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

A diver started at 4 feet above ground. After diving he ended at 58 feet below the surface
of the water. What was the change in elevation of the diver? Solve and write an equation,
then model with a number line.​

Answers

Answer:

62

Step-by-step explanation:

If the diver started 4 four feet above the ground and ended 58 feet below the surface, the diver went down, so we can solve this by taking the total distance traveled like so:

[tex]|4+58|[/tex] = 62

You want to build a small square patio out of one-foot square concrete slabs. Home Depot delivered 80 slabs to your home. Without cutting any of the slabs, what is the largest square patio you are able to build? Its dimensions will be feet by feet. Will you have any slabs left over? If so, how many? There will be slabs left over.

Answers

Answer:

Without cutting any of the slabs, what is the largest square patio you are able to build?

8 ft x 8 ft = 64 ft²

Will you have any slabs left over? If so, how many?

yes, I will have 16 slabs left over

Step-by-step explanation:

to find the largest square patio just calculate √80 = 8.94. Since you cannot cut the slabs, then the sides must be 8 x 8 = 64 slabs

if you had just one more slab, then you could have built a 9 by 9 square patio (√81 = 9)

PLEASE HELP!!! IF YOU GIT IT RIGHT I WILL GIVE YOU 90 BRANLY POINTS !!! Which of the following equations is not a proportion? 14/7 = 7/3.5, 1.5/3 = 3/9, 22/33 = 4/6, 2/3 = 142/213

Answers

Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

4. A triangle has sides of length 7, 10, and s. Write an equation representing the perimeter P of the triangle.​

Answers

Answer:dam I got the same thing

Step-by-step explanation:

By the way this Brandon

Trevon and Castel are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of
daffodil bulbs. Trevon sold 10 packages of tulip bulbs and 14 bags of daffodil bulbs for a total of $402. Castel sold 11
packages of tulip bulbs and 4 bags odaffodil bulbs for a total of $237. Select the correct 2 equations and the cost of each
package of tulip bulbs and one bag of daffodil bulbs.

Answers

Answer:

Selection to make is C, D, E

Step-by-step explanation:

Let the cost of a package of tulip bulbs be $x while the cost of a package of daffodil bulbs be $y

10 tulip = $10x

14 bulbs = $14y

The addition of both gives a total $402

10x + 14y = 402 •••••••(i)

11 tulip = $11x

4 dudafodil = $4y

Total is 237

11x + 4y = 237 ••••••••(ii)

So let’s solve to get the value of x and y

10x + 14y = 402

11x + 4y = 237

Divide equation 1 by 2

5x + 7y = 201

11x + 4y = 237

Multiply equation 1 by 4 and 2 by 7

20x + 28y = 804

77x + 28y = 1659

Subtract i from ii

57x = 855

x = 855/57

x = 15

Recall;

5x + 7y = 201

5(15) + 7y = 201

75 + 7y = 201

7y = 201-75

7y = 126

y = 126/7

y = 18

Cost of tulip is $15, cost of daffodil is $18

Please please please please help

Answers

Answer:

y=1

Step-by-step explanation:

Answer:

y=1 I not the greatest at math but I am 100% sure this is correct. :)

Helps me solve this problem please

Answers

Answer:

I Think D.

Step-by-step explanation:

Ella played a math game and had the five cards shown.
-5, -7, 4, -4, 10
Her score was the sum of the numbers on these five cards. What was Ella's score?

Answers

Answer:

-2

Step-by-step explanation:

-5 + -7 = -12

-12 + 4 = -8

-8 + -4 = -12

-12 + 10 = -2

Answer:

Answer:

-5

Step-by-step explanation:

7-4+2-10= -5

Step-by-step explanation:

Find the LCM (least common multiple) of 25 and 35.

LCM =

Answers

Answer:

175

Step-by-step explanation:

Hi there !

25 = 5²

35 = 5×7

Lcm = multiply together each of the prime numbers with the highest power

Lcm(25 ; 35) = 5²×7 = 25×7 = 175

Good luck !

