Answer:
The radius is r=5 units
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to
![(x-h)^{2}+(y-k)^{2}=r^{2}](https://tex.z-dn.net/?f=%28x-h%29%5E%7B2%7D%2B%28y-k%29%5E%7B2%7D%3Dr%5E%7B2%7D)
where
(h,k) is the center and r is the radius
we have
![x^{2}+y^{2}-12x+6y+20=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%2By%5E%7B2%7D-12x%2B6y%2B20%3D0)
Convert to standard form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
![(x^{2}-12x)+(y^{2}+6y)=-20](https://tex.z-dn.net/?f=%28x%5E%7B2%7D-12x%29%2B%28y%5E%7B2%7D%2B6y%29%3D-20)
Complete the square twice. Remember to balance the equation by adding the same constants to each side
![(x^{2}-12x+36)+(y^{2}+6y+9)=-20+36+9](https://tex.z-dn.net/?f=%28x%5E%7B2%7D-12x%2B36%29%2B%28y%5E%7B2%7D%2B6y%2B9%29%3D-20%2B36%2B9)
![(x^{2}-12x+36)+(y^{2}+6y+9)=25](https://tex.z-dn.net/?f=%28x%5E%7B2%7D-12x%2B36%29%2B%28y%5E%7B2%7D%2B6y%2B9%29%3D25)
Rewrite as perfect squares
![(x-6)^{2}+(y+3)^{2}=5^{2}](https://tex.z-dn.net/?f=%28x-6%29%5E%7B2%7D%2B%28y%2B3%29%5E%7B2%7D%3D5%5E%7B2%7D)
therefore
The center is the point (6,-3) and the radius is r=5 units
Just do the freaking steps its way to easy to just give you the whole problem
Answer:
-397 -9x
Step-by-step explanation:
(913-892 +3)
(21+3) - (421+9x)
(24) -421 -9x
-397 -9x
Answer:
2 1/4
Step-by-step explanation:
1/3 = 3/4
3/4 ÷ 3 = 1/4
1/3 ÷ 3 = 1/9
1/9 recipe with 1/4 flour
1/9 x 9 = 9/9 = 1
1/4 x 9 = 9/4 = 2 1/4
for a recipe, it will need 2 1/4 cups of flour