C.)
The number of participants in the band decreased from october to november
Maybe three units is the answer
Answer:
d ≈ 6.41
Step-by-step explanation:
Given that F is inversely proportional to d² then the equation relating them is
F = ← k is the constant of proportion
To find k use the condition when F = 8, d = 6 , then
8 = = ( multiply both sides by 36 )
288 = k
F = ← equation of proportion
When F = 7 , then
7 = ( multiply both sides by d² )
d² × 7 = 288 ( divide both sides by 7 )
d² = ( take the square root of both sides )
d = ± ≈ ± 6.41
The positive value of d is 6.41 ( to 2 dec. places )
The general equation of the circle is:
(x -xo)^2 + (y - yo)^2 = r^2
Where xo,yo are the coordinates of the center and r is the radius of the circle.
Here (xo,yo) is (-16,30) and you can find the radius.
You can find the radius using the equation of the distance (Pythagoras) between the center (-16,30) and any point on the circunference. Here use (0,0)
r^2 = (-16 - 0)^2 + (30 - 0)^2 = 1156
Then, the equation is>
(x - (-16) )^2 + (y - 30)^2 = 1156
=> (x + 16)^2 + (y - 30)^2 = 1156. <----- answer