Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2
1. v=0
2. No solution
3. m=0
4. No solution
5. p= -7
6. x=5
7. -12 = - 12
8. x=5
9. 3=3
10. -32= -32
11. x=0
12. No solution
I'm sorry if anything is wrong.
Answer:
in the theory of chances, it states that no matter what the average, chance can change it no matter what. Like someone getting good chances in a video game 2 times in a row. its rare, but compared to how many people play the game and how often, it was bound to happen at some point. the chances could be tiny, but it could still happen. just like if 100 monkeys were on typewriters typing 60 wpm, one would eventually type Abraham Lincoln. low chance, but if all these monkeys are doing it enough, it would happen eventually. so, it is entirely possible that 2/3 of his next predictions will be correct.
Step-by-step explanation: