thus its coordinates.The operations performed on the triangle are the following
A reflection across the y-axis changes the coordinates of the triangle from (x, y) to (-x, y) without changing the side lengths and angles.The dilation of the triangle by a factor an then centered at the origin increases the side length of the triangle but the angles in the triangle remain the same since the ratio of the sides before and after dilation are the same.So, the reflection would preserve the side lengths and angles, but the dilation would only preserve the angles.
So, the statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.
Learn more about transformations here:
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Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent. [The percent decrease is___%
Answer:
62.5 %
Step-by-step explanation:
you have to subtract 32-12, which equals 20
then divide 20 by the original amount (20/32)
20/32= .625, then you have to multiply to get the final answer...hope this helped!
Lila planted a tree in her backyard. She made a graph to show the tree growth over 5 years.
1) What does the slope mean in real life in the context of the problem?
2) What does the y-intercept mean in real life in the context of the problem?
Answer in complete sentences.
Answer:
1. Growth rate of tree 3 ft per year, 2. Beginning height of tree 5 feet, rise/run = 3/1 = 3
Step-by-step explanation:
The solution is
1) The slope of the graph m = 3 represents the growth of the tree per year
2) The y-intercept means the initial height of the tree , when x = 0
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 3 , 14 )
Let the second point be Q = Q ( 1 , 8 )
Now , the slope of the two points on the line is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 14 - 8 ) / ( 3 - 1 )
Slope m = 6/2
Slope m = 3
Therefore , the slope is 3 feet per year
b)
The y intercept is calculated from the equation of line , when x = 0
So , the equation of line is given as
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 14 = 3 ( x - 3 )
On simplifying the equation , we get
y - 14 = 3x - 9
Adding 14 on both sides of the equation , we get
y = 3x + 5
Now , when x = 0
y = 3 ( 0 ) + 5
y = 5 feet
From the graph we can see that , at 0 years the initial height of the tree is also 5 feet
Therefore , the y intercept is 5 feet
Hence , The slope of the equation is 3 and y intercept is 5
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In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and g (x) = x-5/2 to determine if f(x) and g(x) are inverse of each other.
Answer:
In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and to determine if f(x) and g(x) are inverses of each other?
It is very difficult to know because you did not include the function g(x), you only gave us f(x).
Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.
f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list
f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list
f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list
So even though you didn’t list g(x), g(x) = (x/2) - 5/2
The point (-1, 5) is reflected over the y-axis. Where is the location of the new image?
(-1, -5)
(5, 1)
(1, 5)
(1, -5)
A= (4,-1)
B= (0,-5)
which one is right ,two answer choices.
Answer:
A
Step-by-step explanation:
what is the solution to this equation 4x -6 + 2x =18
Answer:
x=12
Step-by-step explanation:
4x-6+2x=18
2x-6=18
2x=24
x=12
Plz help fast I will mark Brainlyist
Answer:
-4 -2 1 the top are 2/6 -2/8
Step-by-step explanation:
I don't know if that's right but yea hope that helps
Help!! NO SPAM!!!! I will mark brainliest. A phone banking password consists of 2 letters followed by 4 digits. The letters B and X are not used, and the last digit cannot be 0. How many different passwords are possible?
In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:
5184000 possible ways
in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:
[tex]24*24*10*10*10*9=5184000[/tex]
See more about possibilites at brainly.com/question/488013
please help ASAP! What is the area of this figure?
Answer:
The answer is 75ft. Hope this helps.
Find the 82nd term of the arithmetic sequence —8, 9, 26, ...
A water cooler holds 1536 ounces of water each water bottle holds 16 ounces how many water bottles can be filled from the water cooler
Answer:
96 water bottles
Step-by-step explanation:
1536/16 = 96
The diameter of a circle is 3 miles what is the area
Answer:
[tex]2.25\pi[/tex] or [tex]7.07 mi^{2}[/tex]
Step-by-step explanation:
The formula for the area of a circle is:
[tex]\pi r^{2}=A[/tex]
Radius is half of the diameter of a circle so you will get this:
[tex]\pi (\frac{3}{2}) ^{2}\\\\\pi (1.5)^2\\\\2.25\pi \\\\7.07[/tex]
5m - 2 represents the statement two less than five times a number
Answer:
yes
Step-by-step explanation:
A cylinder has a height of 7 centimeters and a diameter of 4 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
V = 87.92 cubic cm
Step-by-step explanation:
V(cyl) = πr²h
V = 3.14(2²)(7)
V = 87.92
can someone please help me with this?!
