Answer:
Lets a,b be elements of G. since G/K is abelian, then there exists k ∈ K such that ab * k = ba (because the class of ab,
is equal to
, thus ab and ba are equal or you can obtain one from the other by multiplying by an element of K.
Since K is a subgroup of H, then k ∈ H. This means that you can obtain ba from ab by multiplying by an element of H, k. Thus,
. Since a and b were generic elements of H, then H/G is abelian.
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Answer:
Eliminating the parameter, the equation is 
Step-by-step explanation:
We are given the following parametric equations:


We want to eliminate the parameter t. From the first equation:


Replacing in the second equation:


Eliminating the parameter, the equation is 