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3 years ago

What are the coordinates of the points (2,-3) after a counter clockwise rotation of 90 about the Origin?

Mathematics

1 answer:

Ber [7]3 years ago

4 0

Step-by-step explanation:

(2, -3) is in the 4th quadrant. By the counter clockwise rotation of 90° around the origin, it will be in the 1st quadrant.

Any point in the 1st quadrant has both positive x and y coordinates.

So the answer is (3, 2).

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Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 32 ft long. She wants to leave a uniform strip of floor aroun

Rainbow [258]

Answer:

The rug should be 15 ft wide and 28 ft long.

Step-by-step explanation:

I have attached a figure that represents the situation.

The the rug is $l$ by $h$ , the width of the strip of floor is $w$ .

We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that

$l*h=420$ (this says the area of the rug must be 420 square feet)

From the figure we see that

$l= 32-2w$

$h=19-2w$

Therefore,

$l*h=420\\\\(32-2w)(19-2w)=420$

We expand this equation and get:

$4w^2-102w+608=420\\\\4w^2-102w+188=0$

using the quadratic equation we get two solutions:

$w=2\\w=23.5$

since the second solution, namely $w=23.5$ , is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take $w=2$ to be our solution.

Now we find the dimensions of the rug:

$l=32-2(2)=28\\\\h=19-2(2)=15$

The rug is 15 ft wide and 28 ft long.

8 0

3 years ago

Simplify the following expression. show your work. (-y + 5.3) + (7.2y - 9)

Kitty [74]

Answer:

6.2y - 3.7

Step-by-step explanation:

−y+5.3+7.2y−9

Subtract 9 from 5.3 to get −3.7.

−y−3.7+7.2y

Combine −y and 7.2y to get 6.2y.

6.2y−3.7

6 0

2 years ago

Point A is located at (-2, -6) and is translated 4 units up. What are the coordinates of point A'?

gavmur [86]

Its A because the vertical line is the y-axis so 4+-6 is -2 and the x-axis would remain the same. #TeamAlvaxic

5 0

3 years ago

Someone please give me the answers for this lol

Lana71 [14]

Answer:

A is the correct answer.

Step-by-step explanation:

y and x meet on those numbers. And i did the test.

hope this helps

8 0

3 years ago

Read 2 more answers

Which of the following equations is a direct variation? y=3X+2 y=5 y=2x y=8x+6

Alex

$direct \: varition \: means \: y \alpha x \\ it \: becomes \: y = kx$
So y=2x is the only answer that fit y=kx, while k=2

3 0

3 years ago