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:
a lot
Step-by-step explanation:
Answer:
11/24
Step-by-step explanation:
Just add 1/3 and 1/8 to get the answer. To add or subtract any pair of fractions they must have the same denominator. To change them, find the least common multiple of the two denominators (3 and 8). The least common multiple of 3 and 8 is 24. Now multiply the denominator by a number that’ll make it into the least common multiple. The 3 in 1/3 should be multiplied by 8 to make it into 24. The 8 in 1/8 should be multiplied by 3 to make into 24. The number that you use to multiply each denominator should also be used to multiply the numerator of that fraction. 1/3 for example, becomes 8/24. 1/8 becomes 3/24. Finally add the numerators of both numbers and keep the same denominator which equals 11/24.
Answer:
1.) 2.5 meters a second
Step-by-step explanation:
1 min 12 seconds is 72 seconds. 28 meters on 72 seconds. 28×2.5=72