Write the length of the line below as a sum. Then combine like terms.
]-----------[-------[
3/4x 2/3x
I don't get what they mean by length as a term.
i think its just 3/4x + 2/3x=
(have make the bottom numbers the same and then add them)
(3/4)x + (2/3)x = ?
Find the common denominator before adding.
(9/12)x + (8/12)x = ?
Thank you soooooo much. So then all I have to do is ummmmmmmmmmmm....... never mind. I got it. Hopefully.
Ok. I get it now. Thank you sooooo much. It helped a ton.
To find the length of the line, we can combine and simplify the terms.
The line can be divided into three segments: the segment labeled 3/4x, the segment labeled 2/3x, and the remaining segment in between them.
To write the length as a sum, we add up the lengths of these three segments.
Let's denote the length of the line as L.
The length of the first segment labeled 3/4x is 3/4x.
The length of the second segment labeled 2/3x is 2/3x.
Now, for the remaining segment, we need to figure out its length. Since it is the distance between the ends of the line segments labeled 3/4x and 2/3x, we can subtract the lengths of these two segments from the length of the entire line.
The length of the entire line = Length of segment labeled 3/4x + Length of segment labeled 2/3x + Length of the remaining segment
Therefore, L = 3/4x + 2/3x + Length of the remaining segment
To combine like terms, we need to find a common denominator for 4 and 3, which is 12.
L = (9/12)x + (8/12)x + Length of the remaining segment
= (9x + 8x)/12 + Length of the remaining segment
= (17x/12) + Length of the remaining segment
So, we have expressed the length of the line as a sum of (17x/12) and the length of the remaining segment.