Which rule describes the composition of transformations that maps ABC to A"B"C"?
O T-6.-2°rx-axis(x, y)
O rx-axis° T-6 -2(x, )
O T-6.-2°Ro, 90°(x,y)
O RO, 90° T -6, -2(x, y)
Answers
Answer:
The rule describes the composition of transformations that maps Δ ABC to Δ A"B"C" is rx-axis, T(x - 6, y - 2) ⇒ B
Step-by-step explanation:
Let us revise some rules of transformation
If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)If The point (x, y) reflected across the y-axis, then its image is (-x, y), the rule of reflection is ry-axis (x, y) → (-x, y)If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)Look at the graph and list the vertice of each triangle
∵ A = (5, -5) and A' = (5, 5)
∵ B = (1, -2) and B' = (1, 2)
∵ C = (1, -5) and C' = (1, 5)
→ The signs of y-coordinates of all vertices of ΔABC are opposite
in ΔA'B'C'
∴ Δ ABC is reflected across the x-axis
∴ The rule is rx-axis (x, y) → (x, -y)
∵ A' = (5, 5) and A" = (-1, 3)
∵ -1 - 5 = -6 and 3 - 5 = -2
∵ B' = (1, 2) and B" = (-5, 0)
∵ -5 -1 = -6 and 0 - 2 = -2
∵ C' = (1, 5) and C" = (-5,3)
∵ -5 - 1 = -6 and 3 - 5 = -2
→ That means every x-coordinate in Δ A'B'C' added by -6 and every
y-coordinate add by -2
∴ Δ A'B'C' is translated 6 units to the left and 2 units down
∴ The rule is T (x, y) → (x - 6, y - 2)
The rule describes the composition of transformations that maps Δ ABC to Δ A"B"C" is rx-axis, T(x - 6, y - 2)
Transformation involves changing the position of a shape.
The transformation rule is (b) rx-axis° T-6 -2(x, y
First, triangle ABC is rotated across the x-axis.
The rule of this transformation is represented as: rx
Next, the resulting shape (i.e. triangle A'B'C') is translated 6 units left and 2 units down.
Using the coordinates of A as a guide, we have:
[tex]\mathbf{A = (5,-5)}[/tex]
Apply the first transformation: Rotate across the x-axis
[tex]\mathbf{A' = (5,5)}[/tex]
Apply the second transformation: Translate 6 units left, and 2 units down
[tex]\mathbf{A" = (5 - 6,5-2)}[/tex]
[tex]\mathbf{A" = (- 1,3)}[/tex]
Hence, the transformation rule is (b)
Read more about transformation at:
https://brainly.com/question/11707700
Related Questions
Please help meeeeeeeeeee
Answers
Answer:
-3, 25, 53
Step-by-step explanation:
f(x) = 4x + 9
f(-3) = 4(-3) + 9
f(-3) = -12 + 9
f(-3) = -3
f(4) = 4(4) + 9
f(4) = 16 + 9
f(4) = 25
f(11) = 4(11) + 9
f(11) = 44 + 9
f(11) = 53
Answer:
-3, 25, 53.
Step-by-step explanation:
With the equation 3z+3=2z+6
Answers
Answer:
z = -3
Step-by-step explanation:
Simplifying
3z + -3 = 2z + -6
Reorder the terms:
-3 + 3z = 2z + -6
Reorder the terms:
-3 + 3z = -6 + 2z
Solving
-3 + 3z = -6 + 2z
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-2z' to each side of the equation.
-3 + 3z + -2z = -6 + 2z + -2z
Combine like terms: 3z + -2z = 1z
-3 + 1z = -6 + 2z + -2z
Combine like terms: 2z + -2z = 0
-3 + 1z = -6 + 0
-3 + 1z = -6
Add '3' to each side of the equation.
-3 + 3 + 1z = -6 + 3
Combine like terms: -3 + 3 = 0
0 + 1z = -6 + 3
1z = -6 + 3
Combine like terms: -6 + 3 = -3
1z = -3
Divide each side by '1'.
z = -3
Simplifying
z = -3
Answer:
=3z+3=2z+6
=3z-2z=6-3
=z=3
hope you like the answer
please mark the answer as brainliest
if there are 10080 minutes in a week, how many seconds are in a month
Answers
You have $1.55 worth of dimes and nickels in a jar. There are 23 coins in the jar. How many dimes do you have? How many nickels do you have
Answers
i believe the answer is 35 dimes and 65 nickels (sorry if i’m wrong lol)
Alicia bought two slices of pizza and a bottle of juice for $4.95. The juice was $1.65. How much is one slice of pizza?
