The figure shows two triangles on the coordinate grid:


What set of transformations is performed on triangle ABC to form triangle A’B’C’

The Figure Shows Two Triangles On The Coordinate Grid: What Set Of Transformations Is Performed On Triangle

Answers

Answer 1

Its the third option :)

Answer 2

Answer:  the correct option is

(D) A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin.

Step-by-step explanation:  We are given two triangles ABC and A'B'C' on the co-ordinate grid.

We are given to select the set of transformations is performed on triangle ABC to form triangle A’B’C’.

From the graph, we note that

the co-ordinate of the vertices of triangle ABC are A(-4, -1), B(-3, -1) and C(-4, -4).

And, the co-ordinates of the vertices of triangle A'B'C' are A'(-1, 1), B'(-2, 1) and C'(-1, 4).

We know that if a point (x, y) is translated 5 units right, followed by a rotation of 180-degrees clockwise about the origin, then its new co-ordinates becomes

(x, y)   ⇒   (-x-5, -y).

So, after these two transformations, the co-ordinates of the vertices of triangle ABC will become

A(-4, -1)   ⇒   (4-5, 1) = (-1, 1),

B(-3, -1)   ⇒   (3-5, 1) = (-2, 1)

and

C(-4, -4)  ⇒  (4-5, 4) = (-1, 4).

The new co-ordinates are the co-ordinates of the vertices of triangle A'B'C'.

Thus, the required set transformations is

A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin.

Thus, option (D) is CORRECT.


Related Questions


Please help.

The wait time to ride a roller coaster is 20 minutes when 160 people are in line. At this rate, how long is the wait time when 220 people are in line? (Write answer to the tenths place)

Answers

Answer :

27.5 minutes

Steps:

1) put into fraction form:

160/20 = 220/x

2) simplify:

160/20 = 8/1

3) cross multiply:

8 • x = 8x

220 • 1 = 220

4) divide on both sides:

8/8 = crosses out

220/8 = 27.5

Answer:

Not sure if this is the one you are looking for but

Which statement about the maximum wait time is correct?

The maximum wait time cannot be determined, but it is between 150 and 160 minutes.

The maximum wait time cannot be determined, but it is between 200 and 210 minutes.

The maximum wait time is 170 minutes.

The maximum wait time is 210 minutes.

B is the right answer

Step-by-step explanation:

edgy

{-3 - y = -12
{ x - 3y = 14

Answers

Answer:

y = 15

x = 59

Step-by-step explanation:

move the -3 over to the -12 side. then divide by -1 on both sides getting:

{ y = 15

{ x- 3y = 14

change the y in the second equation to get:

x - 3 (15) = 14

x - 45 = 14

  +45 = +45

x = 59

hope this helps!!

The equation of a circle with center (5,-3) and radius of 9

Answers

Answer:

[tex]\large\boxed{x^2+y^2-10x+6y-47=0}[/tex]

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have the center (5, -3) and the radius r = 9.

Substitute:

[tex](x-5)^2+(y-(-3))^2=9^2\\\\(x-5)^2+(y+3)^2=81[/tex]

Use

[tex](a\pm b)^2=a^2\pm2ab+b^2[/tex]

[tex]x^2-2(x)(5)+5^2+y^2+2(y)(3)+3^2=81\\\\x^2-10x+25+y^2+6y+9=81\\\\x^2+y^2-10x+6y+(25+9)=81\\\\x^2+y^2-10x+6y+34=81\qquad\text{subtract 81 from both sides}\\\\x^2+y^2-10x+6y-47=0[/tex]

Choose the correct correspondence
O <->
Options
1.D
2.O
3.K

Answers

Answer:

O

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Here Angle O is equal to Angle O as they are vertical angles across a vertex.

Answer:

The correct option is 2.

Step-by-step explanation:

From the given figure it is clear that the lines DE║RK, in triangle ODE and triangle OKR,

[tex]\angle DOE=\angle KOR[/tex]                         (Vertical opposite angles)

[tex]\angle ODE=\angle OKR[/tex]                         (Alternate interior angles)

[tex]\angle OED=\angle ORK[/tex]                         (Alternate interior angles)

By using AA property of similarity,

[tex]\triangle DOE\sim \triangle KOR[/tex]

D is correspondence to K, O is correspondence to O, E is correspondence to R.

