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Mathematics 24 Online
OpenStudy (anonymous):

Hmm... Not sure on this.

OpenStudy (anonymous):

On a school map, the points (8, -4), (8, -10), (2, -4), and (2, -10) represent the four corners of a sand park. What are the coordinates of the center of the sand park? (4, -2) (5, -7) (6, -9) (8, -5)

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

Any ideas here?

OpenStudy (anonymous):

Absolutely none. Well, I noticed that the 2 pairs of plots are the same number for x and then 6 apart for y.

jimthompson5910 (jim_thompson5910):

We want the center. So we want the midpoints of two sides that are not parallel. How do we do this?

OpenStudy (anonymous):

Um...

OpenStudy (anonymous):

Inform me?

jimthompson5910 (jim_thompson5910):

Another way to do this is to average the x coordinates of any two points where the x coordinates are not the same So pick (8, -4) and (2, -4), and average the x coordinates to get: (8+2)/2 = 10/2 = 5 So the x coordinate of the center is 5 Do the same thing, but now average the y coordinates to find the y coordinate of the center.

jimthompson5910 (jim_thompson5910):

So what do you get for the y coordinate of the center?

OpenStudy (anonymous):

-4+-4/2 = 8/2 = 4

jimthompson5910 (jim_thompson5910):

the y coordinates have to be different other wise you'll just get the same coordinate back again

OpenStudy (anonymous):

Oh. I'm confused..

jimthompson5910 (jim_thompson5910):

Pick two points where the y coordinates are not the same. Which points did you pick?

OpenStudy (anonymous):

-10 -4

jimthompson5910 (jim_thompson5910):

So you picked (8, -10) and (2, -4) you mean?

OpenStudy (anonymous):

Yes

jimthompson5910 (jim_thompson5910):

Now average the two y coordinates (-10+(-4))/2 = -14/2 = -7 So the y coordinate of the center is -7

OpenStudy (anonymous):

So we have 5 and -7

jimthompson5910 (jim_thompson5910):

giving the center to be (5, -7)

OpenStudy (anonymous):

Is that the answer? :D

jimthompson5910 (jim_thompson5910):

yes it is

OpenStudy (anonymous):

Yay! Thank you so much for your help. If you could continue helping me on my other questions, I'd love that. You actually make it make sense.

jimthompson5910 (jim_thompson5910):

Alright, I'm glad I'm helping you out

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