Answer:
the line is making a kite like shape
the real square root of 0.0009 is 0.03
The function
... y = 1/x
has derivative
... y' = -1/x²
which has no zeros. It is undefined at x=0, the only critical point. The derivative is negative for all values of x, so the function is decreasing everywhere in its domain.
Your function
... y = (x+1)/(x-3)
can be written as
... y = 1 +4/(x-3)
which is a version of y = 1/x that has been vertically scaled by a factor of 4, then shifted 1 unit up and 3 units to the right. Shifting the function to the right means x=3 is excluded from the domain (and the interval on which the function is decreasing).
The critical point is x=3.
The function is decreasing on (-∞, 3) ∪ (3, ∞), increasing nowhere.
A)
original rectangle P = 2(w+l)
so
18 = 2(w+l) (1)
new rectangle
doubling width w, so its 2w
tripling length l, so its 3l
46 = 2(2w + 3l) (2)
now you have
18 = 2(w+l) (1)
9 = w + l so w = 9 - l
46 = 2(2w + 3l) (2)
23 = 2w + 3l
substitute w = 9 - l into 23 = 2w + 3l
23 = 2w + 3l
23 = 2(9 - l) + 3l
23 = 18 - 2l + 3 l
23 - 18 = l
5 = l or l = 5
w = 9 - l = 9 - 5 = 4
answer
original rectangle, length = 5 in and width = 4 in
b)new rectangle
length = 3l = 3(5) = 15 in
width = 2w = 2(4) = 8 in
No because the x and y axis are not suppose to be the same