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 
∵ 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) ⇒
∵ B =
∵ C = (-1 , 2) ⇒ (x , y)
- Use the rule of the mid-point above
∵ 
- Multiply both sides by 2
∴ -2 = 2 + 
- Subtract 2 from both sides
∴ = -4
∴ The x-coordinate of point B is -4
∵ 
- Multiply both sides by 2
∴ 4 = 6 + 
- Subtract 6 from both sides
∴ = -2
∴ The y-coordinate of point B is -2
The coordinates of point B are (-4 , -2)
Learn more:
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Answer:
The chord is bisected ⇒ 3rd answer
Step-by-step explanation:
* Lets revise some facts in the circle to solve the problem
- A chord in a circle is the segments whose endpoints lie on the
circumference of the circle
- A diameter of a circle is a chord passes through the center of the
circle
- The diameter is the longest chord in the circle
- Any line passes through the center of the circle and perpendicular
to a chord on the circle bisects it
* Lets solve the problem
∵ The diameter of the circle passes through the center of the circle
∵ The diameter intersects a chord of a circle at a perpendicular
∴ The diameter is perpendicular to the chord
∵ Any line passes through the center of the circle and perpendicular
to a chord on the circle bisects it
∴ The diameter bisects the chord
* The chord is bisected
X is the number
when x is decreased by 18, we say 18-x
the result is 14
18-x=14
minus 18 both sides
-x=-32
times both sides by -1
x=32
-8.571428571428571 look up percentage calculator and do it
