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)
For the problem in the upper left corner, see "figure 1"
For the problem in the upper right corner, see "figure 2"
For the problem in the lower left corner, see "figure 3"
For the problem in the lower right corner, see "figure 4"
Answer:
Step-by-step explanation:
the displacement of the particle is given by

The rate of change of position gives the value of velocity.
So, v = ds/dt
Differentiate the position function with respect to time.

Now, at t = a
v = -18/a³ m/s
At t = 1
v = - 18 m/s
At t = 2
v = - 18 / 8 = - 2.25 m/s
At t = 3
v = - 18 / 27 = 0.67 m/s
Answer:
~x2 − 4x + 4; ~x2 + 10x + 25
Step-by-step explanation:
hope this helps please make brainliest
Answer:
5
Step-by-step explanation:
We can find the slope of a line given two points by using the following formula
m = ( y2-y1)/(x2-x1)
= (4- -6)/(-2 - -4)
= ( 4+6)/(-2+4)
= 10/2
= 5