Answer:
The equation of the circle is (x -8)² + (y -4)² = 184.96
Step-by-step explanation:
In order to determine the equation of this circle we first need to calculate the coordinates of the center, which are given by the difference of the coordinates divided by two. We have:
Xc = [13 - (-3)]/2 = (13 + 3)/2 = 16/2 = 8
Yc = (11 - 3)/2 = 8/2 = 4
Therefore the center is (8,4). We now need to find the radius of the circle, which is given by the distance from the center to one of the points given:
r = sqrt{[8 - (-3)]² + (11 - 3)²} = sqrt(11² + 8²) = 13.60
The equation of a circle is given by:
(x - Xc)² + (y - Yc)² = r²
(x -8)² + (y -4)² = (13.6)²
(x -8)² + (y -4)² = 184.96
There are twelve inches in a foot. So therefore 3 feet is 36 inches. So your fraction is 8/36, which can be simplified to 2/9.
Answer:
y = 20
x = 120
Step-by-step explanation:
2x + 3y = 300
3x + 5y = 460
mutliply eqn 1 by 3 and 2 by 2
6x + 9y = 900
6x + 10y = 920
y = 20
x =
D. becuase i know history
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Answer:
1/12
Step-by-step explanation:
1/6 of 1/2 is ...
Each lane represents 1/12 of the lake.