Answer: AB is 15
Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:
5x-15+3x-5=28
Add like terms:
8x-20=28
Add 20 to both sides
8x=48
Divide by 8
x=6
Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15
5(6)-15
30-15
AB=15
Let Max be
years.
Then Lenny is
years
When we subtract Max's age from Lenny's age we obtain
This is equal to
Putting all together we have
The slope of both lines will be the exact same.
hope this helps :)
Given:
The function is:
The graphs of functions and .
To find:
The function .
Solution:
We have,
The function is vertically compresses to get the graph of the function . So, the function is:
...(i)
From the given graph it is clear that the graph of the function passes through the point (3,3). So, putting and in the above function, we get
Putting in (i), we get
Therefore, the correct option is D.