Answer:
Step-by-step explanation:
We can complete the squares of the x- and y-terms by adding the square of half the linear term coefficient.
(x^2 +4x) +(y^2 -10y) = 7
(x^2 +4x +4) +(y^2 -10x +25) = 7 + 4 + 25
(x +2)^2 +(y -5)^2 = 6^2
Compare to ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . standard form equation of a circle
We see that the center is ...
(h, k) = (-2, 5)
and the radius is ...
r = 6
Answer:
B
Step-by-step explanation:
It binomial experiment, random variable r represents the number of successes in n number of trials.
This is because 100% is the same as 1. You can’t have more than a 100% chance of something happening. 100% means there is no chance it won’t happen, so you can’t go higher.
You also can’t have a negative probability. 0, or 0%, means there is absolutely no chance it will happen.
So, you have to have a probability between “not a chance it will happen” (0) and “not a chance it won’t happen” (1).
Let the length of the northern side be x and length of the west sides be y. The cost of fence is:
C=10x+10y+5y
and the area enclosed be A=xy
10x+15y=4000
x=400-1.5y
A=400y-1.5y^2
A is maximized when y=400/3 and x=200
