For any circle with Cartesian equation
![(x-a)^2 + (y-b)^2 = r^2](https://tex.z-dn.net/?f=%28x-a%29%5E2%20%2B%20%28y-b%29%5E2%20%3D%20r%5E2)
,
we have that the centre of the circle is
![(a,b)](https://tex.z-dn.net/?f=%28a%2Cb%29)
, and the radius of the circle is
![r](https://tex.z-dn.net/?f=r)
.
So in the case that
![(x-5)^2 + y^2 = 38](https://tex.z-dn.net/?f=%28x-5%29%5E2%20%2B%20y%5E2%20%3D%2038)
,
we essentially have that
![a = 5, b = 0, r^2 = 38](https://tex.z-dn.net/?f=a%20%3D%205%2C%20b%20%3D%200%2C%20r%5E2%20%3D%2038)
.
So the centre of the circle is
![(5,0)](https://tex.z-dn.net/?f=%285%2C0%29)
, and the radius is
![\sqrt{38}](https://tex.z-dn.net/?f=%5Csqrt%7B38%7D)
.
Answer:
the answer is that he would have to win 7 games in a row to get 75%
Step-by-step explanation:
It is B. simple random sample
Answer:
can be written as
which is into the form
.
Step-by-step explanation:
Considering the expression
![y=89.99+36.55\left(x-1\right)](https://tex.z-dn.net/?f=y%3D89.99%2B36.55%5Cleft%28x-1%5Cright%29)
![y\:=89.99+36.55x-36.55](https://tex.z-dn.net/?f=y%5C%3A%3D89.99%2B36.55x-36.55)
![y=36.55x+53.44](https://tex.z-dn.net/?f=y%3D36.55x%2B53.44)
writing into the form of the equation
![y=ax+b](https://tex.z-dn.net/?f=y%3Dax%2Bb)
so
![y=36.55x+53.44](https://tex.z-dn.net/?f=y%3D36.55x%2B53.44)
Here:
Therefore,
can be written as
which is into the form
.