O ↔ O

Therefore the correct option is 2.

9. Find the point from Y to X that is 3/4 of YX.

A. (2, -4)
B. (-6, -2)
c. (-6, -4)
D. (2, -2)

Answers

Uhhh what are the coordinates of points X and Y? Please write in the comments so that I can help you.

Answer:

(2,-4)

Step-by-step explanation:

Use a variation of the midpoint formula : x = 1/4x1+3/4x2.

Also use this formula for the y coordinates as well.

For the x coordinate, you should get -5/2+9/2 which is 2.

For the y coordinate, you should get -1/4-15/4 which is -4.

Hope this helps.

I WILL AWARD BRAINLIEST!!! PLEASE HELP!!
1) Rewrite the expression without using absolute value |2x−8| , if x<4

Answers

Answer:

8 - 2x

Step-by-step explanation:

|2x -8| , x < 4

Two conditions:

(a) |2x - 8| =   (2x - 8) if (2x - 8) ≥ 0

(b) |2x - 8| = -(2x - 8) if (2x - 8) < 0

If x < 4, (2x - 8) <0, so condition (b) applies.

|2x - 8| = -(2x - 8) or

|2x - 8| = 8 - 2x

The equivalent expression is 8 - 2x.

Find the totals of the two animals people owned most. What is the sum of these two categories?
A) 17
B) 18
C) 19
D) 20

Answers

The answer is 19, C, because the 2 biggest are cat & dog, the dog is 8 and the cat is 11, 11+8=19.

Determine is the numbers are parallel, perpendicular or neither. Will mark brainest!
y=x+12
y=-x+4

Answers

Answer:

Perpendicular

Step-by-step explanation:

One solution of the equation x2 + 5x + 4 is -4. What is the other solution?​

Answers

Answer:

x = -1

Step-by-step explanation:

[tex]x^2+5x+4=0\\\\x^2+x+4x+4=0\\\\x(x+1)+4(x+1)=0\\\\(x+1)(x+4)=0\iff x+1=0\ \vee\ x+4=0\\\\x=-1\ \vee\ x=-4[/tex]

Answer:

-1

Step-by-step explanation:

Find the limit of the function by using direct substitution.
limit as x approaches zero of quantity x squared minus one.

Answers

ANSWER

[tex]lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]

EXPLANATION

The given limit is

[tex] lim_{x \to \: 0}( {x}^{2} - 1) [/tex]

To evaluate this limit by direct substitution,

We put x=0 in the function.

This implies that that ,

[tex] lim_{x \to \: 0}( {x}^{2} - 1) = {0}^{2} - 1[/tex]

This simplifies to,

[tex] lim_{x \to \: 0}( {x}^{2} - 1) = 0 - 1[/tex]

[tex] lim_{x \to \: 0}( {x}^{2} - 1) = - 1[/tex]

This means that as x-values approach zero, the function approaches -1.

Answer:

-1

Step-by-step explanation:

For direct substitution, all you have to do is fill in the limit for x and solve... so the limit would be 0 in this case.

x^2-1

0^2-1

-1

Which gives the missing value in 2/5/=x/30

Answers

Answer:

x=12!

Step-by-step explanation:

Answer:

X=12

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] = [tex]\frac{x}{30}[/tex]

cross multiply:

30 x 2 = 60

5 x x = 5x

and you get:

60=5x

x=12

plz give brainliestttt

Fourteen students bought their art teacher a new easel for $129 and a set of blank canvases for $46. Sales tax was $10.50. They shared the cost equally. Write an expression to show how you could calculate the amount each student paid​

Answers

129+46+10.5=185.5

185.5/14=$13.25 each

Total cost+tax/number of students= amount paid per student

Line m is parallel to the y-axis, and its slope is _____.



positive
negative
undefined
0

Answers

The answer is Undefined

Answer:

undefined

Step-by-step explanation:

The y-axis is a vertical line.

The point [tex](0,y_1)[/tex] and[tex](0,y_2)[/tex] lies on the y-axis.

The slope of this line is

[tex]=\frac{y_2-y_1}{0-0}[/tex]

[tex]=\frac{y_2-y_1}{0}[/tex]

Division by zero is undefined.

All vertical lines have undefined slopes because they are parallel to the y-axis.

Therefore the slope of m is undefined.

