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Zina [86]
3 years ago
9

The length of a line is x centimetres.

Mathematics
2 answers:
Tema [17]3 years ago
7 0

Answer:

10

Step-by-step explanation:

As we know that 1cm=10mm

so the expression would be 10x.

topjm [15]3 years ago
4 0

Answer:

10x

Step-by-step explanation:

Since there are 10 mm in one cm, the expression would be 10x.

Hope this helps!

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If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on
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 \frac{dy}{dt}  = 102

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x  ... (i)

Differentiating equation (i) with respective to 'x'

    \frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)

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(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)

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<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

                     \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Given    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34

                  \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

substitute values    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34  

           ⇒        34 = \frac{\frac{dy}{dt} }{3 }

cross multiplication , we get

                      \frac{dy}{dt} = 34( 3 ) = 102

<u><em>Final answer</em></u>:-

 \frac{dy}{dt} = 34( 3 ) = 102

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