The coordinates of point B are (-4 , -2) ⇒ answer H
Step-by-step explanation:
In any circle
- The diameter of the circle passing through its center
- The center of the circle is the mid-point of all diameters
If (x , y) are the coordinates of the mid-point of a line whose end
points are
and
, then
and ![y=\frac{y_{1}+y_{2}}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D)
∵ Point C is the center of a circle
∵ AB is the diameter of the circle
∴ C is the mid point of AB
∵ A = (2 , 6) ⇒ ![(x_{1},y_{1})](https://tex.z-dn.net/?f=%28x_%7B1%7D%2Cy_%7B1%7D%29)
∵ B = ![(x_{2},y_{2})](https://tex.z-dn.net/?f=%28x_%7B2%7D%2Cy_%7B2%7D%29)
∵ C = (-1 , 2) ⇒ (x , y)
- Use the rule of the mid-point above
∵ ![-1=\frac{2+x_{2}}{2}](https://tex.z-dn.net/?f=-1%3D%5Cfrac%7B2%2Bx_%7B2%7D%7D%7B2%7D)
- Multiply both sides by 2
∴ -2 = 2 + ![x_{2}](https://tex.z-dn.net/?f=x_%7B2%7D)
- Subtract 2 from both sides
∴
= -4
∴ The x-coordinate of point B is -4
∵ ![2=\frac{6+y_{2}}{2}](https://tex.z-dn.net/?f=2%3D%5Cfrac%7B6%2By_%7B2%7D%7D%7B2%7D)
- Multiply both sides by 2
∴ 4 = 6 + ![y_{2}](https://tex.z-dn.net/?f=y_%7B2%7D)
- Subtract 6 from both sides
∴
= -2
∴ The y-coordinate of point B is -2
The coordinates of point B are (-4 , -2)
Learn more:
You can learn more about the circle in brainly.com/question/9510228
#LearnwithBrainly
Answer:
A standard sheet of paper is 11 by 8.5 inches.
The estimated length of a standard sheet of paper is one 12 inch ruler.
The correct answer is the 2nd one
Answer: ![\$8.855](https://tex.z-dn.net/?f=%5C%248.855)
Step-by-step explanation:
The former cost of the book is ![\$8.05](https://tex.z-dn.net/?f=%5C%248.05)
The new cost of the book is the old cost plus the
of
:
![\$8.05+\$8.05(10\%)](https://tex.z-dn.net/?f=%5C%248.05%2B%5C%248.05%2810%5C%25%29)
Since:
![10\%=\frac{10}{100}=0.1](https://tex.z-dn.net/?f=10%5C%25%3D%5Cfrac%7B10%7D%7B100%7D%3D0.1)
We have the following:
![\$8.05+\$8.05(0.1)=\$8.05+\$0.805](https://tex.z-dn.net/?f=%5C%248.05%2B%5C%248.05%280.1%29%3D%5C%248.05%2B%5C%240.805)
Then, the new price of the book is:
![\$8.855](https://tex.z-dn.net/?f=%5C%248.855)