Answer:
I believe the answer is B. 4n+5
Answer:
x=-y/3
y=-3x
Step-by-step explanation:
dy/dx=4x-y means 4x-y=0
dy/dx=x-2y also means x-2y=0 then
4x-y=x-2y
3x=-y
y=-3x
x=-y/3
Multiply numerators (top numbers)
multiply denominators (bottom numbers)
first one:
(1/3)*(1/3) = 1/9
second one:
(1/4)*(1/2) = 1/8
third one:
(3/4)*(1/3) = 3/12 simplified = 1/4
drag correct circle to box. first circle is not a solution. it is extra
Step-by-step explanation:
To figure out the variance, subtract 82.5 from the mean, which is 5.5 and then divide by N, which is the value of numbers, (in this case 10) minus 1. The result is a variance of about 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.Calculate the mean.
Subtract the mean from each observation.
Square each of the resulting observations.
Add these squared results together.
Divide this total by the number of observations (variance, S2).
Use the positive square root (standard deviation, S).
Answer:
length = 31 ft
width = 19 ft
Explanation:
Assume that the width of the rectangle is w.
We are given that the length is 12 ft more than the width. This means that the length of the rectangle is w + 12
The perimeter of the rectangle in this case would be:
perimeter = 2 (length + width)
perimeter = 2 (12 + w + w)
perimeter = 24 + 4w
Assume that Dan would use all 100 ft of fencing to surround the yard. This would mean that the largest perimeter is 100 ft.
Therefore:
perimeter = 24 + 4w
100 = 24 + 4w
4w = 100 - 24
4w = 76
w = 19 ft
Since we have calculated that the width of the yard is 19 ft, we can substitute to get the length as follows:
length = 12 + w
length = 12 + 19
length = 31 ft
Hope this helps :)