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anonymous
 one year ago
Two Cirque Du Soleil Performers Are Launched Toward Each Other From Two Slightly Offset Seesaws The First Performer Is Launched And One Second later , The Second Performer Is Launched in other Direction .They Both Performed A Flip And gave a high five in the air each performer is in the air for 2 seconds . The Height above the seasaw (h) at any given time (t) is approximated by parabolas
h=5(t1)^2 +5
h=5 ( t2)^2 +5
determine the height of the performers when they ''high fived '' @jvatsim
anonymous
 one year ago
Two Cirque Du Soleil Performers Are Launched Toward Each Other From Two Slightly Offset Seesaws The First Performer Is Launched And One Second later , The Second Performer Is Launched in other Direction .They Both Performed A Flip And gave a high five in the air each performer is in the air for 2 seconds . The Height above the seasaw (h) at any given time (t) is approximated by parabolas h=5(t1)^2 +5 h=5 ( t2)^2 +5 determine the height of the performers when they ''high fived '' @jvatsim

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jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Hmm... interesting. I see that the second equation is just as nasty as the first one (the only difference is a t1 vs. a t2). But I bet the big picture idea is still the same. :) 1) Set equal 2) Solve for t 3) Check answer.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This One Is Tricky .

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, I notice that on the surface we also have a weird (t1)^2 and (t2)^2 expansion needed too. We have to "expand the binomial" in math speak.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Let's try it and see what we get. We'll start with the first equation 5(t1)^2 + 5

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Alright, well I don't like the whole parenthesis squared thing so let's remember that exponents just mean to multiply the same thing twice: 5(t1)^2 + 5 > 5(t1)(t1) + 5

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Does that make sense so far?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Alright, keep track of what you are thinking and what is confusing. Let me finish the full thought here and see if that helps. :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0We rewrite: 5(t1)^2 + 5 > 5(t1)(t1) + 5 then, we use FOIL or distribution (whichever you learned) to get: 5(t1)(t1) + 5 > 5( t^2  t  t + 1) + 5 simplifying: 5(t^2  t  t + 1) + 5 > 5(t^2  2t + 1) + 5 distribute the 5 (watch out for sign changes!): 5(t^2  2t + 1) + 5 > 5t^2 + 10t  5 + 5 simplifying: 5t^2 + 10t  5 + 5 > 5t^2 + 10t I know that is a lot, but see if you can follow the thought process. If you have any questions, I'll be happy to try and answer them. There are several algebra ideas floating around here.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Look Like Something I Seen Before

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0That's a good thing... I suppose. When it comes to math, we're basically saying "Yep, I've seen Godzilla before." :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Ahh! Error.... Here it is corrected. :) Well, if you are brave, we can do the same thing with the other equation 5(t2)^2 + 5. If we do it carefully, we get 5(t2)^2 + 5 5(t2)(t2) + 5 5(t^2  2t  2t + 4) + 5 5(t^2  4t + 4) + 5 5t^2 + 20t  20 + 5 5t^2 + 20t  15 Yikes... but, OK. :P Should have been 15 at the end.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Is there any step in particular that is confusing? Hopefully most of the make sense. The concepts here (in case you remember the names, which I never did): expand binomial: (t1)^2 = (t1)(t1) FOIL: (t1)(t1) = first + outer + inner + last = t*t + t*1 + 1*t + 1*1 = t^2 t t + 1 = t^2  2t + 1

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Oh, well you said you got it, but just checking... :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i was saying i got the 1st step lol but the whole binomial never heard of it

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0No worries, you may have heard it called something different. Terminology is replaceable. :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i heard of terminology

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Well, now we are actually through most the hard part of this question. 1) Expand the equations we got 5(t1)^2 + 5 > 5t^2 + 10t and 5(t2)^2 + 5 > 5t^2 + 20t  15 All we do now is set these two equations equal to each other, and proceed as before.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0soooo 5t^2 +10t=5t^2 + 20t  15

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Right! Now, we can choose to move one side or the other it doesn't matter. I'll move the left side since it is shorter (less steps). :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.05t^2 + 10t = 5t^2 + 20t  15 +5t^2 +5t^2  10t = 20t  15 ooooh nice, the t^2's are gone! 10t = 20t  15 10t 10t  0 = 10t  15 I don't like it written backwards, so I will spin it around 10t  15 = 0 There. We don't even need the quadratic formula for this one!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yay this one was fun but different

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Yes, the mathematical definition of "fun" is "utterly tortuous and ridiculous". :) If you get into math at the master's level the definition of an "interesting problem" is one that "you have no clue how to solve". lol

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Just to finish it off (though I'm sure you already finished the missing steps)... 10t = 15, so t = 15/10 = 1.5.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0I've got to head out now. But I do want to give you a link to a very good resource: Check out desmos.com It is a very powerful graphing calculator that lets you "see" the answer visually. It is not a replacement for knowing the algebra (in class you still need to solve it manually), but I think it is cool to know that there is technology that does these problems instantly. :) For example, I did this problem we just solved: https://www.desmos.com/calculator/1h08m4ibe7

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks , ill stay in touch your awesome

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Of course, whoever wrote the code for the computer needed to know the handwritten algebra first... :) Thanks! I hope you got something out of all the crazy math notation I threw at you. It's still weird that little symbols allow us to communicate ideas... crazy stuff... Take care! :)
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