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ratelena [41]
3 years ago
5

What are the solutions to the equation 2(x+1)^2=32

Mathematics
1 answer:
GenaCL600 [577]3 years ago
8 0

Answer:

Simplify 2(x+1)\times 22(x+1)×2 to 4(x+1)4(x+1).

4(x+1)=324(x+1)=32

2 Divide both sides by 44.

x+1=\frac{32}{4}x+1=

4

32

3 Simplify \frac{32}{4}

4

32

to 88.

x+1=8x+1=8

4 Subtract 11 from both sides.

x=8-1x=8−1

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Line in two point form
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A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate
Lyrx [107]

Answer:

Therefore the rate change of height is  \frac{1}{\pi} m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

\frac{dV}{dt}=4 \ m^3/s

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is V=\pi r^2 h

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\therefore V= 4\pi h

Differentiating with respect to t.

\frac{dV}{dt}=4\pi \frac{dh}{dt}

Putting the value \frac{dV}{dt}

\Rightarrow 4\pi \frac{dh}{dt}=4

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\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}

The rate change of height does not depend on the height.

Therefore the rate change of height is  \frac{1}{\pi} m/s.

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