Please help! IXL math problem
Answer:
224, 755
Step-by-step explanation:
you first have to find the differnce between 177 and 47 which equals to 133.
so you have to do 94+133
and 885-133
PLs help me 15 points on total
Answer:
i think its C
Step-by-step explanation:
please help me with this as soon as possible
Answer:
the answer is i dont know XD
Step-by-step explanation:
A set of 3 consecutive integers has a sum of 15. Which integers are they?
The answer is 4+5+6=15.Hope that helps. :)
Answer:
Step-by-step explanation:
Let the first number be x,
The second number (since it is consecutive) will be = x + 1
The third number (since it is right after the second) = (x+1) + 1 = x + 2
x + x + 1 + x + 2 = 15
3x + 3 = 15
3x = 15 - 3
3x = 12
x = 12/3 = 4
If the first number = 4,
Second number will be = 5 [(x+1) = 4+1]
Third number will be = 6 [(x+2) = 4 + 2]
X
18. MODELING WITH MATHEMATICS The inequality
3x + 2y 2 93 represents the numbers x of multiple-
choice questions and the numbers y of matching
questions you can answer correctly to receive an A on
a test. You answer 20 multiple-choice questions and
18 matching questions correctly. Do you receive an A
on the test? Explain.
Answer:
yes
Step-by-step explanation:
Put the numbers into the inequality and see if it is true.
Given x = 20, y = 18, ...
3x + 2y = 3(20) +2(18) = 60 +36 = 96 ≥ 93 . . . . true
You have met the requirements for an A on the test.
Please help me with this
Can i get some help :
Answer:
is not equal to sign is used
in baseball the home plate is shaped like the one shown it has three right angles and two other congruent angles A and B find measurement of angle a and measurement of angle B
Answer:
135
Step-by-step explanation:
the triangle is 90-45-45
the square is 90-90-90-90
where the two meet just add 45 + 90
135
Select the correct answer.
Simplify the following expression.
Your bank account starts with $1550 and every month $50 is automatically deducted for the cable bill. You want to know how long, x, it would take your account to drop below $0. How many months would it take for your account to drop BELOW $0?
Step-by-step explanation:
C(x) = 1550 - 50x
With C(x) the cash you have every month (x).
Now we solve:
1550 - 50x < 0
So it becomes:
50x > 1550
x > 31
The 32nd month you'll be broke.
pls help me with math asap pls no links thx
Answer:
8
Step-by-step explanation:
Divide 192 by 24 and you'll get 8 classes per grade as the answer
Answer:
8 classes
Step-by-step explanation:
To find the minimum amount of classes, you divide 192 by 24 and you get 8 classes.
please answer, click on file, thank you
Answer:
3x²
im lazy to solve right now
hope it helps
Answer:
Step-by-step explanation:
half of the circle is 180 degrees
so x + 3x = 180
4x = 180
x = 45
The base of a triangular field is three times its height. If the cost of cultivating the feild at $36 per hectare is $486, find its base and height.
Please explain also
Answer:
Formula of the area of triangle = 1/2 × b × h (where 'b' is the base and 'h' is the height)
1 hectare = $36
$486 = 13.5 hectares
13.5 hectares = 1/2 × b × h
To get b × h, you use the reverse of the formula. Hence:
13.5 = 1/2 × b × h
13.5 ÷ 1/2 = b × h
= 27
27 is b × h.
The question states that the base is three times the height. Hence:
b = 3u
h = 1u
b × h = 27
= 3u × 1u
Thus, we need to find one value which is three times the other, in order to get a product of 27.
Factors of 27:
1 × 27
3 × 9
9 is three times of 3. Thus, the base is 9, while the height is 3.
find the ratio of : 800 ml to 4.8 litres
Answer:
The ratio is [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
We have
[tex]\frac{800mL}{4.8L} \\\\\frac{0.8L}{4.8L}\\\\\frac{1}{6}[/tex]
A motorcycle can run 108km in 2h20mn Find the average speed
Answer:
do it got a picture
on the edge2020
Step-by-step explanation: