Sac had a rope that was 15 feet long. He cut it into three pieces. The first piece was 3.57 feet longer than the second piece. The third piece was 2.97 feet longer than the second piece. How long was the third piece of rope?

5.79 feet

Step-by-step explanation:

Let us represent

First piece = x

Second piece = y

Third piece = z

Sac had a rope that was 15 feet long.

x + y + z = 15

He cut it into three pieces.

The first piece was 3.57 feet longer than the second piece.

x = 3.57 + y

The third piece was 2.97 feet longer than the second piece.

z = 2.97 + y

How long was the third piece of rope?

x + y + z = 15

3.57 + y + y + 2.97 + y = 15

3y + 6.54 = 15

3y = 15 - 6.54

3y = 8.46

y = 8.46/3

y = 2.82 feet

Therefore, the length of the third piece z = 2.97 + y

z = 2.82 + 2.97

z = 5.79 feet

$32,660

step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: