A Fly lands on a coordinate plane at the point (3,5)....

[hamnet]

A Fly lands on a coordinate plane at the point (3,5). There is some food located at (-7,15). The fly is exactly how many units away from the food?

If I were to make a graph and plotted the points 3,5 and -7,15, would units be the the up and over, or what?

Also,

For all possible values of "h", the expression nPn-2 can be simplified to: ...?

Would the answer to this be n(n-2)?

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Also, *cough* When using the TI-83 graphing calculator, I am asked the question: What is the equation of the horizontal asymptote of the graph y=3(2)^x - 1? I graph 3(2)^x - 1, how do I find what the horizontal asymptote is?

 

[pka]

You really should repost the exact wording of this problem.
Let us see what is call for.

You see a fly is not restricted to simply moving up/down and right/left in a city-block model. It seems to as if the answer is simply the normal Euclidean distance between to points in the plane. That is, the square root of the sum of the square of the differences in the coordinates.

 

[hamnet]

That was the exact wording of the problem :x

So, searching for the Euclidean formula,

I would have √((3-(-7)^2+(15-5)^2 = 14.14213562

So the answer is 10√2?

 

[pka]

That is clearly an answer.
Is it the answer? Depends on what the definition of distance is in what you are doing.

 

[hamnet]

Well, the full question as stated in the book is:

A fly lands on a coordinate plane at the point (3,5). There is some food located at point (-7, 15). The fly is exactly how many units away from the food?

A. 2√10 units
B. 10√2 units
C. 4√26 units
D. 14 units

That is the only thing the question states.

 

[pka]

See there you did not give us the entire question!
You said you did! But you did not.
Seeing the possible answers, it is clear what metric is meant.

 

[hamnet]

Oh, I am sorry. I wasn't thinking properly. I assumed that one could solve the question regardless if the choices were posted.

 

[hamnet]

Thank you for your help I appreciate it.

For this question:

For all possible values of "h", the expression nPn-2 can be simplified to:

A. n(n-2)
B. n(n-1)/1
C. n!/2
D. n^2 - n

Would the answer to this be n(n-2)?

 

[stapel]

I assumed that one could solve the question regardless if the choices were posted.

If you don't provide the full and exact text of the question, then more than one answer option might fit the various possible interpretations. And since, at some point, you will be expected to know the material well enough to find the answers without being given choices from which to work backwards, the answer options are, in a sense, irrelevant. This is why it is requested that the original exercise (and its instructions) always be included in the post.

Thank you for your consideration.

Eliz.