Answer:
or
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (5,7).
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (5,7) and (x,y) = (10,19) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(10 - (5))^2 + (19 - (7)^2 = r^2
(5)^2 + (12)^2 = r^2
25 + 144 = r^2
r^2 = 169
r = 13
The slope of AC is -0.4
Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)
Thus triangles ABC and DBE are similar in the ratio 2:1
Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)
If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4
(5x2) / 6x0
10 / 0
The answer is 0