In Mrs. Floyd's kindergarten class, children make handprints in a round clay mold for their parents. The mold has a radius of 2 inches. What is the mold's area? Use 3.14 for ​.

Answers

Answer:

A= 12.56

Step-by-step explanation:

A= 3.14 x r^2

A= 3.14 x 2^2

PLZ HELP! Need this DESPERATELY! Worth 15 points and will mark Brainliest! Thx so much :)

Answers

Answer:

Part 1) [tex]a^{b+2}=(x)(a^{2})[/tex]

Part 2) [tex]2a^{3b}+a^{2b}+a^{b}=2x^{3}+x^{2}+x[/tex]

Step-by-step explanation:

Part 1) Given that [tex]a^{b}=x[/tex] evaluate the following

[tex]a^{b+2}[/tex]

we know that

[tex]a^{b+2}=(a^{b})(a^{2})[/tex]

Remember that when multiplying two powers that have the same base, you can add the exponents

[tex]a^{b}=x[/tex]

so

substitute

[tex]a^{b+2}=(x)(a^{2})[/tex]

Part 2) Given that [tex]a^{b}=x[/tex] evaluate the following

[tex]2a^{3b}+a^{2b}+a^{b}[/tex]

we know that

[tex]2a^{3b}+a^{2b}+a^{b}=2(a^{b})^{3}+(a^{b})^{2}+a^{b}[/tex]

Remember that

[tex]a^{b}=x[/tex]

so

substitute

[tex]2a^{3b}+a^{2b}+a^{b}=2x^{3}+x^{2}+x[/tex]

Hassan bought 2 video games for $5 and 3 video games for $7.50. Write and solve an equation to find the cost of 15 video games.

Answers

Answer:

hi how are u

Step-by-step explanation:

What’s 5.5454 rounded to 2 decimal place

Answers

Answer:

The answer is 5.55

Step-by-step explanation:

Final answer:

To round 5.5454 to 2 decimal places, you look at the third and fourth decimal places. Since the digit in the fourth decimal place is 5 or greater, you round up the digit in the third decimal place, resulting in 5.55.

Explanation:

To round 5.5454 to 2 decimal places, we look at the digit in the third decimal place (5) and the digit in the fourth decimal place (4). Since the digit in the fourth decimal place is 5 or greater, we round up the digit in the third decimal place.

The rounded value will be 5.55.

Therefore, 5.5454 rounded to 2 decimal places is 5.55.

Learn more about Rounding here:

https://brainly.com/question/34045884

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help plz( If the shell of a bass drum was cut down one side and laid flat, which expression would give the area, A, of the shell with the measurements shown? )

Answers

Answer:

Last option: [tex]A=2\pi rh[/tex]

Step-by-step explanation:

 If  the shell of a bass drum was cut down one side and laid flat, the resulting shape would be a rectangle.

The area of a rectangle can be calculated with the formula:

[tex]A=l*w[/tex]

Where l is the lenght and w is the width.

In this case, the lenght of the rectangle obtained (the lenght of the shell)  is the circumference of the drum.

Remember that the circumference of the circle can be calculated with:

[tex]C=2\pi r[/tex]

Where r is the radius of the circle.

Then:

[tex]l=2\pi r[/tex]

The width is the height of the shell:

[tex]w=h[/tex]

Then, substituting into [tex]A=l*w[/tex], you get:

[tex]A=2\pi rh[/tex]

WILL GIVE BRAINLIEST!!!

Answers

The number of angles that are alternate exterior angles with angle 5 is equal to 1.

What are parallel lines?

In Mathematics,  parallel lines are two lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.

What is the alternate exterior angle theorem?

In Mathematics, the alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.

In conclusion, we can logically deduce that both m∠5 and m∠11 are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.

Read more on alternate exterior angle here: brainly.com/question/26111088

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The -----is the number or numbers that occur most often in a set.

Answers

The answer is: mode

Mode can easily be remembered by saying “most” most=mode

Simplify 4+(-3)-2x(-6)

Answers

Answer:

1+12x

Step-by-step explanation:

First remove the parentheses

4-3-2x✖️(-6)

two negatives make a positive so multiply them

4-3+2x✖️6

Now calculate the product

4-3+12x

Subtract 4-3

1+12x

Then you are left with your answer:

1+12x

Hope this helps! :3

Meghan counted the candies she had in a jar. She discovered that half of the candies were red. If she had 50 red candies, in which equation does x represent the total number candies in the jar?

