We are given the diameter of the circle. By definition, the diameter goes through the circle right at its center. We can use the midpoint formula to find the center of the diameter which will give us the center of our circle.
which simplifies to
which gives us the midpoint
M = (-10, 1) That's the h and k of our center. We will use that along with one of the given points to solve for r. Plugging into the standard form of a circle (which I'm assuming you know):
and
so
Now we'll use that with the center we found and write the equation:
When surface area is minimized, that means the less material companies would have to use for the can. Companies can spend less money on aluminum for the can and still hold the same amount of that beverage inside the can.
A = Anthony's weight B = Anthony's brother's weight
A = 2B + 9 Plug in Anthony's weight 59 = 2B + 9 Subtract 9 from both sides 50 = 2B DIvide both sides by B 25 = B Switch the sides to make it easier to read B = 25