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 8 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
 8 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
 8 months ago
Best ResponseYou've already chosen the best response.0idk what to do with this?

AkashdeepDeb
 8 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
 8 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
 8 months ago
Best ResponseYou've already chosen the best response.0that's all nothing else is need right now.

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

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

Ash90
 8 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
 8 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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