Triangle CAT has vertices C(-4,5), A(3,-1), and T(-2,-7). What are the coordinates of the image after a 270° counterclockwise rotation about the origin? Remember to include parentheses and do NOT include any spaces.
C'
A'
T'​

From my understanding and your lack of a picture:

The triangle CAT has rotated in 90 degrees clockwise direction about the origin or 270 degrees counterclockwise direction about the origin.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of the vertices of the pre-image are C(-2,1), A(-3,3) and T(1,1). The coordinates of the vertices of the image are C'(1,2), A'(3,3) and T(1,-1).

From these coordinates, we can conclude that the relation between the preimage and image is

If a figure rotated 90 degrees clockwise direction about the origin, then

Therefore triangle CAT is rotated 90 degrees clockwise direction about the origin or 270 degrees counterclockwise direction about the origin.

In 1803 the United States purchased the Louisiana Territory from France
for $15 million. In 1867 the United States purchased Alaska from Russia
for $7.2 million. The purchase of Alaska occurred how many years after
the purchase of the Louisiana Territory?

If a=6 and b=4 , find the value of the expression 8a + 7b.

Grade#8

The cost price of a box of cereal is $1.80. The markup for each box of cereal is 60%. Find the selling price of each box of cereal.

HELP ME PLEASE! Rockville and Marion are 7cm apart on a map that has a scale of 1 in: 3ft, then how tall is the real house?

Liam went out to lunch. He paid his $13.79 bill in cash and received less than $7 in change. How much could Liam have paid the cashier?


Would you write an inequality or an equation?

Antonio is buying a stereo, speakers, and amplifiers for his car audio system. He is choosing among 4 models of stereos and 3 styles of speakers. If he has 36 different choices, how many kinds of amplifiers must there be?
2
3
4
12

what is the median weight of the mice ?

carrie records the weight s , in ounces , of 8 mice for a science project in the list

below . what is the median weight of the mice ?

⇔ 0.71 , 0.66 , 0.63 , 0.73 , 0.70 , 0.68 , 0.66 , 0.66 ⇔

A student received a coupon for ​ 11% off the total purchase price at a clothing store. Let x be the original price of the purchase. Use the expression below for the new price of the purchase. Write an equivalent expression by combining like terms. please help! 15 points!

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Jackie claims that the expression is equivalent to the expression for all values of. Is Jackie correct? Why or why not?

A
Jackie is correct. She rewrote the expression 5(3x −4) 5\left(3x\ -4\right)\5(3x −4) as 8x + 1 8x\ +\ 1\8x + 1 . Then she added the 222 for a final answer of 8x +38x\ +38x +3 .

B
Jackie is correct. She rewrote the expression 5(3x −4) 5\left(3x\ -4\right)\5(3x −4) by combining 555 to and 3x3x3x to get 8x8x8x . She then calculated 4−3=14-3=14−3=1 and added 222 for a final answer of 8x +38x\ +38x +3 .

C
Jackie is not correct. She expression 5(3x −4) 5\left(3x\ -4\right)\5(3x −4) should be rewritten as 15x−2015x-2015x−20 When 222 is added, the final answer is 15x−1815x-1815x−18 .

D
Jackie is not correct. She expression 5(3x −4) 5\left(3x\ -4\right)\5(3x −4) should be rewritten as 15x−415x-415x−4 When 222 is added, the final answer is 15x−215x-215x−2 .

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The original price of a table sold in an electronics store was $308. Members of the electronics store can purchase the tablet at a lower price of $246.40. Use proportion to find the percent (%) of discount for members.

Danielle has taken five math tests so far this year. The tests are out of twenty points, and she has gotten the following scores.

17, 19, 20, 14, 16

A. What is the mode of her scores?
17
no mode
6
17.2

B. What must Danielle score on her sixth test in order to have a mean of 17.5?

19
17
18
20

Help pls explain due at 7:45
What is the mean of the following set of numbers?

121, 347, 45, 21, 300, 614, 312, 333, 421

A.279.3
B,no mean
C.312
D.251.4

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What is the theme of the story? How is it revealed by the actions of the characters? Use details from the story to support your response.

Frabjous Day

Everyone at our lunch table was silent; our small world had been rocked to the core. Derrick, president of the computer chess club stared at his lunch tray as if it held some sort of threatening, inedible concoction from another planet. Laurel, the leader of my literary discussion group, was pale, looking as though she were coming down with some nasty illness. We had just learned that Frabjous Day, the best and only bookstore in our small town might have to close. Business was just too slow. (The charming name, of course, was from Lewis Carroll's nonsense poem "Jabberwocky.") People were purchasing books online or downloading them to their e-readers. No one seemed interested in a real bookstore anymore. This impacted us not only because our groups met at Frabjous Day, but also because we believed that the bookstore added value to life and the community.

"We need to save Frabjous Day, and we have to get all our classmates involved in the effort," Laurel said, breaking the painful silence. She was right, but the obstacles in our way made climbing Mt. Everest look like a walk in the park. We represented just a few people at our school, and we had no idea how to reach everyone.

"My brother is always quoting his basketball coach," Derrick said, "One word that keeps coming up is 'strategy.' Maybe that's what we need: a unique strategy to get everyone to recognize the value of Frabjous Day and become involved in the store."

I admired the idea immediately. Come to think of it, my literary group had recently read a classical book on strategy called The Book of Five Rings. It was written in the 1600s by a Japanese swordsman, and it describes the necessity of discipline, perception, and outthinking your opponent. I remembered a quote about there being more than one path to the mountaintop, which seemed appropriate.

After several days, we had developed a plan. First we talked with our principal and then with the owner of Frabjous Day. Finally, we set up a big display at school under the banner STRATEGIES FOR SUCCESS. We exhibited books like the Five Rings and a book written by a championship-winning basketball coach. We had a book of political writings by Gandhi and another on effective environmental conservation. I personally selected biographies of successful people, including a biography on a fabulously successful actress. We had a big sign that read: "Build strategies for succeeding at what you love! Visit Frabjous Day this afternoon after school. You'll learn a lot and enjoy free sandwiches and cookies." Laurel thought of that last part because, after all, food always brings people together.

Crowds of students turned up that afternoon. We knew we needed them to actively commit to saving the store. Derrick, a master at chess strategy, devised a personalized group approach for the athletes. He showed students how to play a computerized strategy game, explaining how to use the idea on a personal or athletic level. Under a sign reading "Have a blind date with a book," Laurel set up a display of books covered in brown paper, with a brief handwritten description of the contents that was purposefully vague, yet very enticing. I invited a TV personality who grew up in our town. Everyone wanted to meet a real celebrity! Even better, people got excited about helping each other and the bookstore.

Our local librarian, Mr. Chung, contributed the best idea of all. His college roommate had been the now famous guitarist and singer Joel J. Mr. Chung and Joel were also best friends with Cecily Armstrong, whose latest mystery novel was on the best-seller list. Mr. Chung printed out raffle tickets to be given with each book sold. At the end of the year, some lucky winner would have his or her name in an original Joel J song lyric. Another lucky winner would be a character in Ms. Armstrong's next novel. The raffle was a huge success. There was no doubt that Frabjous Day was going to have many frabjous days ahead.

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5/8 × 6/7

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