Answer:
The correct answer is C
Step-by-step explanation:
The given circle is centered at A(3, 1) and passes through the origin (0, 0).
The radius of this circle can be found using the distance formula;
.
.
.
.
.
The equation of this circle is given by
![(x-a)^2+(y-b)^2=r^2](https://tex.z-dn.net/?f=%28x-a%29%5E2%2B%28y-b%29%5E2%3Dr%5E2)
Where
is the centre.
We substitute the center and radius to obtain;
![(x-3)^2+(y-1)^2=(\sqrt{10})^2](https://tex.z-dn.net/?f=%28x-3%29%5E2%2B%28y-1%29%5E2%3D%28%5Csqrt%7B10%7D%29%5E2)
![(x-3)^2+(y-1)^2=10](https://tex.z-dn.net/?f=%28x-3%29%5E2%2B%28y-1%29%5E2%3D10)
Option A
When we substitute (2,-2) into this equation we get;
![(2-3)^2+(-2-1)^2=10](https://tex.z-dn.net/?f=%282-3%29%5E2%2B%28-2-1%29%5E2%3D10)
![1+9=10](https://tex.z-dn.net/?f=1%2B9%3D10)
This is true
Option B
When we substitute K(6,0), we get,
![(6-3)^2+(0-1)^2=10](https://tex.z-dn.net/?f=%286-3%29%5E2%2B%280-1%29%5E2%3D10)
![9+1=10](https://tex.z-dn.net/?f=9%2B1%3D10)
This is also true
Option C
We substitute L(4,-4) to get;
![(4-3)^2+(-4-1)^2=10](https://tex.z-dn.net/?f=%284-3%29%5E2%2B%28-4-1%29%5E2%3D10)
![1+25=10](https://tex.z-dn.net/?f=1%2B25%3D10)
This is false. Hence L(4,-4) does not lie on the circle.
Option D
We substitute M(2,4)
![(2-3)^2+(4-1)^2=10](https://tex.z-dn.net/?f=%282-3%29%5E2%2B%284-1%29%5E2%3D10)
![1+9=10](https://tex.z-dn.net/?f=1%2B9%3D10)
This is also true.
The correct answer is C
Answer:
it's just 4
Step-by-step explanation:
;))))))) dhbdjcxhvjcdjb
Answer:
The probability of rolling an answer less than 5 is 66.7 percent
Step-by-step explanation:
Answer: Yes, they are mutually exclusive. You cannot have 2+ heads and 0 heads at the same time. They are not independent. The result of 2+ heads nullifies the chance that 0 heads are flipped!