Answer:
6*132n
Step-by-step explanation:
Answer:
A y = 1,000(1.15)6; 2,313 bacteria
Step-by-step explanation:
The length of the line joining the center of the circle and each coordinate is equal.
Let the center of the circle be (a, b), then
(a - 10)^2 + (b - 3)^2 = (a - 3)^2 + (b - 10)^2 = (a + 4)^2 + (b - 3)^2
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 = a^2 + 8a + 16 + b^2 - 6b + 9
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 - 6a + 9 + b^2 - 20b + 100 . . . (1)
a^2 - 20a + 100 + b^2 - 6b + 9 = a^2 + 8a + 16 + b^2 - 6b + 9 . . . (2)
From (1): 14a - 14b = 0 => a = b
From (2): 28a = 84 => a = 84/28 = 3
Therefore, center = (a, b) = (3, 3)
set up the proportion, cross multiply, and solve for the missing length.
![\frac{BA}{BE} = \frac{DC}{DE}](https://tex.z-dn.net/?f=%5Cfrac%7BBA%7D%7BBE%7D%20%3D%20%5Cfrac%7BDC%7D%7BDE%7D)
![\frac{6}{3} = \frac{9}{DE}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B3%7D%20%3D%20%5Cfrac%7B9%7D%7BDE%7D)
6(DE) = 3(9)
DE = ![\frac{3(9)}{6} = \frac{9}{2} = 4.5](https://tex.z-dn.net/?f=%5Cfrac%7B3%289%29%7D%7B6%7D%20%3D%20%5Cfrac%7B9%7D%7B2%7D%20%3D%204.5)
Answer: 4.5
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