Question 7
Ben writes the equation of the circle with center (1, -3) and radius 6 in the form
Ar? + Bxy + Cy2 + Dx + Ey + F= 0 . His value of A is 1. What are his values of D and F?

Step-by-step explanation:

Givens

The best way to find the general form of the circle, it's to use the center-radius form

In this case, , and . Replacing all these values in the formula, we have

Now, we solve each power

Where:

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

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

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh