Answer:
Step-by-step explanation:
From that equation we know the center is: (1,-1) and the radius is three. Since the distance from the center to (0,0) is:
d^2=1^2+1^2
d^2=2
d=√2
Since d<r, √2<3, the circle intersects the y-axis two times.
So the statement saying that the circle intersects the y-axis is true.
Answer:
1440 different arrangements are possible.
Step-by-step explanation:
Number of arrangements of n elements:
The number of arrangements of n elements is given by:
![A_{n} = n!](https://tex.z-dn.net/?f=A_%7Bn%7D%20%3D%20n%21)
In this question:
6 couples, in which each can be positioned in 2 ways(him/her or her/him). So
![T = 2A_{6} = 2*6! = 1440](https://tex.z-dn.net/?f=T%20%3D%202A_%7B6%7D%20%3D%202%2A6%21%20%3D%201440)
1440 different arrangements are possible.
Answer:
$13,350
Step-by-step explanation:
221900-195200=26700
Divide your answer by the 2 years its changed and you get the rate of change annually.