Add the two expressions.<br><br> 6q + 1 and q + 11

charle [14.2K]

Answer:

A'(4, -4)
B'(0, -3)
C'(2, -1)
D'(3, -2)

Step-by-step explanation:

The coordinate transformation for a 270° clockwise rotation is the same as for a 90° counterclockwise rotation:

(x, y) ⇒ (-y, x)

The rotated points are ...

A(-4, -4) ⇒ A'(4, -4)

B(-3, 0) ⇒ B'(0, -3)

C(-1, -2) ⇒ C'(2, -1)

D(-2, -3) ⇒ D'(3, -2)

_____

<em>Additional comment</em>

To derive and/or remember these transformations, it might be useful to consider where a point came from when it ends up on the x- or y-axis.

A point must have come from the -y axis if rotating it 270° CW makes it end up on the +x-axis. A point must have come from the x-axis if rotating it 270° makes it end up on the +y axis. That is why we write ...

(x, y) ⇒ (-y, x) . . . . . . the new x came from -y; the new y came from x

4 0

2 years ago

A circular swimming pool has a radius of 15 ft. There is a path all the way around that pool that is three feet wide. A circle h

LuckyWell [14K]

The circumference of the outer edge of the path around the pool is 113.04 ft.

<h3>What is the circumference?</h3>

The Circumference (or) perimeter of circle = 2πR. where, R is the radius of the circle.

Given

A circular swimming pool has a radius of 15 ft.

There is a path all the way around that pool that is three feet wide.

A circle has a radius of 15 feet.

A larger circle goes around the smaller circle that is 3 feet wide.

The radius of the outer edge of the path around the pool = Radius of circle + width of outer circle.

The radius of the outer edge of the path around the pool = 15 + 3

The radius of the outer edge of the path around the pool = 18ft

The circumference of the outer edge of the path around the pool is;

$\rm Circumference=2\pi r\\\\Circumference = 2\times 3.14 \times 18\\\\Circumference=113.04 \ ft$

Hence, the circumference of the outer edge of the path around the pool is 113.04 ft.

To know more about circumference click the link given below.

brainly.com/question/5023328

8 0

2 years ago

What is the slope !!!!!

Ratling [72]

Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, meaning that you subtract the first x and y-coordinates from the second x and y-coordinates. We'll use the points (0, 3) and (3, 2) for this case. Plug in the values into the formula to get this:

2 - 3 / 3 - 0

Subtract the values in order to get -1/3. There. The slope of the line is -1/3.

6 0

3 years ago

Last year, Jason's average in math was a 72. This year, his average is a 90. What is the percent increase in Jason's grade?

slamgirl [31]

Answer:

20% increase

Step-by-step explanation:

All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20

7 0

2 years ago

Help if you get it right I will give you Brainliest

olga_2 [115]

Answer:

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8 0

3 years ago

Add the two expressions. 6q + 1 and q + 11