For a better understanding of the answer given here, please go through the diagram in the attached file.
The diagram assumes that the base of the hexagonal pyramid is an exact fit (has same dimensions as the face of the hexagonal prism).
As can be seen from the diagram, the common vertices are A,B,C,D,E,F which are 6 in number.
The bottom vertices are G,H,I,J,K,L, which, again are 6 in number.
The Apex of the pyramid, P is one more vertex.
Thus, the total number of vertices in a Hexagonal pyramid is located on top of a hexagonal prism will be the sum of all these vertices and thus will be:
6+6+1=13
Answer:
Step-by-step explanation:
Sample space = {1, 2 , 3 , 4 , 5, 6, 7, 8, 9, 10}
100% = 70
1% = .7 (divide by 100)
12% = 8.4 (Multiply 1% by 12)
70 - 8.4 = 61.6 (New Price)
Hope this helped! Got any questions just ask!
9514 1404 393
Answer:
A. 2x^2 +4
B. 5x^3 -4x^2 +3x -12
C. addition and subtraction of polynomials result in polynomials (closed)
Step-by-step explanation:
A. The total of the two side lengths is ...
(3x^2 -4x -1) +(-x^2 +4x +5) = (3 -1)x^2 +(-4+4)x +(-1+5) = 2x^2 +4
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B. The length of the third side is the difference between the total for all three sides and the total for the given two sides:
(5x^3 -2x^2 +3x -8) - (2x^2 +4) = 5x^3 +(-2-2)x^2 +3x +(-8-4)
= 5x^3 -4x^2 +3x -12
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C. Addition of the two polynomials results in a polynomial. Subtraction of the two polynomials results in a polynomial. There is nothing here to indicate the set of polynomials is not closed under addition and subtraction.
Answer:
A. (5, 3)
Step-by-step explanation:
Making use of the hint:
x -2 = 3
x = 5 . . . . . . add 2
The point (x, 3) is on the graph for x=3.
The point (x-2, 3) is on the graph for x=5, so ...
the graph of (x, f(x-2)) will include the point (5, 3).
