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k0ka [10]
2 years ago
12

5(2x-2)=8x: what is the value of x?

Mathematics
1 answer:
balandron [24]2 years ago
5 0

Answer:

5

Step-by-step explanation:

First, you multiply the 5 by 2x to get 10x, then multiply the 5 by -2 to get -10. After that, you should get:

10x-10=8x

And here’s how you find x:

10x-10=8x

-10x     -10x

-10x=-2x

/-2x   /-2x

x=5

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Read 2 more answers
A particle moves along a line with acceleration a (t) = -1/(t+2)2 ft/sec2. Find the distance traveled by the particle during the
amm1812

Answer:

s(t)=(ln|7|+ln|2|)\,ft

Step-by-step explanation:

Acceleration is second derivative of distance and are related as:

a(t)=\frac{d^2s}{dt^2}\\\\\frac{d^2s}{dt^2}=\frac{-1}{(t+2)^2}\\

Integrating both sides w.r.to t

v(t)=\frac{ds}{dt}=\frac{1}{t+2} +C\\

Using initial value

v(0)=\frac{1}{2}\\\\\frac{1}{2}=\frac{1}{0+2} +C\\\\C=0\\\\\frac{ds}{dt}=\frac{1}{t+2}

We have to calculate the distance covered in time interval [0,5], so:

\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft

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