Answer:
45.3 mm
Step-by-step explanation:
Use the basic 45-45-90 triangle with side length 1 as the building block here. If the length of one side is 1, then the perimeter is 1 + 1 + 1 + 1, or 4, and the length of the diagonal is √2.
We are told that the length of the diagonal of the given square is 16 m.
Determine the length of one side of this square, using an equation of proportions:
16 x
------ = -------
√2 1
16
Then (√2)x = 16, and x = -----------
√2
The perimeter of the given square (with diagonal 16 mm) is 4 times the side length found above, or:
16 16
4 ---------- = (2)(2) ----------- = (2)(√2)(16) = 32√2 (all measurements in mm)
√2 √2
This perimeter, rounded to the nearest tenth, is 45.3 mm.
Answer:
Yes, Rolle's theorem can be applied
There is only one value of c such that f'(c) = 0, and this is c = 1.5 (or 3/2 in fraction form)
Step-by-step explanation:
Yes, Rolle's theorem can be applied on this function because the function is continuous in the closed interval (it is a polynomial function) and differentiable in the open interval, and f(a) = f(b) given that:

Then there must be a c in the open interval for which f'(c) =0
In order to find "c", we derive the function and evaluate it at "c", making the derivative equal zero, to solve for c:

There is a unique answer for c, and that is c = 1.5
y = -1/2 + 1 is the y=mx + b equation
Easiest method you can apply (Cramer's one). <em>"</em><em>Thanks</em><em> </em><em>me</em><em>"</em><em> </em>if i've been helpful
Answer:
M=-3
Step-by-step explanation:
Slope:
y2-y1/x2-x1
-3-3/1+1=6/-2=-3