The additive inverse of 5 modulo 8 is the number a such that
5 + a ≡ 0 (mod 8)
Then
a ≡ -5 ≡ -5 + 8 ≡ 3 (mod 8)
The multiplicative inverse is m such that
5m ≡ 1 (mod 8)
Use the Euclidean algorithm:
8 = 1•5 + 3
5 = 1•3 + 2
3 = 1•2 + 1
Then
1 = 3 - 1•2
1 = 3 - 1•(5 - 1•3) = 2•3 - 1•5
1 = 2•(8 - 1•5) - 1•5 = 2•8 - 3•5
and so
1 ≡ 2•8 - 3•5 ≡ (-3)•5 (mod 8)
which means the inverse of 5 is
-3 ≡ 8 - 3 ≡ 5 (mod 8)
For the g=6x you would have to divide the 6 from both sides so it would end up being x=g/6. For Z=m-x you can add the x to both sides making it z+x=m and then subtracting the z from both sides making it x=m-z. Then for u=2x-2 you would have to add 2 to both sides making it u+2=2x and then divide 2 from both sides making it x= 2+u/2.
Answer:
24/35
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
For it to be parallel to x = 0, the line must be x = something.
We know that no matter what y equals, x must equal zero. Let's apply that logic to the point, (2,4). It doesn't matter what the y is (in this case 4) but x must equal 2.
So, the equation is x=2. This is vertical, like x=0, but is just two points to the right.
Answer: 1/6 gallon of milk
Explanation: if Sue has 1/3 gallon of milk altogether and she wants to split it evenly among two people, just divide. So, your equation looks like this, 1/3 divided by 2. Remember, to change to its reciprocal and turn the division sign into multiplication. The equation now looks like 1/3*1/2. All you have to do is multiply across and you’ll receive 1/6. Therefore, each person will have 1/6 gallon of milk.