Suppose the parallelogram JKLM has vertices:

J (2, 1)

K (7, 1)

L (6, −3)

M (1, −3)


Write each transformation in function notation and find the new coordinates of each point.

1. J' if the parallelogram is rotated counterclockwise 270° about the origin?

2. K' if the parallelogram is rotated counterclockwise 180° about the origin?

3. L' if the parallelogram is rotated counterclockwise 90° about the origin?

4. M' if the parallelogram is rotated counterclockwise 90° about the origin?


I NEED HELP

Answers

Answer 1

Answer:

1. For a rotation of 270° counterclockwise about the origin the coordinates of J' is (1, -2)

2. For a rotation of 180° counterclockwise about the origin the coordinates of K' is (-7, -1)

3. For a rotation of 90° counterclockwise about the origin the coordinates of L' is (3, 6)

4. For a rotation of 90° counterclockwise about the origin the coordinates of M' is (3, 1)

Step-by-step explanation:

The coordinates of the vertices of the parallelogram are given as follows;

J(2, 1), K(7, 1), L(6, -3), M(1, -3)

1. We have, for a rotation of 270° counterclockwise about the origin we have

f(x, y) = (y, -x)

Therefore, we have for the vertices;

f(J(2, 1)) = J'(1, -2)

Therefore, we have the coordinates of J' as (1, -2);

2. We have, for a rotation of 180° counterclockwise about the origin we have

f(x, y) = (-x, -y)

Therefore, we have for the vertex point K;

f(K(7, 1)) = K'(-7, -1)

3. We have, for a rotation of 90° counterclockwise about the origin we have

f(x, y) = (-y, x)

Therefore, we have for the vertex point L;

f(L(6, -3)) = L'(3, 6)

4. We have, for a rotation of 90° counterclockwise about the origin we have

f(x, y) = (-y, x)

Therefore, we have for the vertex point M;

f(M(1, -3)) = M'(3, 1)


Related Questions

alph and his brother are at a carnival. They separate from each other at the Ferris wheel at 1:00 PM, and they agree that they will each meet back at the Ferris wheel from time to time to see whether the other is ready to leave. Ralph checks the Ferris wheel every 15 minutes. Joe checks in every 24 minutes. At what time will they meet at the Ferris wheel again?

Answers

Answer: 3pm

Step-by-step explanation:

It will take them 120 minutes to meet back up together

24x5=120

15x8=120

In the United States, 15,000,000 households use private wells for their water supply. Write this number in scientific notation.
need answer fast

Answers

Answer:

1.5*10^7

Step-by-step explanation:

That's same as saying standard form

Answer:

1.5 x 10 to the 7th power

Step-by-step explanation:

There are 7 digits between the decimal point in 15,000,000.0 and the first digit. So it can then be rewritten as 1.5 x 10 to the 7th power

Which of the following ordered pairs are y-intercepts? Check all that apply
(4,0)
(-1, 1)
(0,0)
(0,-7)
(-2,-2)
(0,-0.25)​

Answers

A y-intercept is the value at which x = 0.

(4,0) is not a y-intercept because x = 4.

(-1, 1) is not a y-intercept because x = -1.

(0,0) is a y-intercept because x = 0.

(0, -7) is a y-intercept because x = 0.

(-2, 2) is not a y-intercept because x = -2.

(0, -0.25 is a y-intercept because x = 0.

Answer:

here's the answer

Step-by-step explanation:

Consider the function rule: y = 9x – 7
What is the value of y when x=4?
What is the value

Answers

The value of y is 29

Since x=4, put 4 in 9x

y = 9(4) - 7
y = 36 - 7
y = 29

Which line is steeper Line A or Line D? EXPLAIN. PLEASE HELP I WILL MARK BRAILIEST!!

Answers

It would be line A, because of the fact the it is rising at a faster rate.

Answer:

line A is steeper.

Line A´s slope is 1, while line d´s slope is 2/5

Write an exponential expression: choose a number between 0 and 10 to be the base and another number between 0 and 10, different from the base, to be the exponent. Label the base and the exponent. Then write the exponential expression in expanded form and standard form.

