Line segment AB is shown on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3. The line segment is rotated 270 degrees counterclockwise about the origin to form A′B′. Which statement describes A′B′? (5 points) A′B′ is parallel to AB. A′B′ is half the length of AB. A′B′ and AB are equal in length. A′B′ is greater than twice the length of AB.

Answers

Answer 1

Answer:

A′B′ and AB are equal in length.

Step-by-step explanation:

Given that the location of the points are at A(1, 3) and B(5, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.

If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)

[tex]AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,[/tex]


Related Questions

you are planning a party for 12 people and you purchase 4 bags of candy.If you have a party for 21 people,how many bags of candy should you purchase

Answers

Answer:

7

Step-by-step explanation:

one bag of candy for every three people

12 ÷ 4 = 3

21 ÷ 7 = 3

Answer:

7  

Step-by-step explanation:

Apply proportions:

People/bag of candy

[tex]\frac{12}{4}[/tex]

For 21 people

[tex]\frac{21}{x}[/tex]

Equal both expressions

[tex]\frac{12}{4} =\frac{21}{x}[/tex]

Solve for x:

[tex]x=21\frac{12}{4} \\x= \frac{21}{3} \\x=7[/tex]

You should purchase 7 bags of candy

Is the relation a function?{(1,5),(1,7),(3,9),(4,11)}

Answers

Answer: No

Step-by-step explanation: Multiple Y values come from the same X value, which means its not a function.

Answer:

No

Step-by-step explanation:

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.

gimme a really hard riddle if you dont do a good one i will prolly delete your question no actually gimme two riddles this is for a lot of points lol

Answers

Answer:

I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?

also

You measure my life in hours and I serve you by expiring. I’m quick when I’m thin and slow when I’m fat. The wind is my enemy.

Step-by-step explanation:

riddle

I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?

What disappears as soon as you say its name?

answer scroll down

an echo

silence

Find the measure of the missing angle
m<1=​

Answers

Answer:

i just want points to upload a post sry

Step-by-step explanation:

Let f (x) = 3x² + 2x – 1 and g (x) = x2 – 3x + 1
Find f(x) + g(x)
4x2 - x
4x2 + 5x
2x2 - 5x + 2
4x2 - x + 2

Answers

Answer:

4x² - 1

Step-by-step explanation:

Add:

3x² + 2x - 1

x² - 3x + 1

= 4x² - x

Lauren's vet commented that her puppy gained 10% in weight since the first visit. Write an expression that could be evaluated to show the puppy's current weight. Use a variable to represent the weight of the puppy at the first visit. Write the expression in simplified form. If the puppy gains another 10% in weight from the current visit to a future visit, how much will the puppy weigh? Write an expression that could be evaluated to show the puppy's future weight. Write the expression in simplified form.

Answers

Answer: expression to show puppy's current weight = x+ 0.1x, simplified form = 1.1x

Expression that for puppy's future weight= 1.1x + 0.1(1.1x), simplified form = 1.21 x

Step-by-step explanation:

Let x= Puppy's weight in the first visit.

If it gained 10% in weight from the first visit, then his current weight = (weight in first visit)+10% of (weight in first visit)

= x+ 0.1x

i.e. expression to show puppy's current weight = x+ 0.1x

In simplified form it will be

x+ 0.1x = x(1+0.1)

=x(1.1)

=1.1 x  (simplified form )

If puppy gains another 10% in weight, then its future weight = (current weight)+10% of (current weight)

= 1.1x+10% of 1.1x

= 1.1x + 0.1(1.1x)

Expression that for puppy's future weight= 1.1x + 0.1(1.1x)

= 1.1x(1+0.1)

= 1.1x(1.1)

=(1.1)²x

= 1.21x  (simplified form)

To create a model of an artery, a health teacher uses the scale 2.5 cm:0.75 mm. If the
diameter of the artery is 2.7 mm, what is the diameter on the model?
HELP PLS

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is 9 cm

Step By Step Explanation

3x + 2y + z = 7 2x + 3y - z = 8 5x + y + 2z = 11

Answers

Answer:

x = 3,    y = 0,      z = −2

Step-by-step explanation:

If its 9:00 am what time will it be in 50 hours

Answers

Answer:

in 50 hours it will be 11 am 2 days later

Step-by-step explanation:

24 hours is one day

2*24 = 48 hours is 2 days

50-48 = 2 hours

add 2 hours to 9 am

11 am

in 50 hours it will be 11 am 2 days later

Which inequalities are true? Select the four correct answers


Will mark Brainiest

Answers

Answer:

see below

Step-by-step explanation:

1.    0 < √8 = true

2.   √8 < 3 = true

3.   √8 > √7 = true

4.   √8 < 2 = false

5.   √8 > 8 = false

6.    1 < √8 = true

Inequalities help us to compare two unequal expressions. The inequalities that are true are 1, 2, 3 and 6.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The value of √8 is equal to 2.828427, therefore, the inequalities that are true are,

0 < √8√8 < 3√8 > √71 < √8

Hence, the inequalities that are true are 1, 2, 3 and 6.

Learn more about Inequality:

https://brainly.com/question/19491153

#SPJ5

You need at least 30 cubic feet of sand to fill a sand box. Each box contains 2.5 cubic feet of sand. Write and solve an inequality that represents the number of bags “b” that you need to buy

Answers

Answer:

2.56 = 30

b = 12

(Sorry if I’m wrong! I speeded on it.)

Step-by-step explanation:

What is the simplified expression for
44 • 43 45

Answers

The third one, 4^2 is the answer. Let me know if I got wrong

Answer:

D

Step-by-step explanation:

the simplified version is 16 I'm not sure tho.

