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 10 months ago
i need help solving this
replace r and g with the following and find the timeout.
r=917* sqrt(t)
g=14*t
 10 months ago
i need help solving this replace r and g with the following and find the timeout. r=917* sqrt(t) g=14*t

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Ash90
 10 months ago
Best ResponseYou've already chosen the best response.0idk what to do with this?

AkashdeepDeb
 10 months ago
Best ResponseYou've already chosen the best response.1Do we just have to find the time in this question? And is any other equation given? :)

Ash90
 10 months ago
Best ResponseYou've already chosen the best response.0yes we just need to find the time in this equation but I have to write it out by showing my work. let me check and see if anything else is given...

Ash90
 10 months ago
Best ResponseYou've already chosen the best response.0that's all nothing else is need right now.

Ash90
 10 months ago
Best ResponseYou've already chosen the best response.0what this is is a programm that when you do the calculations the colors are set up to do what you need them to.

AkashdeepDeb
 10 months ago
Best ResponseYou've already chosen the best response.1That's cool! Well, if you have to find the value of t in terms of r or in terms of g, you can do that. But if you want to find the value of t, in terms of real numbers, [Although, I don't think it is possible] I suggest you tag someone else. The equations you have posted are called Parametric equations, you can also express r in terms of g here but I am not sure how to go about calculating the sole value of 't'. :)

Ash90
 10 months ago
Best ResponseYou've already chosen the best response.0could i show you what i have and maybe you can help from there?

AkashdeepDeb
 10 months ago
Best ResponseYou've already chosen the best response.1Yes, I can help you from there! But is it given that r=g ? Because you have equated it over there! :D

Ash90
 10 months ago
Best ResponseYou've already chosen the best response.0well i think what i had to do was set them equal to each other if i'm not mistaking i think thats what the teacher wanted.

AkashdeepDeb
 10 months ago
Best ResponseYou've already chosen the best response.1Okay. So if r=g \(917 \sqrt{t} = 14t\) \(9114t = 7\sqrt{t}\) \(Squaring ~~both ~~sides ~~we~~ get:\) \((9114t)^2 = 49t\) \(196t^2 + 8281  2548t = 49t\) \(196t^2  2597t + 8281\) \(~~~~~~~~~~~~Where~~[a = 196, ~b = 2597,~c = 8281]\) Use the quadratic equation below to solve for \(t\): \[\frac{b \pm \sqrt{b^24ac}}{2a}\] Got it? :)

Ash90
 10 months ago
Best ResponseYou've already chosen the best response.0\[t=\frac{ 53+\sqrt{105} }{ 8 }, t=\frac{ 53\sqrt{105} }{ 8 }\]

AkashdeepDeb
 10 months ago
Best ResponseYou've already chosen the best response.1Yes, if you got that by calculating the above equation, then yes. :)

Ash90
 10 months ago
Best ResponseYou've already chosen the best response.0for this one i thought using quadratic formula right of hand would be a good idea

AkashdeepDeb
 10 months ago
Best ResponseYou've already chosen the best response.1You cannot always do that. The quadratic formula can only be used when f(x) = ax^2 + bx + c = 0 [And zero only] As it gives us the zeroes of the polynomial/expression. What you could do is write it like this: 7t^2  51t + 92  r = 0 Now apply the quadratic formula, considering, [c = 92r] Getting this? :) You may also try this by the completingthesquare method, although I am not a 100% sure if it'll work here.
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