Nagaraj has a party-length sandwich that is 45 inches long and is to be cut into three pieces. the middle piece will be 3 inches longer than the shortest piece, and the shortest piece will be 9 inches shorter than the longest piece. how long will the pieces be?
the length of the shortest piece is
inches. the length of the medium piece is
. the length of the longest piece is
inches.

The length of the shortest piece is  11 inches. The length of the medium piece is   14 inches. The length of the longest piece is  20 inches.

Step-by-step explanation:

Ok, so we have a long sandwich of 45 inches that will be divided in 3, giving us the following formula (x = shortest, y = medium, z=longest):

x + y + z = 45

Then we have middle piece (y) is 3 inches longer than the smallest (x):

y = x + 3

And the shortest  piece (x) is 9 inches shorter than  the longest (z):

x = z - 9 or z = x + 9

Let's place the found values of y and z in the first equation:

x + y + z = 45

x + (x + 3) + (x + 9) = 45

3x + 12 = 45

3x = 33

x = 11

So, x = 11, y = 14 and z = 20.  (11 + 14 + 20 = 45).

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.