Answer:
5 x^2 y (9 x y + 1)
Step-by-step explanation:
Factor the following:
45 x^3 y^2 + 5 x^2 y
Factor common terms out of 45 x^3 y^2 + 5 x^2 y.
Factor 5 x^2 y out of 45 x^3 y^2 + 5 x^2 y:
Answer: 5 x^2 y (9 x y + 1)
Answer: 1 1/5
Step-by-step explanation: 3/5 is the radius so you would times the radius by two to get the diameter which is 1 1/5.
Answer:
a. 6
b. 9
Step-by-step explanation:
a. The product modulo 7 can be found from the product of the individual numbers modulo 7:
(88·95·36·702) mod 7 = (88 mod 7)·(95 mod 7)·(36 mod 7)·(703 mod 7) mod 7
= (4·4·1·3) mod 7 = 48 mod 7 = 6
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b. Powers of 4 mod 11 repeat with period 5:
4 mod 11 = 4
4^2 mod 11 = 5
4^3 mod 11 = 9
4^4 mod 11 = 3
4^5 mod 11 = 1
So, 4^83 mod 11 = 4^3 mod 11 = 9
Answer:
g = -3
Step-by-step explanation:
10g-4(g-2)+11=1
1) 10g-4g+8+11=1 Combine like terms
2) 6g+8+11=1
3) 6g+19=1
4) 6g=-18 To continue the process of getting the variable by itself, we have to get rid of 19. So we are going to subtract 19 from 19 to get 0, and whatever we do to the other side, so we subtract 19 from 1 to get -18.
5)6g=-18 To get the variable by itself, instead of mutiplying, we will divide by 6 on both sides to get... g=-3! Hope this helps!
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