Note that the equation of the circle is
(x-h)² +(y-k)² =r²
where centre is (h,k)
the equation of the circle based on the information given
(x-3)² +(y-4)² =r²
and the point on the circle (3,-2)
substitute into the equation
(3-3)² +(-2-4)² =r²
r=6 or r=-6
since r is radius, we reject r=-6 since radius must be nonnegative.
the radius is 6
Answer:
C
Step-by-step explanation:
Volume = bhd
Volume = (x + 3)(x + 8)(x²)
start with (x + 3) and (x + 8), factor:
x² + 8x + 3x + 24
x² + 11x + 24
now bring x² back:
(x² + 11x + 24)(x²)
x⁴ + 11x³ + 24x²
Answer:
0.1111
Step-by-step explanation:
Given that you roll two dice.
the average of the high and low roll is exactly 3,
Since die can show only 1 to 6 we can say average can be 3 in each of the following case.
(1,5) (2,4) (3,3) (4,2) (5,1)
There cannot be any other combination to get average of 3.
Thus favourable events = 4
Sample space will have
(1,1)...(1,6)
(2,1)....
(6,1)...(6,6) i.e. 36
So probability that the average of the high and low roll is exactly 3
=
Answer: The maximum revenue is $7482 . To get a maximum yield , The number of trees per acre needed is 43.
Step-by-step explanation:
Solution:
Let x represent the extra tree
So for an additional tree the yield of each tree will decrease by 4 bushels.
(80 +x)(26-4x) by expanding
2080 - 320x +26x -4x^2
Using x= -b/2a
X= 294/ -8
X= - 36.75
So apparently he currently has far too many trees per acre. To get the maximum yield , she needs to reduce the number of trees per acre by 36.75
So the number of trees per acre for maximum yield is
80-36.75
=43.25
Approximately x=43
So by reducing he get extra bushel in the tune of 174.
Total revenue= 174 ×43× 1$
=$7482
Answer:
Step-by-step explanation:
accaaaa aaccaaa aaaccaa aaaacca there is a couple more hope this helps