Answer: A'=(1, 3); B'=(-3, 4);C'=(3, 0); D'=(-2, 5)
You can check the PNG attached as well.
Step-by-step explanation:
You need to represent the symmetry of every given points respet to the line
![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
In that case, the line beeing paralell to the x- axis, x- value of the symmetry is the same of the given point and y = 2 is the middle between both points.
Point A(1, 1)
![x_{A} = 1\\ x_{A'} = 1 \\\\\frac{y_{A} +y_{A'} }{2} =2\\y_{A'} = 4 - y_{A} = 4 - 1 = 3](https://tex.z-dn.net/?f=x_%7BA%7D%20%3D%201%5C%5C%20x_%7BA%27%7D%20%3D%201%20%5C%5C%5C%5C%5Cfrac%7By_%7BA%7D%20%2By_%7BA%27%7D%20%7D%7B2%7D%20%3D2%5C%5Cy_%7BA%27%7D%20%3D%204%20-%20y_%7BA%7D%20%3D%204%20-%201%20%3D%203)
Point B(-3, 0)
![x_{B} = 1\\ x_{B'} = 1 \\\\\frac{y_{B} +y_{B'} }{2} =2\\y_{B'} = 4 - y_{B} = 4 - 0 = 4](https://tex.z-dn.net/?f=x_%7BB%7D%20%3D%201%5C%5C%20x_%7BB%27%7D%20%3D%201%20%5C%5C%5C%5C%5Cfrac%7By_%7BB%7D%20%2By_%7BB%27%7D%20%7D%7B2%7D%20%3D2%5C%5Cy_%7BB%27%7D%20%3D%204%20-%20y_%7BB%7D%20%3D%204%20-%200%20%3D%204)
Point C(3, 4)
![x_{C} = 1\\ x_{C'} = 1 \\\\\frac{y_{C} +y_{C'} }{2} =2\\y_{C'} = 4 - y_{C} = 4 - 4 = 0](https://tex.z-dn.net/?f=x_%7BC%7D%20%3D%201%5C%5C%20x_%7BC%27%7D%20%3D%201%20%5C%5C%5C%5C%5Cfrac%7By_%7BC%7D%20%2By_%7BC%27%7D%20%7D%7B2%7D%20%3D2%5C%5Cy_%7BC%27%7D%20%3D%204%20-%20y_%7BC%7D%20%3D%204%20-%204%20%3D%200)
Point D(-2, -1)
![x_{D} = 1\\ x_{D'} = 1 \\\\\frac{y_{D} +y_{D'} }{2} =2\\y_{D'} = 4 - y_{D} = 4 - (-1) = 4 + 1 = 5](https://tex.z-dn.net/?f=x_%7BD%7D%20%3D%201%5C%5C%20x_%7BD%27%7D%20%3D%201%20%5C%5C%5C%5C%5Cfrac%7By_%7BD%7D%20%2By_%7BD%27%7D%20%7D%7B2%7D%20%3D2%5C%5Cy_%7BD%27%7D%20%3D%204%20-%20y_%7BD%7D%20%3D%204%20-%20%28-1%29%20%3D%204%20%2B%201%20%3D%205)
I hope this helps you
volume of sphere =4/3.pi.r^3
Answer:
y = -3/4x -5 (G)
Step-by-step explanation:
Find the slope by using the slope formula. (It's hard to format here so look it up)
Basically, it is y2 - y1/x2 - x1
-5 - 1/ 0 + 8
-6/8 = -3/4
The slope is -3/4.
Plug in for y = mx + b
y (y coordinate) = -5
x (x coordinate) = 0
slope (m) = -3/4
-5 = -3/4(0) + b
-5 = 0 + b
b = -5
y = -3/4x -5
All you do is subtract the two numbers
12 is the square root of 144.
~Silver