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.
Answer:
c = 5n
Step-by-step explanation:
each notebook is 5 dollars. so we multiply each notebook Carmen buys by 5 to find what she has to pay in total.
it's like if you eat 2 chocolates, and each contain 100 calories, you would be eating 200 calories total. the equation for that scenario would use the same logic:
totalCalories = 100*numberOfChocolates
since 100 is the number of calories in 1 chocolate.
10-1.75 = 0.65x
9.25 =0.65x
9.25/0.65=x
then simplify or find the exact solution
Answer:
3
Step-by-step explanation:
Using the work rate formula (1/Holly's time) + (1/Jasper's time which is twice of Holly's time) = 1/ Total time taken by both
That is finding the least common multiplier of 12 and 8, and that is 24:
1/12 = 2/24
3/8 = 9/24