answer
new cell phone tower will be at (26,10)
they will overlap from (6,10) to (7,10)
step-by-step explanation
you want to find where the new cell phone tower is.
To do this, we need to find the range of the first tower to the right
Since the first tower is located at (-8, 10), and it's given the range is 15 miles, to find the point where the existing cell phone's tower range will end (to the right), you would add 15 to the x coordinate
so adding 15 in x-coordinates to (-8,10), you get that the range ends at (7,10)
the new cell phone tower's left range ends one unit to the left of the point we just found
new cell phone tower's left range (subtract one from the x coordinate of (7,10)) becomes (6,10)
so they will overlap from (6,10) to (7,10)
To find the origin of the new cell phone tower, we know the range is 20 miles, or 20 to the right of (6,10), so add 20 to the x-coordinate to get (26,10)
The new cell phone tower will be at (26,10)
