For

to be continuous at

, we need to have

Note that

means that

, but that

is *approaching* 5. We're told that for

, we have

We can write

and the limit would be

and so

is discontinuous.
Answer:
The selling price of the tea set should be: The selling price of the tea set is $2170
$1400 x . 55 = $770.
Nice. We're not really told which is the right angle. We can tell from the squared distances:



We see
so B is the right angle.
That was preliminary and probably indicated in an associated figure.
Now we want the line through the midpoint of the legs, AB and BC, in standard form.
The midpoint of AB is the average of the coordinates of A and B:

The midpoint of BC is

The line through those points is




That's the answer. Let's check it.
Midpoint of AB is (-2,3), -2 + 8(3)=22 good.
Midpoint of BC is (2,5/2), 2+8(5/2)=22 good.

1 it’s the most educated guess.