Answers

Answer:

In expanded form:

2^3 = 2 * 2 * 2 = 8

In standard form :

2^3

Step-by-step explanation:

Given the numbers in range (0 to 10)

Write an exponential expression :

Choosing from the range for the Base and the exponent

Base = 2

Exponent = 3

where ; 2 = base. ; 3 = exponent

In expanded form:

2^3 = 2 * 2 * 2 = 8

In standard form :

2^3

Which shows the scale factor used to dilate triangle XYZ to form triangle X'Y'Z'?
A( 1/2 x, 1/2 y)
B (1/3 x, 1/3 y)

Answers

The answer you would be looking for is A. (1/2 x, 1/2 y)

Answer:

B

Step-by-step explanation:

A is wrong lol, trust me.

Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use



Pleas help

Answers

Answer:

He used 9 rubberbands.

pls give me brainliest if correct.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

36 divided by 1 over 4 equals 9

9+9+9+9=36

1+1+1+1=36

-----------

4  4  4  4

Calculate the unit rate for each option of Takis, explain which option is better,
and why?

Answers

Answer: .42 for left bag .22 for right bag

(1st explanation is the left bag and the 2nd in the right bag)
Explanation: If the bag is $1.68 for 4oz of takis and you want to find the unit rate you do 1.68 divided by 4 which equals $0.42 per oz of takis.
2nd Explanation: If its $4.42 for 20 oz of takis do 4.42 divided by 20 which equals $0.22.

Explanation for the teacher (I saw the worst words ever, "why?": The right bag of takis are the best value since the left bag is a little bit less than twice the right bag.

Answer:

they are better because they are cheeper than the other

Help please

5w - w/x

When w = 6 and x = 2

Answers

Answer:

27

Step-by-step explanation:

5*6=30

6/2=3

30-3=27

Equation :

[tex]5w - \dfrac{w}{x} [/tex]

Given:

w=6

w=6x=2

Solution:

Let's put value of w and x

[tex]5 \times 6 - \dfrac{6}{2} [/tex]

Step 1:

[tex]30 - 3[/tex]

Step 2:

[tex]\purple{27}[/tex]

Add -7d - 3 and 10d - 6. Show all steps.

Answers

Answer:

[tex]3d - 9[/tex]

Step-by-step explanation:

[tex](-7d - 3)+(10d - 6)\\-7d - 3 + 10d - 6\\-7d + 10d -3 - 6\\3d - 9[/tex]

Only do 12(I will mark brainlest

Answers

Answer:

D

Step-by-step explanation:

None of them show the Unit Rate

Answer:

B because unit rate is for a single unit.



What is the app, oximate value of 8
to the nearest tenth?

Answers

Answer:

10

Step-by-step explanation:

All other tens values are too far

Answer:

10

Step-by-step explanation:

A shelf in the basement held 7 one-gallon cans that were each 3/4 full of paint of the same color. Hand combines all of the paint. Hank used 3 1/3 cans of the combined paint a hallway. How many gallons of paint were left?​

Answers

Answer:

1.91666667

Step-by-step explanation:

7 times 3/4 = 5.25

5.25 - 3 1/3 = 1.91666667

When you were born, your grandma put $308 into a bank account for you to have when you turn sixteen. She has specific directions that you must follow in order to access the money. Starting on your 16th birthday, you must withdraw (take out) $14 a week for ‘fun money.’
a. Write an equation to represent this situation.
b. When will you run out of money? Show all of your work for calculating this problem and don’t forget to include your units!
c. Find the domain & range of this problem in the real-world context.

Answers

Answer:

$308 - 14r

Number of weeks = 22 weeks

Step-by-step explanation:

Given that:

Amount kept in bank = $308; which should be withdrawn weekly at $14 per week

Total amount in bank - weekly withdrawal * number rof weeks

Let number of weeks = r

$308 - 14r

When will the money run out

$308 - 14r = 0

-14r = - 308

Divide through by 14

14r/13 = 308/14

r = 22

Tne entire money can be withdrawn for 22 weeks at $14 per week without any leftover.

