<span>Center:(-4,6)
The center of a circle is a point from which all points on a circle are the same distance.Radius:8
The radius of a circle is the length of a line segment from its center to its perimeter.
The radius is typically denoted as "r" or "R".Diameter:16
The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the longest chord of the circle.Circumference or (or Permieter) = 2*π*R = 2*3.14*8 = 50.2654824574367
The circumference of a circle is the distance around it.Area:201.061929829747
Area of a Circle is the amount of space occupied by the circle.The area of a circle is p times the radius squared, which is written: A = π*R2.</span>EquationStandard Form
The standard form for the equation oif a circle is
(x-a)2+(y-b)2=r2
And in our particular case:
(x--4)2+(y-6)2=82
(x+4)2+(y-6)2=82
(x+4)2+(y-6)2=64
General Form
The general form for the equation of a circle is
x2 + y2 + Ax + By + c = 0
We can get the general form by expanding the equation of the standard form
(x-a)2+(y-b)2=r2
(x--4)2+(y-6)2=82
(x+4)2+(y-6)2=64
x2+8x+16+y2-12y+36=64
x2+y2+8x-12y-12=0
Answer: 55.668 grams
General equation of exponential decay/growth:
N = Noe^(kt)
50 = 100e^(710k)
.5 = e^(710k)
ln(.5) = 710k
ln(.5)/710 = k
Therefore, our equation is now:
N = 100e^((ln(.5)/710)t)
Now, we substitute t with 600:
N = 100e^(ln(.5)/710)600
N = 100e^(-.585758)
N = 100(.556684)
N = 55.668 grams
Answer:
C
Step-by-step explanation:
There would be 49 gifts on display because 1+3+5+7+9+11+13=49
