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anonymous
 one year ago
The Height , H Of A Baksetball , in meters at t seconds after it is tossed out of a window is modeled by : H=5t^2 + 20t +15. A Boy Shoots At The Baseball With A Paintball Gun . The Trajectory Of The Paintball Is Given By The Equation : H=3t + 3 . Will The Paintball Hit The Baseball ? IF So When? At What Height Will The Baseball bE ? @jtvatsim
anonymous
 one year ago
The Height , H Of A Baksetball , in meters at t seconds after it is tossed out of a window is modeled by : H=5t^2 + 20t +15. A Boy Shoots At The Baseball With A Paintball Gun . The Trajectory Of The Paintball Is Given By The Equation : H=3t + 3 . Will The Paintball Hit The Baseball ? IF So When? At What Height Will The Baseball bE ? @jtvatsim

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jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Alrighty, what have we got here...

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0"something is flying through the air, somebody does something to hit in midair" yep same problem type... :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yup Sooo... 5t^2 +20t+15=3t +3

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Yessiree! Will the heights be equal? And when? Let's find out. The audience waits in suspense...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Lets Fine Outt Next Step Add ?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Either add or subtract, whatever will make the other side 0. Try something, and I'll let you know what I think. :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok Subtract Because there is only one negative .

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0You are right to subtract. But not because there is only one negative. Let's pause on this step to make sure you've got this part down. That way, you'll always have the confidence to get through this stage. :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0When I see 5t^2 + 20t + 15 = 3t + 3, I immediately focus my attention on the right side of the equation (look at 3t + 3).

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Then, ask yourself, I see a 3t, how can I get rid of it? In this case I could just subtract a 3t from both sides like this: 5t^2 + 20t + 15 = 3t + 3 3t 3t ___________________________ 5t^2 + 17t + 15 = 3 Then my 3t is gone!

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0But, then, of course, I still see a pesky 3 there. How could I get rid of that since I just want zero on that side? Well... subtract a 3 from both sides, just like we did before! 5t^2 + 17t + 15 = 3 3 3  5t^2 + 17t + 12 = 0

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Great! It's not too hard once you see the pattern. But it is a little hard to say in words. :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Here's one more example just to make sure you've got it. 66t^2 + 24t + 31 = 6t + 4 +6t +6t  66t^2 + 30t + 31 = 4 4 4  66t^2 + 30t + 27 = 0

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0In this case, I added to get rid of the 6t, but subtracted to get rid of the +4. Any questions on that process?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0And of course, what I just wrote above was a madeup example and has nothing to do with "our" current problem. :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i noticed Lol Those Off #;s

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Haha! I tried to make it obvious that I was going crazy there. ;) Anyways, we've got our equation now: 5t^2 + 17t + 12 = 0

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0From what I've seen, that should be the end of the "hard" part mathematically. The rest of the problem is just making sure our calculator does the right thing. :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yup Thats The Last Thing 2 do

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0OK, then. Once you have your proposed solutions from the quadratic formula, we'll compare notes.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Awesome! What did you get?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Yep, that's pretty close to what I got, x1 = 0.59999 x2 = 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got the 9999 2 lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0didnt think i needed it

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Oh, well, look at you! It's slightly different rounding 0.59 rounds to 0.6 (then I wouldn't have said anything...) You can feel that I'm becoming more nit picky! :) That's a good thing, it means you are moving beyond the basics. :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Lol Im Trying .. Another One Then Ill Leave You Alone Lol

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0No worries! Glad to help. It's fun watching someone start out struggling, but then learn and start mastering it. It's really cool to see happen. :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0So, we've got our possible solutions, but we need to check them. Here goes...

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Looks like t = 0.6 gives h = 1.2 and t = 4 gives h = 15

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The Correct One Is ....4

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0I'd agree, even though the heights are both positive (and therefore possible), the negative time is weird. The answer is Yes, time is 4, and height is 15. Yahoo! :D

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yay !!!!!!!!!! You Helped Me Sooo Much ..After This Next One Ill Have Just Four More ...Wouldve Been Up All Night

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0You are welcome! Based on looking at the problems are they relatively similar? If not, I could help you look at one that is a different type if you feel comfortable with these "objects flying and hitting" questions.

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

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is a summer packet soo

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.0Let's take a look at it then if you want. Even if I have to log off soon, I can at least try to come up with a plan of attack. :)
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