Answer:
65 would be C
Step-by-step explanation:
it wants you to find out how much was spent after 11 visits. 10 dollars is used each time so 11 times 10 is 110. 306 minus 110 equals 196. you would choose C instead of B because the 10 is the one being multiplied, not 306.
306-10x; $196
The temperature would be about 54.
1 negative startroot 2 end root 1 start root 2 end root
Okaayyy
Set B has the greater mode
Answer:
Center: (-5,10)
Radius: 2
Step-by-step explanation:
The equation of the circle in center-radius form is:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
Where the point (h,k) is the center of the circle and "r" is the radius.
Subtract 121 from both sides of the equation:
![x^2+y^2+121-20y-121=-10x-121\\x^2+y^2-20y=-10x-121](https://tex.z-dn.net/?f=x%5E2%2By%5E2%2B121-20y-121%3D-10x-121%5C%5Cx%5E2%2By%5E2-20y%3D-10x-121)
Add 10x to both sides:
![x^2+y^2-20y+10x=-10x-121+10x\\x^2+y^2-20y+10x=-121](https://tex.z-dn.net/?f=x%5E2%2By%5E2-20y%2B10x%3D-10x-121%2B10x%5C%5Cx%5E2%2By%5E2-20y%2B10x%3D-121)
Make two groups for variable "x" and variable "y":
![(x^2+10x)+(y^2-20y)=-121](https://tex.z-dn.net/?f=%28x%5E2%2B10x%29%2B%28y%5E2-20y%29%3D-121)
Complete the square:
Add
inside the parentheses of "x".
Add
inside the parentheses of "y".
Add
and
to the right side of the equation.
Then:
![(x^2+10x+5^2)+(y^2-20y+10^2)=-121+5^2+10^2\\(x^2+10x+5^2)+(y^2-20y+10^2)=4](https://tex.z-dn.net/?f=%28x%5E2%2B10x%2B5%5E2%29%2B%28y%5E2-20y%2B10%5E2%29%3D-121%2B5%5E2%2B10%5E2%5C%5C%28x%5E2%2B10x%2B5%5E2%29%2B%28y%5E2-20y%2B10%5E2%29%3D4)
Rewriting, you get that the equation of the circle in center-radius form is:
![(x+5)^2+(y-10)^2=2^2](https://tex.z-dn.net/?f=%28x%2B5%29%5E2%2B%28y-10%29%5E2%3D2%5E2)
You can observe that the radius of the circle is:
![r=2](https://tex.z-dn.net/?f=r%3D2)
And the center is:
![(h,k)=(-5,10)](https://tex.z-dn.net/?f=%28h%2Ck%29%3D%28-5%2C10%29)