Answer:
Option C
Step-by-step explanation:
Circumference of a circle is:

r - radius
We are given the radius of 3 inches.

Option C should be the correct answer.
Hope this helps!
QUESTION 1
The given system of equations are:


We equate the two equations to get:




When x=0,

The solution is (0,1)
QUESTION 2
The given equations are:

and

We equate both equations to get:

Group similar terms,



We put x=0 into any of the equations to find y.

The solution is (0,-1).
QUESTION 3
The given equations are:

and

We equate both equations:

Group similar terms:


This is not true.
Hence the system has no solution.
The third option would be the incorrect one
L'Hopital rule only applies to indeterminate cases of 0/0 or ∞/∞ or 0*0 or ∞ * ∞.
and you'd need to make the expression a rational, where the numerator and denominator gives you 0/0 or ∞/∞, then you apply L'Hopital.
the only candidate there is
Answer: the lengths are 20 feet, 23 feet and 37 feet
Step-by-step explanation:
Let x represent the length of the shorter side of the triangular deck.
The second side of a triangular deck is 3 feet longer than the shortest side. This means that the length of the second side is (x + 3) feet.
The third side is 3 feet shorter than twice the length of the shortest side. This means that the length of the third of the triangle is (2x - 3) feet.
If the perimeter of the deck is 80 feet, it means that
x + x + 3 + 2x - 3 = 80
4x = 80
x = 80/4
x = 20
The length of the second side is
20 + 3 = 23 feet
The length of the third side is
20 × 2 - 3 = 40 - 3 = 37 feet