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:
As per the diagram, the triangles on the left and right are similar.
<u>The ratio of corresponding sides is equal:</u>
The height of the wall is 18 feet
Solve for c by simplifying both sides of the equation, then isolating the variable.
c < -1.45454545s + 109.09090909
answer:
2.78 dollars
step-by-step explanation:
hello there!
first we multiply 10 to $ 0.21 ( we got the number 10 from the extra 10 minutes after the first 4 minutes )
10 + $ 0.21
= 2.10 dollars
then we need to add $ 0.68 to $ 2.10 dollars
$ 0.68 + $ 2.10
= 2.78 dollars
2.78 dollars is how much it costs for a 13.44 minute call!
i hope this helps you and please tell if there was a mistake in this, have a wonderful day! <3
Answer:
x = -2
Step-by-step explanation:
6 + 3(10x-22)
3 * 10x = 30x
3 * -22 = -66
6 + 30x = -66
-66 + 6 = -60
30x = -60
-60/30 = -2
x = -2