T is directly proportional to \sqrt{x} T=400 when x = 625 (a) Find a formula for T in terms of x.​ pls hel

Question

T is directly proportional to
\sqrt{x}
T=400 when x = 625
(a) Find a formula for T in terms of x.​
pls help i need it urgently Pls pls pls

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MichaelMet 3 years 2021-07-29T19:44:53+00:00 2 Answers 150 views 0

Answers ( )

  1. danthu
    0
    2021-07-29T19:46:17+00:00
    Reply

    Step-by-step explanation:

    Given that ,

    • T is directly proportional to √x .

    Mathematically we can write it as ,

    \implies T \propto \sqrt{x}

    Let k be the constant , therefore ,

    \implies T = kx

    Now when T = 400 and x = 625 , lets find the value of k , as ,

    \implies 400 = k\times 625 \\\\\implies k =\dfrac{400}{625}\\\\\implies k= 0.64

    Therefore the required formula will be ,

    \implies \underline{\underline{ T = 0.64x}}

  2. quangkhai
    0
    2021-07-29T19:46:49+00:00
    Reply

    Answer:

    (a) T = 16√x

    Step-by-step explanation:

    T is directly proportional to √x, so we can say,

    T=k√x (where k is a constant)

    now, according to the question,

    400=k×√625

    400=k×25

    k=16

    so, putting the value of k in the equation, T=16√x

    Answered by GAUTHMATH

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