Answers

50x2=x

50 represents the red candies.

2 represents the other half of candies.

x represents the total amount of candies.

Hope this helps!

The equation representing the total number of candies in Meghan's jar, where x is the total, is x/2 = 50, giving us 100 candies in total. For Jenny's chocolates, Jenny initially had 14 chocolates before she ate two and gave half of the remaining to Lisa.

If Meghan discovered that half of the candies were red and she had 50 red candies, then to find the equation representing the total number of candies in the jar, we assign x to represent the total number. Since half of x is 50, the equation is x/2 = 50. To find x, we multiply both sides of the equation by 2, resulting in x = 100. Therefore, Meghan has 100 candies in total in her jar.

To address the question about Jenny and her chocolates: Initially, Jenny has some number of chocolates. When she eats two chocolates and gives half of the remainder to Lisa, and Lisa ends up with six chocolates, we can determine how many Jenny started with. Lisa's six chocolates represent half of what remained after Jenny ate two, which implies there were 12 before giving to Lisa, and so initially, Jenny had 14 chocolates.

Which of the following values have 3 significant figures ? 85.3,36.05,50,121

Answers

Answer:

Step-by-step explanation:

The following have 3 significant figures:  85.3, 121.

The following have more or fewer significant figures than 3:  36.05, 50

Sonji paid $25.00 for two scarves, which were different prices. When she got home she could not find the receipt. She
remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

Answers

Let the less expensive scarf be x

expensive scarf = $3 + x

According To The Question,

x+x+$3=$25

2x+$3=25

2x=22

x=$11

expensive scarf = x + $3 = $11 + $3 = $14

HOPE THIS WILL HELP YOU

Answer:

$14

Step-by-step explanation:

Sony paid for two scarves = $ 25

We are given that one scarf cost $3 more than the other

Let the cost of one scarf be x

So, cost of another scarf = x+3

Since the total cost is $25

So, [tex]x+x+3=25[/tex]

[tex]2x+3=25[/tex]

[tex]2x=22[/tex]

[tex]x=\frac{22}{2}[/tex]

[tex]x=11[/tex]

So, cost of one scarf = $11

Cost of another scarf = x+3=11+3=14

Hence the cost of the expensive scarf is $14

Algebra nation section 2

Answers

Algebra Nation is an online educational platform that provides comprehensive resources and tutorials for learning algebra. Section 2 of Algebra Nation likely covers specific algebraic topics or concepts, such as equations, functions, expressions, or algebraic operations.

In this section, students may explore various algebraic principles and problem-solving techniques. Algebra Nation aims to make algebra more accessible and understandable for students, offering instructional videos, practice exercises, and opportunities for students to engage with algebraic concepts.

It's designed to support both teachers and students in their algebra education, fostering a deeper understanding of this critical branch of mathematics and helping students build a strong foundation for future mathematical endeavors.

Learn more about Algebra nation:

https://brainly.com/question/15798607

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This question is not complete, Here I am attaching the complete question:

What key concepts or topics are covered in Algebra Nation Section 2, and how do these concepts relate to solving algebraic equations?

36÷(6÷3) plz helppppooooop​

Answers

Answer:

18

Step-by-step explanation:

Divide with by paratheses first. Use PEMDAS method

Answer:

36÷(6÷3) = 18

Step-by-step explanation:

First, you would solve what is in the parentheses.

36÷(6÷3) = 36÷(2)           Now, find 36÷2

               = 36÷2 = 18

so, 36÷(6÷3) = 18

An equation that you could write for “seven less than twice a number is negative five” could include 7-5n=-5

True or False?

Answers

Answer:

it is true

Step-by-step explanation:

Move all terms not containing  

n

to the right side of the equation.

Tap for more steps...

5n= -12

Divide each term by  

-5

and simplify.

Tap for more steps...

n=12 5

The result can be shown in multiple forms.

Exact Form:

n=12 5

Decimal Form:

n=2.4

Mixed Number Form:

n=225

False. Correct equation: [tex]\(2n - 7 = -5\)[/tex]. Your proposed equation [tex]\(7 - 5n = -5\)[/tex] does not accurately represent the relationship.

The answer is False.

Here's why:

1. The statement "seven less than twice a number" can be represented as [tex]\( 2n - 7 \)[/tex], where [tex]\( n \)[/tex] is the number.

