Answer:
To draw the perpendicular bisector of any line segment, the compass opening should be the kept constant at any value a little more than half the length of the line segment. Then the compass point should be kept on one end and arcs drawn above and below and then keeping the same compass opening the same as mentioned before, the compass point should be placed on the other end and the arcs should be drawn above and below the segment touching the previous arcs.
Thus, out of the given options, the first option best suits the next step Herberto should take.
Step-by-step explanation:
Answer:
=
3
7
.
7
2
Step-by-step explanation:
Add
2
4
.
4
5
24.45
24.45
to both sides of the equation
1
3
.
2
7
=
−
2
4
.
4
5
1
3
.
2
7
+
2
4
.
4
5
=
−
2
4
.
4
5
+
2
4
.
4
5
For

to be continuous at

, you need to have the limit from either side as

to be the same.


If

and

, then the limit from the right would be

, so the answer to part (1) is no, the function would not be continuous under those conditions.
This basically answers part (2). For the function to be continuous, you need to satisfy the relation

.
Part (c) is done similarly to part (1). This time, you need to limits from either side as

to match. You have


So,

and

have to satisfy the relation

, or

.
Part (4) is done by solving the system of equations above for

and

. I'll leave that to you, as well as part (5) since that's just drawing your findings.