Suppose that a and b are integers, such that: а ≡ 4 (mod 13); b ≡ 9 (mod 13) The integer c, 0 ≤ c ≤ 12 and such that c ≡ a + b (mod 13), equals to:
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The integer c, 0 ≤ c ≤ 12 and such that c ≡ a + b (mod 13), equals to: Show more…
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Suppose that a and b are integers, a ≡ 4 (mod 13), and b ≡ 9 (mod 13). Find the integer c with 0 ≤ c ≤ 12 such that: a) c ≡ 9a (mod 13). b) c ≡ 11b (mod 13). c) c ≡ a + b (mod 13). d) c ≡ a^2 + b^2 (mod 13). e) c ≡ a^3 − b^3 (mod 13).
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Suppose that $a$ and $b$ are integers, $a \equiv 4(\bmod 13),$ and $b \equiv 9(\bmod 13) .$ Find the integer $c$ with $0 \leq c \leq 12$ such that a) $c \equiv 9 a(\bmod 13)$ b) $c \equiv 11 b(\bmod 13)$ c) $c \equiv a+b(\bmod 13)$ d) $c \equiv 2 a+3 b(\bmod 13)$ e) $c \equiv a^{2}+b^{2}(\bmod 13)$ f) $c \equiv a^{3}-b^{3}(\bmod 13)$
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Suppose that $a$ and $b$ are integers, $a=4(\bmod 13)$, and $b=9(\bmod 13)$. Find the integer $c$ with $0 \leq c \leq 12$ such that a) $c=9 a(\bmod 13)$. b) $c \equiv 11 b(\bmod 13)$. c) $c=a+b(\bmod 13)$. d) $c=2 a+3 b(\bmod 13)$. e) $c=a^{2}+b^{2}(\bmod 13)$. f) $c=a^{3}-b^{3}(\bmod 13)$.
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