Vertical asypmtotes are line of the form , where k is a point not in the domain of the function.
Since the definition of the cotangent function is
The function is not defined where the denominator is zero, i.e.
So, every line with equation is a vertical asymptote for the cotangent function. Some examples may be
No one knows how many numbers there are of pi. This is because pi goes on FOREVER and EVER. It NEVER stops it is a never ending number. So, when working in math we usually round it down to 3.14. When ever solving for pi the equal sign is always like ≈ because this means equal to since we don't know the really amount of numbers in pi.
Hope I helped ya!!
Answer:
The first one is D, and the second one is also D
Step-by-step explanation:
Answer:
1st piece = Piece A = 5 inches
2nd piece = Piece B = 10 inches
Third Piece = Piece C = 27 inches
Step-by-step explanation:
A 42-inch piece of steel is cut into 3 pieces
Let the lengths be represented as:
1st piece = Piece A
2nd piece = Piece B
Third Piece = Piece C
Hence:
A + B + C = 42
The 2nd piece is twice as long as the 1st piece
B = 2A
The 3rd piece is 2 inches more than 5 times the length of the first piece.
C = 5A + 2
Hence: we substitute
A + B + C = 42 inches
A + 2A + 5A + 2 = 42 inches
8A = 42 - 2
8A = 40 inches
A = 40 inches/8
A = 5 inches
Solving for B
B = 2A
B = 2 × 5 inches
B = 10 inches
Solving for C
C = 5A + 2
C = 5 × 5 + 2
C = 25 + 2
C = 27 inches
Therefore, the lengths of the 3 pieces =
1st piece = Piece A = 5 inches
2nd piece = Piece B = 10 inches
Third Piece = Piece C = 27 inches
X^2 = b^2-c^2
x^2= sqrt117^2-6^2
x^2=sqrt117×sqrt117-36
x^2=117-36
x^2=81
x=sqrt81
x=9cm