Answers
Subtract the price of the juice from the total then divide the remaining amount by 2:
4.95 - 1.65 = 3.30
3.30 /2 = 1.65 per slice.
tell me some irrational numbers
Answers
Answer:
square root of 2, pi, square root of 5, square root of 10, square root of 3, square root of 15
Step-by-step explanation:
Answer:
√8 √1.6 -√11 π √2/5
Step-by-step explanation:
After making a deposit,puja had $264 in her savings account.She noticed that if she noticed that if she added $26 to the amount originally in the account and doubled the sum,she would get the new amount.How much did she originally have in the account.
Answers
Answer:
Let the original deposit be
x
Add $26 to original deposit
→
x
+
26
And doubled the sum
→
2
(
x
+
26
)
You get the new amount
→
2
(
x
+
26
)
=
264
Multiplying out the bracket
2
x
+
52
=
264
Subtract 52 from both sides
2
x
=
264
−
52
2
x
=
212
Divide throughout by 2
x
=
106
So the original amount was $106.00
given g(x)=0.5x^2-5x+3.5, find g (4a)
Answers
Answer:
g(4a) = 8a^2 -20a +3.5
Step-by-step explanation:
Put 4a where x is and simplify.
g(x) = 0.5x^2 -5x +3.5
g(4a) = 0.5(4a)^2 -5(4a) +3.5
= 0.5(16a^2) -20a +3.5
g(4a) = 8a^2 -20a +3.5
substitute the length of the sides (8 in, 15 in m)
into the Pythagorean theorem. Then, find the length of the missing side m
(Please with step by step answer)
Answers
Answer:
17i in
Step-by-step explanation:
a² + b² = c²
8² + 15² = c²
64 + 225 = 289
c² = 289
c = [tex]\sqrt{289} \\[/tex]
c = 17
Which expression is equivalent to 2(a+3) when a=3?
O 2(3)
05(3)
O 2(3)+3
O 2(3)+6
Answers
Answer:
The answer is 2(3)+6
Step-by-step explanation:
The perenthesis means multiplication so you would first do 2 times three which is 6 and then 6+6=12 and the first expresion is 2(a+3) a=3 to solve that you would do whats in the perenthesis 3+3 which equals 6 and then the 6 in the perenthesis means mulitplication. so then you would do 2 times 6 and get 12. so the 3rd one is the answer.
Complete the two column proof.
Answers
Answer:
not sure about 2 and 5 but 4 is definition of congruency
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes?
Answers
Answer: 100
Step-by-step explanation:
20 - 2
x - 10
Cross multiply 20 * 10.
20 * 10 = 200
Then divide 200 by 2.
200 / 2 = 100
Help!! Willmark brainliest!Can you guys please answer these 2 questions???
Answers
Answer:
1. A, 2 meters per second
2. F, 15
A test is worth 50 points. Multiple-choice questions are worth 1 point, and
short-answer questions are worth 3 points. If the test has 20 questions, how
many multiple-choice questions are there?
A. m + s = 50
B. m + 2s = 20
C. m.s= 20
D. m + s = 20
Answers
Answer:
d) m + s = 20
m = 5
Step-by-step explanation:
m + 3s = 50
m + s = 20
m + 3(20-m) = 50
m + 60 - 3m = 50
60 - 2m = 50
60 = 50 + 2m
60 - 50 = 2m
10 = 2m
5 = m
Which of the methods can you use to solve −2/3 c=16
Answers
Answer: simplify
Step-by-step explanation:
Answer:
Divide each side by -2/3
Step-by-step explanation:
-2/3 is being multiplied by c. So we have to do the inverse of multiplication which is division.
Real quick question. need help plz
Answers
All figures with 4 sides have a total of 360 inside it.
I NEED HELP ASAP the cube shown below holds 64 cubic centimeters of water. label the dimensions of the cube.
Answers
So if it’s area use LengthxWidth so it would be 8x8=64.
If it’s volume use LengthxWidthxHeight which could Length=4 Width=2 Height =8 or a version of that
I hope that helped!!!
The dimension of cube is 4 cm
What is volume of cube?A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each [tex]vertex[/tex].
The formula of volume of the cube is given by: Volume = a3, where a is the length of its sides or edges.
Given:
volume of cube= 64 cm³
Now, Volume of cube = 64
a*a*a= 64
a³ = 64
a= ∛64
a=4 cm
hence, the edges of cube is 4 cm.
Learn more about volume of cube here:
https://brainly.com/question/11168779
#SPJ2
Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!
