Answer:
B. (x - 2)^2 + (y - 1)^2 = 9.
Step-by-step explanation:
The general equation for a circle can be written as:
(x - a)^2 + (y - b)^2 = r^2 where the centre is at (a, b) and the radius= r.
Here a = 2, b = 1 and r = 3 so the answer is:
(x - 2)^2 + (y - 1)^2 = 3^2
= (x - 2)^2 + (y - 1)^2 = 9.
3 casseroles feeds 15 people
The ratio is 3:15
If you divide each of those by 3, youll find that 1 casserole feeds 5 people
1 : 5 is the ratio.
Divide 30 by 5 = 6
6 casseroles feeds 30 people.
6 : 30
35 divided by 5 = 7
7 casseroles feed 35 people
7 : 35
Answer:
true
Step-by-step explanation:
polygons are plain figures or shapes made up of line segments only. Circles, three-dimensional objects, any shapes that include curves, and any shapes that aren't closed are not polygons
When a triangle is dilated, the size of the triangle changes.
<em>The image of </em>
<em> are:</em>
![A' = (7,12)](https://tex.z-dn.net/?f=A%27%20%3D%20%287%2C12%29)
![B' = (13,8)](https://tex.z-dn.net/?f=B%27%20%3D%20%2813%2C8%29)
![C' =(5,0)](https://tex.z-dn.net/?f=C%27%20%3D%285%2C0%29)
We have:
![A = (9,13)](https://tex.z-dn.net/?f=A%20%3D%20%289%2C13%29)
![B = (12,11)](https://tex.z-dn.net/?f=B%20%3D%20%2812%2C11%29)
![C = (8,7)](https://tex.z-dn.net/?f=C%20%3D%20%288%2C7%29)
![k = 2](https://tex.z-dn.net/?f=k%20%3D%202)
Start by multiplying the scale factor by the coordinates of ![\triangle ABC](https://tex.z-dn.net/?f=%5Ctriangle%20ABC)
![A = (9,13) \times 2](https://tex.z-dn.net/?f=A%20%3D%20%289%2C13%29%20%5Ctimes%202)
![A = (18,26)](https://tex.z-dn.net/?f=A%20%3D%20%2818%2C26%29)
![B = (12,11) \times 2](https://tex.z-dn.net/?f=B%20%3D%20%2812%2C11%29%20%5Ctimes%202)
![B = (24,22)](https://tex.z-dn.net/?f=B%20%3D%20%2824%2C22%29)
![C =(8,7) \times 2](https://tex.z-dn.net/?f=C%20%3D%288%2C7%29%20%5Ctimes%202)
![C =(16,14)](https://tex.z-dn.net/?f=C%20%3D%2816%2C14%29)
Subtract the center of dilation from the above coordinates
![A' = (18,26) - (11,14)](https://tex.z-dn.net/?f=A%27%20%3D%20%2818%2C26%29%20-%20%2811%2C14%29)
![A' = (18-11,26-14)](https://tex.z-dn.net/?f=A%27%20%3D%20%2818-11%2C26-14%29)
![A' = (7,12)](https://tex.z-dn.net/?f=A%27%20%3D%20%287%2C12%29)
![B' = (24,22) - (11,14)](https://tex.z-dn.net/?f=B%27%20%3D%20%2824%2C22%29%20-%20%2811%2C14%29)
![B' = (24-11,22-14)](https://tex.z-dn.net/?f=B%27%20%3D%20%2824-11%2C22-14%29)
![B' = (13,8)](https://tex.z-dn.net/?f=B%27%20%3D%20%2813%2C8%29)
![C' =(16,14) - (11,14)](https://tex.z-dn.net/?f=C%27%20%3D%2816%2C14%29%20-%20%2811%2C14%29)
![C' =(16 - 11,14 - 14)](https://tex.z-dn.net/?f=C%27%20%3D%2816%20-%2011%2C14%20-%2014%29)
![C' =(5,0)](https://tex.z-dn.net/?f=C%27%20%3D%285%2C0%29)
Hence, the image of
are:
![A' = (7,12)](https://tex.z-dn.net/?f=A%27%20%3D%20%287%2C12%29)
![B' = (13,8)](https://tex.z-dn.net/?f=B%27%20%3D%20%2813%2C8%29)
![C' =(5,0)](https://tex.z-dn.net/?f=C%27%20%3D%285%2C0%29)
Read more about dilations at:
brainly.com/question/13176891
Answer:
3/2
Step-by-step explanation:
In order to find the slope with two points, you use this formula:
y2-y1 / x2 - x1.
y2 is 5 and y1 is -4. 5 - -4 = 9
x2 is 2 and x1 is -4. 2 - - 4 = 6
9/6 = 3/2.