0.93=

please explain how you got the answer.

Answers

fraction form 93/100
percentage form 93%
theres many wayss you could write this but im not sure i surley understand what you mean by this question

Please help This is due today help please ASAP

Answers

Answer:

6:05 PM

Step-by-step explanation:

Answer:

6:05 P. M.

Step-by-step explanation:

3 hours after 2:45 pm is 5:45 pm. 20 minutes after 5:45 pm is 6:05 pm.

Can someone please help me

Answers

Answer:

x, 4 y, 3, z2

Step-by-step explanation:

what is the slope (m) and the y-intercept (b) for y = 4x -8 *

Answers

y=-4x-8

To find x-intercept / zero , substitute y=0

0=4x-8

Move Variable to the left-hand side and change its sign

-4x=-8

Divide both sides of the equation by -4

Answer: x=2

Four students are to solve 5(x-3)=2x+6 which solution and explanation is right?

Answers

Answer:

pft

Step-by-step explanation:

not sure, im confused

-4x-2y = -6

a. y = -2x + 3
b. y = 2x - 3
C. y = 2x + 3
d. y=-2x - 3

Answers

Answer:

B

Step-by-step explanation:

y = 2x - 3

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In your own words, explain how to find the rate of change of the following graph at x=1. Then find the rate of change at x=1.

Answers

Answer:

see below

Step-by-step explanation:

The rate of change is

f(x2) - f(x1)

------------------

x2-x1

Since this is a line we can pick any two points on the line, one befre x=1 and one after x=1

Let x=0 and x=2

f(2) - f(0)

-------------

2-0

4-2

-------

2

2/2

1

The rate of change is 1

Write 73.5 as a mixed number.

Answers

The answer is 73 1/2

I need help asap please​

Answers

How many answers can you choose?

Answer:

(E) if im wrong don't sew meh

Step-by-step explanation:

What integer divided by -5 equals -6?
-30
24
-24
30

Answers

Answer:

30

Step-by-step explanation:

30/-5=-6

due to integer rules the number would be negative

Jack and Jill purchased cell phones. Jack's plan charges a fee of $24 plus $0.08 per minute he talks. Jill's plan charges a fee of $10 plus $0.15 per minute she talks. Which equation could be used to determine when Jack and Jill's plans will be the same?

Answers

Given:

Jack's plan charges a fee of $24 plus $0.08 per minute he talks.

Jill's plan charges a fee of $10 plus $0.15 per minute she talks.

To find:

The equation which is used to determine when Jack and Jill's plans will be the same.

Solution:

Let t be time in minutes.

Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is

[tex]f(t)=24+0.08t[/tex]

Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is

[tex]g(t)=10+0.15t[/tex]

Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].

[tex]24+0.08t=10+0.15t[/tex]

Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].

Cole is making decorated jellybean bags for a party. Each one contains 5/6 pounds of jellybeans. If cole has purchased 1,000 pounds of jellybeans, how many party bags can Cole make?

Answers

Answer:

1166 is the answer to your suggestion

Answer the following above:

Answers

The answer is 5/6 because

Answer:

0.8333 as a decimal or [tex]\frac{5}{6}[/tex] as a fraction.

Step-by-step explanation:

First, you would divide -5/8 and -3/4 in the parenthesis. Right after, you would divide the numbers you have in the parenthesis and you would end up with 0.8333 or [tex]\frac{5}{6}[/tex] both are equal.

Simplify the expression-2(-9g+4)

Answers

Answer:

18g - 8

Step-by-step explanation:

Multiply using the distributive property.

Answer:

18g-8 is the answer

Step-by-step explanation:

You have to do distributive property, which you do -2 by -9g which end sup in a positive 18g,then you multiply -2 and 4, the result is and -8. - by + is -. + by - is -. + by + is +, - by - is +


[tex]80 = 6400 \div [/tex]
plssss I need help​

Answers

is there more to the question?
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