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.

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Describe and correct the error in solving the equation. Solve the equation algebraically in the "Show Your Work" box. Put your final answer in the space below. Check your solution.

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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.

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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.

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Simplify the following

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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

Tom drinks 4 pints of water a day.

How many full tanks of water will he drink in 30 days?

Enter your answer in the box.

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.

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In 1803 the United States purchased the Louisiana Territory from France
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Is the following example a biased question.

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In triangle ABC, let the angle bisectors be BY and Cz. Given AB = 8, $AY = 6, and CY = 3, find BZ and BC.
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Help pls explain due at 7:45
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A.279.3
B,no mean
C.312
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2
3
4
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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
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C
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D
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Would you write an inequality or an equation?