Midpoint
We know AC is a segment and B is its midpoint. This means the length of the segment AB is half the length of the segment AC. This also means the length of the segment BC is half the length of AC, and equal to AB.
This can be visualized as follows:
Since AB=7, then BC = 7 and AC=AB+BC = 14
Answer: BC = 7, and AC=!4
Answer:
Option b
Step-by-step explanation:
The following system of linear equations is shown
These are two different slope lines.
We find the cut points of both lines with the axes.
Cut with the x axis. (y = 0)
Cut with the y axis. (x = 0)
...................................................................
Cut with the x axis. (y = 0)
Cut with the y axis. (x = 0)
The solution to this system will be a point for which it is fulfilled that:
In the image, different graphs with intersections are shown.
Locate among the options, one that shows the two lines of the system of equations according to their intersections with the x and y axes.
Option b is the only one that shows the graph of the lines
Then, The point of intersection of both lines in the graph is:
(-5, 13)
Therefore the solution of the system of equations is: (-5, 13)
You can verify this by replacing the point in the relationship
Equality is satisfied
Finally the answer is the option b