Help me !!! Please someone

Answers

Answer:

5 and 6

Step-by-step explanation:

The square root of 25 is 5 and the square root of 36 is 6. 33 falls between those

I really need the answers or im dead​

Answers

Answer:

graph it and all of the #s will be negitive

Step-by-step explanation:

Answer:

W: (1, 4)

X: (4, 4)

Y: (6, 2)

Z: (5, 1)

Step-by-step explanation:

Rule for rotaion 270° counterclockwise (90° clockwise): (x, y) ⇒ (y, -x)

J: (-4, 1) ⇒ W: (1, 4)

K: (-4, 4) ⇒X: (4, 4)

L: (-2, 6) ⇒ Y: (6, 2)

M: (-1, 5) ⇒ Z: (5, 1)

Which rational number equals 0 point 1 with bar over 1?

Answers

See attachment for math work and answer.

Can somebody please help?

Answers

Answer:

1. real number, irrational number

2. rational number, real number


Convert to Standard Form
13-6x-=y

Answers

Answer:

6x+y=13

Step-by-step explanation:

A racquetball club membership costs $22.50 per month. What would a year’s membership cost?

Answers

Answer:

270 dollars for a year, so 22.50 times 12

The cost of the membership for a year will be $270.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A racquetball club membership costs $22.50 per month.

We know that in a year, the number of months is 12.

Then the cost of the membership for a year will be given by the multiplication of the numbers 22.50 and 12.

Cost = 22.50 x 12

Cost = $270

The cost of the membership for a year will be $270.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

You have prizes to reveal! Go to your game board.
A hummingbird lives in a nest that is 12 feet high in a tree. The hummingbird flies 13 feet to
get from its nest to a flower on the ground. How far is the flower from the base of the tree?

Answers

Answer:

1 foot?

Step-by-step explanation:

You subtract 13 from 12 to get the base divider.

Hurry quick I need help!!!!!!!!

Answers

The answer is A your welcome


El dueño de una cafeteria contrata dos
empleadas para la atencion de las mesos.
A la primera, que trabaja 8 horas diarias, le
paga $100.000 cada 6 dias; a la segunda, que
trabaja 12 horas diarias, le paga $200.0oo.
si el precio de una hora de trabajo es el
mismo para ambas, a ¿Cada cuantos dias le
paga a la Segunda empleada?

Answers

JAJJAJAJAJAJAJJAJAJAJAJA

Square root of 244 simplified radicals

Answers

Answer:

Exact Form:

2√61

Decimal Form:

15.62049935…

Step-by-step explanation:

I think lol

bob claims that he can map rectangle 1 to rectangle 2 select all of the transformations or series of transformation that support his claim

Answers

Answer:

The first thing you need to notice is that each mark in the coordinate axis represents 2 units.

Now, let's analyze each option that maps rectangle 1 to rectangle 2.

Reflection over the line x = 1, and a translation of 2 units down.

You can see that the right end of rectangle 1 us located at x = -2

The distance between x = -2 and the line of reflection is:

1 -  (-2) = 3

Then the left end of the reflected rectangle will e 3 units at the right of x = 1.

1 + 3 = 4

Will be at x = 4, same as rectangle 2.

Now we move it 2 units down, and we will have rectangle 1 mapped into rectangle 2.

Translation of 12 units right, and then 2 units down.

The right end of rectangle 1 is at x = -2

The right side of rectangle 2 is at x = 10

The difference is 10 -(-2) = 12

Then we must move rectangle 1 12 units to the right.

Now, same as before, we can move rectangle 1 2 units down and we will have rectangle 1 mapped into rectangle 2.

Rotation of 180° around the point (1, 4)

This means a reflection over the line x = 1, followed of a reflection over the line y = 4.

We already see that a reflection over the line x = 1 leaves rectangle 1 right above rectangle 2. And the line that separates them is the line y = 4, then when we do a reflection over that line, we will have rectangle 1 mapped into rectangle 2.

Answer:

D, E, and F

Step-by-step explanation:

Use the Factor Theorem to determine whether h(x) = x – 1 is a factor of f(x) = 14x^99 – 65x^56 + 51.

a. Yes
b. No

Answers

It’s is yes hopes that helps lol
the answer is a (yes)

Evaluate the expression for z = 3.

z2

Answers

Answer:

6

Step-by-step explanation:

z=3

z2= 3*2 = 6

Good luck

The total amount of Keira's cell phone bill, b, varies directly with the number of text messages she sends, m. Which of the following equations best models the amount of money Keira must pay for her cell phone bill?

Answers

Pls list the equation options so we can give you an answer

Which number line shows the solution to the inequality –2(3x – 1) < 8? A. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus one B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at two D. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at two to infinity

Answers

Answer:

The correct option is B.

Step-by-step explanation:

The inequality is: -2(3x - 1) < 8.

Solve for x as follows:

-2(3x - 1) < 8

-6x + 2 < 8

-6x < 6

-x < 1

x > -1

The solution for x is in the interval (-1, ∞].

The number line will be:

B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity


If Jodi walks 1 hour and 17 minutes, explain how you would convert this to
a decimal AND give how many hours this is.

Answers

Answer:

Step-by-step explanation:

17 minutes is 17/60 hours=0.28333 ≅0.283 rounded to the nearest thousandth

Jodi walked for  1.283 hrs.

See attachment for math work and answer.

If you can finish this sentence and get it right you be brainliest

"I can show you the _____ shining, shimmering, splendid"

Answers

Answer:

world

Step-by-step explanation:

Answer:

world

Step-by-step explanation:

"I can show you the world shining, shimmering, splendid"

[-4.5 + 12] = what is the anserw

Answers

Answer:7.5

Step-by-step explanation:

Answer:

The answer will be 8.5

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