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)
Answer:
Step-by-step explanation:
First you need to find the mean of the set so 10+12+8+2=32/4=8
Mean=8
Then subtract the mean of each number and square the result
10-8=2^2=4
12-8=4^2=16
8-8=0^2=0
2-8=-6^2=36
new data set: 0,4,16,36
Next find the mean of this set of data
0+4+16+36=56/4=14 now take the square root of that mean
sqrt14=3.74
Hope this helps
If you are simplifying, add -8m^3 and 7m^3 to get -m^3 which gives you an answer of -m^3 + 9n.
hope i helped you today!
So,
To divide a fraction by a fraction, all you need to do is invert the second fraction and multiply the resulting fractions.
Step 1: Flip the second fraction.
Step 2: Multiply the fractions.
The answer to your question would be -120