Let f(x) = 2x + 2. Evaluate for f(6)

Answers

Answer:

f

(

6

)

=

74

Explanation:

If  

f

(

x

)

=

2

x

2

+

2

then

XX

f

(

6

)

=

2

6

2

+

2

XXXXX

=

2

36

+

2

XXXXX

=

74

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

plug in 6

the rest is common sense

Scott High School is holding a fundraiser and plans to use 1/2 of the money collected to build a new library. Of the money directed towards building the new library, 5/8 will go towards purchasing computers. What fraction of the money raised will go towards purchasing computers for the library?

Answers

Answer:

[tex]Computer = \frac{5}{16}[/tex]

Step-by-step explanation:

Given

[tex]Library = \frac{1}{2}[/tex]

[tex]Computers = \frac{5}{8}[/tex] of library.

Required

Determine the fraction going towards computer purchase.

We have:

[tex]Computers = \frac{5}{8}[/tex] of library.

This can be rewritten as:

[tex]Computers = \frac{5}{8}[/tex] * library.

Substitute [tex]Library = \frac{1}{2}[/tex]

So, we have:

[tex]Computer = \frac{5}{8} * \frac{1}{2}[/tex]

[tex]Computer = \frac{5}{16}[/tex]

Hence:

The fraction is [tex]\frac{5}{16}[/tex]

PLEASE HELP AND QUICK!!!

Answers

Answer:

A

Step-by-step explanation:

dude trust me

Is √3,600 rational? Or a perfect square

Answers

Answer:

Yes to both

Step-by-step explanation:

In pretty sure it’s rational

The number 4 and the number 4/1 are
exactly the same. Explain why.

Answers

Step-by-step explanation:

Hey there!

It's obvious that 4 and 4/1 are exactly same.

Reason: something divided by 1 is always a a number same in a numerator.

Example;

1. 7/1 = 7

2. 5/1 = 5

Hope it helps..

The lines represented by the equations y = -X – 3 and
5y + 5x = -15

Answers

Answer:

your y= is

y−intercept=−  1 /3  =−3.00000

Step-by-step explanation:

what is 0.16 to 4 significant figures?​

Answers

Answer:

0.1600

Step-by-step explanation:

because it would round to the closest number which is 0.1600

the value X = −3 and Y = 6.
what would be the answer to this
4y−3x =

Answers

Answer:

15

Step-by-step explanation:

First we would want to plug the x value given -3 into x in the equation then we want to plug the y value given 6 in the equation then solve.

4(6) - 3(-3) = ?

4 x 6 = 24

-3 x -3 = 9

24 - 9 = 15

Hope this helps

A jacket costs $34.85 plus sales tax. After sales tax, the jacket costs $37.29.

What is the approximate sales tax rate?

Answers

Equation:
37.29 = 34.85 + 34.85(x)

Solving:

37.29 = 34.85 + 34.85x
2.44 = 34.85x
x = 0.07

The approximate sales tax rate is 7%.

Answer:

the approximately sales tax rate is 7%

How far can a cheetah run in 2 hours at a speed of 40 miles/hour?

Answers

eighty miles in 2 hours

4r – 4s+ 4 = - 4
4r + s - 2t=5
- 3r - 3s - 41= -16
Help please

Answers

Answer:

r=-2.00000

s=2.00000

The points in the table lie on a line. Find the slope of the line.

Answers

The slope of the line is [tex]-\frac{3}{4}[/tex]

First, you must find 2 points.

(-6,8)    (-2,5)

Then, you must substitute the value of the points in.

[tex]\frac{5-8 }{-2+6}[/tex]

Finally, simplify the fraction.

[tex]-\frac{3}{4}[/tex]

Can someone please help me

Answers

3,0 is the answer for sure

To make lemonade, you need 6 lemons and 8 cups of water. How many lemons do you need if you had 24 cups of water?

