Formula-
If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}
Symbol that can be used-
The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".
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Answer:
3x-6
Step-by-step explanation:
In this problem the domain is determined by the denominator alone. The denom. must NOT be zero. Thus, set the denom. 5x + 6 = 0 and solve for x. This x will be the only value that x may not have. Find the domain of this 5x + 6; your result will also be the domain of the entire given function f/g.
Length of one side of the rhombus is 10.
If there is a rhombus EFGH, such as yours, with points E, F, G, H (such as in the .jpeg image in attachment), and if the notation of rhombus side is a (rhombus has 4 sides and each of them is of the same length):
FH/2 = 12/2 = 6 (shorter diagonal of rhombus, it's half)
EG/2 = 16/2 = 8 (longer diagonal of rhombus, it's half)
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a^2 = (FH/2)^2 + (EG/2)^2
a^2 = 6^2 + 8^2
a^2 = 36 + 64
a^2 = 100
a = square root of 100
a = 10