### Assignment 1

# Exploring Distance Equations

#### by

## Jen Curro

Consider two points (3,4) and (-5,-2).
For any point (x,y) we can write the distance equation. The first
distance equation would appear in this form:

Distance 1=
When this equation is graphed the graph
appears as:

When the values of D ranges from 0-8
and are labeled as so:

To see a graph
with greater values click here (QuickTime Player).

The second equation would appear as

Distance 2=
When this equation is graphed the graph
appears as:

When the values of D range from 0-8 and
the labels are as follows

To see an illustration
of this with greater values click here. (QuickTime Player)

a. Considering each graph when it is set
to a non-zero constant would give the circles above without the
points in the centers. They appear like:

and
like

When the values of D range from 1-8.
The difference that should be noticed between these two graphs
and the graphs listed above is that removing the zero label from
the graph produces the same graph without the zero value which
was the point in the center of each graph.

b. Consider the sum for various values
of C.

The graph when the C value is varied from
10 to 50 gives a representation

With the values labeled below:

To see an illustration
with great values click here. (QuickTime Player)

c. Consider the product for various values
of C.

The graph when the C value is varied from
1-40 gives a representation

With the values labeled below:

To see an illustruation
with greater values click here (QuickTime Player)

If you would like an explanation as to
what is happening in the graphs above please click
here.

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