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2 years ago

Simplify 3m + 8 -x = -24

Mathematics

2 answers:

Leokris [45]2 years ago

6 0

3m-x=-32 is the answer

erastova [34]2 years ago

3 0

3m+8-x=-24
3m=-24-8+x
3m=-32+x
m=(x-32)/3
3m+8-x=-24
3m+8+24=x
x=3m+32

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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From the given figure.

$tan\theta=\frac{x}{5}$

Substitute x = 1

$tan\theta=\frac{1}{5}$ -------------------(1)

Now, first we differentiate both side with respect to t.

$\frac{d(tan\theta)}{dt} = \frac{d}{dt}.(\frac{x}{3})$

Using chain rule.

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$sec^{2} \theta.\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

$(1+tan^{2} \theta).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

Substitute $tan\theta=\frac{1}{5}$ from equation 1.

$(1+(\frac{1}{3})^{2} ).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}$

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Applying cross multiplication rule.

$\frac{dx}{dt}= \frac{700\pi }{9}$

$\frac{dx}{dt}= 77.78\pi$

Therefore, light is moving along the shore at the speed of 77.78 km/min

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