2. The equation for "seven less than twice a number is negative five" should be [tex]\( 2n - 7 = -5 \)[/tex], as the phrase "is negative five" translates to the equation being equal to [tex]\( -5 \)[/tex].

3. Your proposed equation, [tex]\( 7 - 5n = -5 \)[/tex], is incorrect because it represents a different relationship. It suggests that [tex]\( 7 \)[/tex] subtracted by [tex]\( 5n \)[/tex] is equal to [tex]\( -5 \)[/tex], which does not align with the given statement.

4. To correct the equation, simply rewrite it as [tex]\( 2n - 7 = -5 \)[/tex], which accurately represents the relationship described in the statement.

Therefore, the statement is false because the given equation does not correctly represent the phrase "seven less than twice a number is negative five."

john is planning to purchase a new car that cost 15500. on average a new car loses 11% of its value to the moment that is driving out of the lot. once john drives his new car off the lot, what will its value be

Answers

Answer: $13795

Step-by-step explanation: .89 x 15500

input the equation of the given line in slope-intercept form. the line with m=2 and b=-4

Answers

Answer:

y = 2x - 4

Step-by-step explanation:

The slope-intercept form:

y = mx + b

We have m = 2 and b = -4. Substitute:

y = 2x - 4

what is 2x squared plus x squared

Answers

The answer is 3x²

It’s actually pretty easy. If you have to like terms (in this case, they both have x²) then you just add the number in the front, or the coefficients! If it doesn’t have a number at the front ALWAYS assume it’s one.

2+1=3

2x²+(1)x²=3x²

The value of 2x² plus x² is; 3x².

Addition of polynomials

According to the question;

The polynomial to be added are;

2x² and x².

Hence;

2x² + x² = 3x².

Read more on polynomial addition;

https://brainly.com/question/4420925

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An example of dependent events is drawing a blue marble out of one jar and then drawing ablue marble out of the another jar.red marble out of the same jar, after replacing the first marble.red marble out of the same jar, without replacing the first marble.red marble out of another jar. Assignment - Prueba 1 San Juan y sus alrededoresEscoge la frase que significa "He bought an old house.El compro una vieja casa,El compro una casa vieja.El comprara una casa vieja 2. What is wrong with the argument in the passage below?New York City's stop-and-frisk policy should be retained because it has been extremely useful in fighting crime. Under this policy, police can stop a person and frisk him or her if they merely suspect the person might have been involved in a crime. Since the policy was instituted, the crime rate has fallen precipitouslyaccording to the official New York Police Department crime statistics, the overall drop is more than 80 percent.It misuses a statistic to overstate the amount of crime committed in New York City.It assumes that because one person commits a crime, others will do so as well.It uses an incorrect appeal to the New York Police Department as an authority.It assumes that the police policy was the cause of the drop in crime.To explain a process3. The following excerpt is from an argument project. Choose the sentence that expresses a debatable claim.Because whole grains are an essential part of a healthy diet, we should eat them. Things have changed since the 1990s. Back then, people were warned to avoid "carbs" if they wanted to maintain a healthy weight. Today, most nutritionists believe that whole, unrefined grains are one of the keys to a balanced and healthy diet.Things have changed since the 1990s. Back then, people were warned to avoid "carbs" if they wanted to maintain a healthy weight. Because whole grains are an essential part of a healthy diet, we should eat them. 4. Which of the following statements is an example of expert testimony used as evidence?In the United States, there are approximately 500,000 miles of long-distance pipelines.On the face of things, it would seem as if pipeline transmission would be quite dangerous, simply because there are so many pipelines.According to the Manhattan Institute for Policy Research, pipelines are undoubtedly the safest way to transport petroleum products.A massive derailment in North Dakota ignited the train's contents and sent a fireball 100 feet into the air.5. Which of the following is an appropriate claim for a brief argument project?Training a dog is often necessary; after all, owners want dogs with which they can pleasantly share a house, a car, or a walk.Collars that deliver electrical shocks to the neck of a dog are a cruel and unnecessary form of training; therefore, they should be banned for use by the general public.Aversive training techniques can cause damage to dogs, and there are many alternatives to this type of training.Rewards and punishment can be used to train dogs, and both have positive and negative aspects. Steam Workshop Downloader