Answers

Final Answer: 18 lemons

Explanation:

8 x 3 = 24

In order to find how many lemons you need, you need to multiply the amount of lemons by 3 as well.

6 x 3 = 18

Therefore, you need 18 lemons. :)

Two thirds of 148 seventh
graders buy their lunch at
school. How many students
is this?

Answers

Answer:

if you round, its 99. if you ignore the decimal, its 98

Step-by-step explanation:

2/3 of 148 is 98.66

An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute. Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?

Answers

Answer:

V = 19200 - 12m

Step-by-step explanation:

The pool contains 19200 gallons of water.

Now we are told that water drains from the pool at the rate of 12 gallons per minutes.

Now, we want to find the volume, V, of the water in the pool, "m" minutes after draining begins.

Since water drains at 12 gallons per minutes, it means that after "m" minutes, the total amount that would have been drained is 12m gallons.

Thus, total volume V left after m minutes can be expressed as;

V = 19200 - 12m

alr please help add: 21 / 100 + 6/10 =​

Answers

Answer:

The answer is 81/100.

Step-by-step explanation:

Multiply the denominator of the second fraction by 10 to get 100, then the numerator as well to get 60. Now that you have 21/100+60/100, all you have to do is add.

A bird leaves its nest and travels 15 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours.

Answers

Answer:d = distance down wind d - 5 = distance back time = distance ÷ speed x = d/18 x = (d - 5)/(15)

so d/18 = (d - 5)/15. Cross multiply 18d - 120 = 15d = 40-120 = -5d 24 = d so the whole trip assuming the bird gets back to the starting point is 48 miles..

Step-by-step explanation:

solve the inequality 809>-11+5/8n write the solution in set notation

Answers

Answer:

-798>n

Step-by-step explanation:

emilythompson35464

hope this helps srry if it doesn't tho

Answer:

1312

Step-by-step explanation:

i just did it and got it right

can ya'll do my math homework too pleaseee? again I'll give brainliest and be rlly happy.

also you gotta write show all the work you did to get the answer cuz my math teacher keeps yelling at me to do that.

f + 6 = -3

-3x = 21

2x + 6 = -12

15 - 3r = -45

21 + 3y = 5y + 8 - 2

3(2x - 1) = 4

-5(f - 3) = 2 - 3(2f - 2)

x + 1/2 = x - 3/7

7x + y + 8 = 0

2x + 2y + 6 = 0

6x - 4y + 8 = 0

Danny parks his car at a parking lot for a flat fee of $2.00 plus $0.25 per hour that his car is parked.

a) Write an equation to represent Danny's total parking cost, C, in dollars, for t hours.

b) How much will it cost Danny to park his car for a full 24 hours?

c) If Danny has $6, for how many hours can he park his car in the parking lot?

Jodi wants to buy a book that costs $18 before taxes. The taxes are 13% HST.

a) Write an equation for the total cost, C, after taxes for a book that costs r dollars.

b) Find the total cost of the book after taxes.

c) Suppose the cost of another book after taxes is $36.80. What was the total cost of the book before taxes?

ya I know it's a lot but I'd rlly appreciate it if ya'll could do at least some of it. I'm like drowning in over due assignments and it's not cute.

thank youuuu

Answers

Answer:

1. f = -9

2. x = -7

3. x = -9

4. x = -20

5. y = 7.5

Step-by-step explanation:

Hope this helps

f=3 x=-7 x=-3 r=10 (i skipped y) x=7/6 or 1.16 f=1 next is no solution

In order to solve the inequality -1/4 x > 8, which of the following steps must be done?

A.divide by -4 and flip the inequality symbol
B.multiply by -4 and keep the inequality symbol
C.divide by -4 and keep the inequality symbol
D. multiply by -4 and flip the inequality symbol

Answers

Answer:

multiply by -4 and flip the inequality symbol

Step-by-step explanation:

I just did the lesson.  

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