Answer:
O : (-3,-4.5)
Step-by-step explanation:
center of circle: O (x.y)
Radius (r) = OA = OB = OC
r² = (x - (-1))² + (y - (-2))² ---- OA²
r² = (x - (-5))² + (y - (-2))² ---- OB²
r² = (x - (-1))² + (y - (-7))² ---- OC²
OA²=OB² : (x - (-1))² + (y - (-2))² = (x - (-5))² + (y - (-2))²
(x+1)² - (x+5)² = 0 x²+2x+1-x²-10x-25 = 0
8x = -24
x = -3
OA² = OC² (x - (-1))² + (y - (-2))² = (x - (-1))² + (y - (-7))²
y²+4y+4 = y² +14y +49
10y = -45
y = - 4.5
O : (-3,-4.5)
Answer:
2 2/3
Step-by-step Explanation:
You can make the 8 1/3 a fraction by making the whole number 8 into a fraction by putting 8 as the numerator and 1 as the denomenator and then multiply 8/1 by 1/3 to get 8/3. You can then simplify this even further by making this improper fraction into an mixed fraction. 3 goes into 8, 2 times with a remainder of 2. You then write the remainder as 2 over 3 to make the fraction 2/3. This then comes out to be 2 2/3.
8/1 • 2/3 = 8/3
8/3 = 2 2/3
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