Answer:
Center of the circle= (-9,6)
Radius = 5 units
Step-by-step explanation:
Once the equation of the circle has been written in the format
(x-h)²+(y-k)²=r² , (h,k) is the center while r is the radius of the circle.
From the given equation, -h=9 therefore h= -9.
-k = -6 therefore k = 6. r² = 25 therefore r= √25=5
Center of the circle= (-9,6) radius = 5 units
Answer:
Fifty four million, one hundred five thousand, five hundred
It's the first choice above. The center of the circle of the first choice is (-2, 6). In order to get from there to the center, you have to go right 2 and down 6, which are your given translations. None of the other translations bring the given centers to the origin. For example, the center of the second circle is (1, -2). In order to get from there to the center you have to go left 1 and up 2, but the translations they give are left 2 and DOWN 2, which is incorrect if you want to get to the origin. The only correct one is the first one.
Answer:
63°
Step-by-step explanation:
a = 27°
b = 180° - (a + 27°)
b = 180° - (27° + 27°)
b = 180° - 54°
b = 126°
By inscribed angle theorem:
c = 1/2 b = 1/2 * 126°
c = 63°