X^2+y^2-8x+4y+4=0 can be written as (<span>x- 4)² + (y+2)²-16-4+4=0, or
</span> (<span>x- 4)² + (y+2)²=16, this is not a an equation of parabola, it is a circle's
</span>its center is (4, -2) and its radius r=4
Answer:
Mean
Step-by-step explanation:
The mean is usually used when the dot plots, or histograms, are symmetrical and have no outliers.
A typical plot of the standard normal distribution is shown in the figure below.
The curve is symmetric about z = 0, and the total area under the curve is 1.
It follows that if the value of z is negative, the area to the left of z will be less than 0.5.
Answer: The area to the left of z is less than 0.5000
cows = y
pigs = y + 6
goats = 4(y+6) = 4y+ 24
sheep = 2/3 * (4y + 24) = 8/3y + 16
sol.
total
= y+y+6+4y+24+8/3y+16
=26/3y + 46
sheep = 112 = 8/3 y + 16
8/3y = 112-16
y= (112 - 16)*3/8
y = 36
then substitute y with 36 in the total equation so yeah...
36+36+6+4(36)+24+8/3(36)+16
=358 animals
Answer:
(r^2 - r - 1)(r^2 + r - 1).
Step-by-step explanation:
r^4 - 3r^2 + 1
We need to make this into a perfect square so the r^4 and the 1 fit the bill but not the -3r^2 so we have to correct for that.
A perfect square would be:
r^4 - 2r^2 + 1 ( = (r^2 - 1)^2 )
But we need -3r^2 so we add - r^2 at the end:
= (r^4 - 2r^2 + 1) - r^2 So now we have the difference of 2 squares and we write:
(r^2 - 1)^2 - r^2
= (r^2 - 1 - r)(r^2 - 1 + r)
= (r^2 - r - 1)(r^2 + r - 1)
