She needs 96 inches of lace because 4 x 24 is 96.
I got it wrong on khan academy and this is what it said....
In conclusion, point M represents a scenario where the mixture has the intended volume and has more than the intended percent of butterfat.
Answer:never give up
Step-by-step explanation:
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Answer:
The center is (-3,2) and the radius is r=2
Step-by-step explanation:
The general equation of the given circle is
![x^2+6x+y^2-4y=-9](https://tex.z-dn.net/?f=x%5E2%2B6x%2By%5E2-4y%3D-9)
Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;
![x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2](https://tex.z-dn.net/?f=x%5E2%2B6x%2B3%5E2%2By%5E2-4y%2B%28-2%29%5E2%3D-9%2B3%5E2%2B%28-2%29%5E2)
![x^2+6x+9+y^2-4y+4=-9+9+4](https://tex.z-dn.net/?f=x%5E2%2B6x%2B9%2By%5E2-4y%2B4%3D-9%2B9%2B4)
![x^2+6x+9+y^2-4y+4=4](https://tex.z-dn.net/?f=x%5E2%2B6x%2B9%2By%5E2-4y%2B4%3D4)
The quadratic trinomials in x and y on the left side of the equations are perfect squares.
We factor to obtain;
![(x+3)^2+(y-2)^2=4](https://tex.z-dn.net/?f=%28x%2B3%29%5E2%2B%28y-2%29%5E2%3D4)
![(x--3)^2+(y-2)^2=2^2](https://tex.z-dn.net/?f=%28x--3%29%5E2%2B%28y-2%29%5E2%3D2%5E2)
Comparing to:
![(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)
The center is (-3,2) and the radius is r=2
Factor r 4 t 4 out of 5 r 8 t 5 − 3 r 4 t 4 . r 4 t 4 ( 5 r 4 t − 3 )