Question

Question 7

Answer 1

Answer:

The value of D is 6 and the value of F is -26.

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

$(x-h)^{2}+(y-k)^{2}=r^{2}$

In this case, $h=1$, $k=-3$ and $r=6$. Replacing all these values in the formula, we have

$(x-1)^{2}+(y+3)^{2}=6^{2}$

Now, we solve each power

$x^{2} -2x+1+y^{2} +6y+9=36\\x^{2} +y^{2} -2x+6y+10-36=0\\x^{2} +y^{2} -2x+6y-26=0$

Where:

$C=-2\\D=6\\E=-26$

However, Ben wrote the expression with F as the constant. So,

$E=F=-26$

Therefore, the value of D is 6 and the value of F is -26.