Answers
Answer:
c
Step-by-step explanation:
97 degrees. Any angle between 90 and 180 degrees is classified as obtuse
Answer:
If the angle right before cde is the actual mesuarment then your answer is 78 if thats not the measurment then your answer is 97
Step-by-step explanation:
A music store is receiving a shipment of Ipads. Each box comes with 12 white, 12 black and 24 grey
Ipads. They already have 23 white, 16 black and 22 grey Ipads. If the store is receiving 5 boxes, how
many of each color Ipad will they have?
Answers
Answer:
142 Grey, 83 white, 76 black
Step-by-step explanation:
If you were to take 5 boxes and put 24,12,12 in each, then multiply each number by 5 you wpuld get 120 Grey, 60 white and 76 black. Then you would add what they already have 120 Grey + 22 Grey is 142 grey, 60 white + 23 white is 83 white, and 60 black + 16 black is 76 black.
Quiz Simplifying expressions
Question 1: 3x + 7 - 5x + 9
Answers
Answer:
8x+161
Step-by-step explanation:
3x(-5x) = -2x
7+9= 16
put it together and you get -2x+16
If 5/x = 15/x+20, what is the value of x/5?
Answers
Answer:
c) 2
Step-by-step explanation:
here you can use cross multiplication. that's where you turn the fraction into an equation. ( there's videos about it, I'm not very good at explaining )
so you can turn
[tex]\frac{5}{x} = \frac{15}{x + 20}[/tex]
into
5(x + 20) = 15x
5x + 100 = 15x
subtract 5x from both sides
100 = 10x
x = 10.
the value of x/5 would be 2, since 10/5 is 2.
Since x/5 is the reciprocal of 5/x, we know that we can flip the fraction on the right hand side will be flipped.
Thus, x/5 = (x + 20)/15
Now we cross multiply, 15x = 5(x + 20)
Simplify: 15x = 5x + 100
Subtract 5x from each side: 10x = 100
Divide 10: x = 10
Now plug 10 back into the right hand side: (10 + 20)/15
So, the answer is 2.
Simplify:
3(8) ° . (3) -2
Answers
3 x -2 = -6
reply if you this was wrong or you needed a different answer pls >:(
Raphael takes 15 pages of notes during 6 hours of math class. Then, he takes 35 pages of notes during 14 hours of math class. How many pages of notes would Raphael expect to take during 3 hours of math class?
Answers
Answer:
7 and 1/2 or 15/2 (they are the same number just one is 15/2 is put into fraction form)
Step-by-step explanation:
Because 3 hours is half of 6 hours so 15x1/2=7 1/2 or 15/2
Hope this helps, pls consider giving a brainliest, aand have a good day
At 7 AM it is 20° F and the temperature is dropping at a rate of 4° F per hour. What will the temperature be at
11 AM?
Answers
Answer:
4 degrees farenheight
Step-by-step explanation:
Answer:
4 degrees
Step-by-step explanation:
7am to 11am is 4 hours.
So now multiply 4 hours*4* F = 16
So the temperature decreased 16 degrees.
20-16=4
It was 4 degrees at 11 am.
True or False? In reference to different sampling methods, systematic sampling includes the steps: list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list starting with the one that was randomly selected.
Answers
Answer:
True
Step-by-step explanation:
In the simple random sampling every individual in the population has an equal chance to be selected in the sample. Systematic sampling is a probability sampling in which selection of elements is made from order frame. These samples are selected based on intervals of the population.
2 x + 3 = x − 4 solve the equation
Answers
Answer:
- 7
Step-by-step explanation:
Step 1:
2x + 3 = x - 4 Equation
Step 2:
2x = x - 7 Subtract 3 on both sides
Answer:
x = - 7 Subtract x on both sides
Hope This Helps :)
OMG FREE BRAINLIESTOMGGGG!!!AHHH
Answers
Answer:
thank yoy so much for these free points, and I hope you have the best day because you deserve to have a really good day
Step-by-step explanation:
Please mark me as brainliest!
Answer:
awwww tyyy!! that was rlly kind of you!! :3 have a nice day <3 (also sorry if I'm too late XD)
Step-by-step explanation:
tyyy again!!
The difference of two positive numbers is 13. The larger number is nine less than twice the smaller number. Find
the numbers.
The numbers are
Answers
This is solution.
Click on the photo to view full solution.
HELP ME PLEADE I NEEDDDD HELPP
Answers
Step-by-step explanation:
I hope this helps, happy learning!!
Jennifer added the product 125 and 58 to the product of 357 and 42 what is the sum?
Answers
Answer:
22244
Step-by-step explanation:
(125*58)+(357*42)=22244
