Answer:
3 cm
Step-by-step explanation:
Just subtract 9 – 6 to find the radius of the shaded region.
I think it’s “A horizontal line....”
Answer:
2
Step-by-step explanation:
2x+2=?x+13
Let x=2
2x+2=2x+13
Subtract 2x from each side
2 =13
This is never true so there is no solution
Answer:
wher is question
Step-by-step explanation:
Answer:
<h2>The value of D is 6 and the value of F is -26.</h2>
Step-by-step explanation:
Givens
- The center of the circle is at (1, -3), and its radius is 6 units.
The best way to find the general form of the circle, it's to use the center-radius form
![(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)
In this case,
,
and
. Replacing all these values in the formula, we have
![(x-1)^{2}+(y+3)^{2}=6^{2}](https://tex.z-dn.net/?f=%28x-1%29%5E%7B2%7D%2B%28y%2B3%29%5E%7B2%7D%3D6%5E%7B2%7D)
Now, we solve each power
![x^{2} -2x+1+y^{2} +6y+9=36\\x^{2} +y^{2} -2x+6y+10-36=0\\x^{2} +y^{2} -2x+6y-26=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-2x%2B1%2By%5E%7B2%7D%20%2B6y%2B9%3D36%5C%5Cx%5E%7B2%7D%20%2By%5E%7B2%7D%20-2x%2B6y%2B10-36%3D0%5C%5Cx%5E%7B2%7D%20%2By%5E%7B2%7D%20-2x%2B6y-26%3D0)
Where:
![C=-2\\D=6\\E=-26](https://tex.z-dn.net/?f=C%3D-2%5C%5CD%3D6%5C%5CE%3D-26)
However, Ben wrote the expression with F as the constant. So,
![E=F=-26](https://tex.z-dn.net/?f=E%3DF%3D-26)
Therefore, the value of D is 6 and the value of F is -26.