Find the center and radius of the circle with equation (x + 9)^2 + (y + 5)^2 = 64

Step-by-step explanation:

The standard form of a circle is

with the really important part being the x- and the y-. If our first set of parenthesis is

, by the definition of the standard form of a circle, it actually is

which is obviously negative (that's the h of the center of the circle);

If our second set of parenthesis is

, by the definition of the standard form of a circle, it actually is

which is obviously negative (that's the k of the center of the circle). The radius is the square root of the constant on the right, 64. The square root of 64 is 8, so

Center (-9, -5), radius 8

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)