Answer:
1. gcd(77,30)=1
Since 1 is the last non zero remainder appearing in these equations then, 1 is the gcd of 77 and 30.
2. u=-11, v=18
Using the Euclidean Algorithm we have that
Now, we express the remainder as linear combinations of 49 and 30.
Then
3. x=18
If then
for some
.
Then, if k=7,
Answer and Step-by-step explanation: An equation represents proportional relationship when dividing the quantities of the equation results in a quotient that is always the same. For example, in general:
Equation: y = mx
= m
m is a constant value, which means is the same.
A. Equation: 120 - x = L
Equation from alternative A is NOT proportional since the division of the quantities doesn't result in a constant.
B. Equation: 1.08p = t
Dividing total cost per item's price, will always give the sales tax, which is constant. So, this equation IS proportional.
C. Equation:
This equation is proportional because dividing marbles per how much each sister gets, always gives the number of sisters:
D. Equation:
This equation is NOT proportional because side length is squared, so it is not constant linearly.