X^2+y^2 = 16
can be written as
(x-0)^2+(y-0)^2 = 4^2
We see that the second equation is in the form
(x-h)^2 + (y-k)^2 = r^2
where
(h,k) = (0,0) is the center
r = 4 is the radius
The polar form of the equation is simply r = 4. Why is this? Because the radius is fixed to be 4 no matter what happens with theta. As theta goes from 0 to 360, the points generated all form a circle centered at (0,0) with radius 4.
Answer: r = 4
The value of k is 400 points.
If the player fails to complete 100 tasks, then they lost 200 points. At the end of the game, they had 200 points.
We can write and solve the following equation to determine where they started.
x - 200 = 200
x = 400
<span>The train will need 5 hours to reach Tennessee</span>
