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Mathematics 17 Online
OpenStudy (yoongilife):

I am willing to do work. I want to understand. I will list problems, plus answers and reasoning once the thread becomes opens. I am going to contribute to the answer, but I need a little direction.

OpenStudy (yoongilife):

OpenStudy (yoongilife):

There is a total of four question, but I don't expect you to give me the answers. I need to understand how to do the problems. As always your time is appreciated.

OpenStudy (sleepyjess):

Right now, all I know is on #4, d = square root (4 + 5)^2 + (-4 + 8)^2, you have (4+5)^2 correct since (4 - (-5)) is (4+5), but on (-4 + 8), that should actually be (-4 - 8) because in the distance formula, 8 is subtracted.

OpenStudy (sleepyjess):

You have the right idea with the distance formula, just a wrong sign that can mess up everything

OpenStudy (yoongilife):

Ah, I see thank you for catching that mistake. Can I work out the new answer for a minute?

OpenStudy (sleepyjess):

Of course :)

OpenStudy (yoongilife):

Ok, so just to check (-4 -8) would be -12, right?

OpenStudy (sleepyjess):

Yep

OpenStudy (sleepyjess):

#3 is correct :)

OpenStudy (yoongilife):

Alright, so now we 9^2 and -12^2 which would be 81 + -144, right?

OpenStudy (sleepyjess):

Almost, remember, when squaring something, the result is always positive. -1 * -1 = 1, 1 * 1 = 1

OpenStudy (yoongilife):

Ah that's right. I forgot about that rule. So a the correction would be 81 + 144 because when we square a number the result is always positive.

OpenStudy (sleepyjess):

Yep :)

OpenStudy (sleepyjess):

And #1 is correct btw ^_^

OpenStudy (yoongilife):

Alright so now the square root of 225 is 15 and that is a possible answer. It also makes sense logically.

OpenStudy (yoongilife):

I appreciate you reviewing my other problems. Obviously I'm having trouble with the second question. I wanted to draw a figure, using the question as a map, but I'm just not sure. Nevertheless thank you for your time!

OpenStudy (sleepyjess):

Okay, so now all we have left is #2. From #3, it looks like you have some understanding of the pythagorean theorem? Let's draw a picture: |dw:1453867769216:dw|

OpenStudy (sleepyjess):

*let's just pretend that's a correctly drawn right triangle*

OpenStudy (sleepyjess):

Does that make sense?

OpenStudy (yoongilife):

Ah, are we trying to find the hypotenuse?

OpenStudy (sleepyjess):

Exactly!

OpenStudy (yoongilife):

Ok, can I have a minute to work this out please?

OpenStudy (sleepyjess):

Sure :)

OpenStudy (yoongilife):

I got 60 km. Is that what you got? I can show my work if you want.

OpenStudy (sleepyjess):

Yep :)

OpenStudy (yoongilife):

Alright, thank you very much for taking the time to explain and draw the problems out for me. I appreciate your effort!

OpenStudy (sleepyjess):

No problem! I really like working with you :)

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