A. show that {a : 15a ≡ 18 (mod 24)} is not a subgroup of the group z24 (with operation +)
b....
Mathematics, 30.07.2019 18:20, emileewhitaker1373
A. show that {a : 15a ≡ 18 (mod 24)} is not a subgroup of the group z24 (with operation +)
b. let g = zm (the operation is addition) and let b be some number with 1 ≤ b < m. show that the cyclic subgroup h generated by b is all of g if and only if the least common multiple of b and m is bm, if and only if (b, m) = 1.
c. show that the subgroup of z consisting of all solutions x in z of ax ≡ 0 (mod m) is the cyclic subgroup rz where r = m/(a, m).
Answers: 3
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Asequence of numbers begins with 12 and progresses geometrically. each number is the previous number divided by 2. which value can be used as the common ratio in an explicit formula that represents the sequence? 1/2 2 6 12
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The construction of copying qpr is started below. the next step is to set the width of the compass to the length of ab. how does this step ensure that a new angle will be congruent to the original angle? by using compass take the measures of angle and draw the same arc according to it.
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