Answer:
(x + 5)**2 + (y + 2)**2 = 25
Step-by-step explanation:
We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. The graph shows the center at (-5, -2), and the radius of 5. So plugging this in
(x - -5)**2 + (y - - 2)**2 = 5**2
(x + 5)**2 + (y + 2)**2 = 25
We have to answer what does the 15 represent in the function : f ( x ) = 15 * 2^x, which models the increasing of the frog population at a lake. We know that the frog population doubles every 3 weeks and that: f ( 6 ) = 960. It means that: 15 * 2^ 6 = 15 * 64 = 960. And also f ( 0 ) = 15 * 2^0 = 15 * 1 = 15. Therefore it is a starting population. Answer: The 15 represents <span>B - The starting population.</span>
We know that the Circumcenter is the intersection of a triangle's right (perpendicular) bisectors. Once you have found two of these you can determine their point of intersection.
It is a proven mathematical concept that the third perpendicular bisector will also cross through this intersection point. While it is not necessary to construct all three it is often done so to verify that the intersection of the first two perpendicular bisectors was in fact correct.
Slopt in form ax+by=c is -a/b
-3/3=-1
slope is -1
intercept in form ax+by=c is c/b
63/3=9
slope is -1
intercept is at y=9
