The solution set to the inequality y<2x - 4 are shaded on the graph. Which point is a solution

Mathematics

1 answer:

BaLLatris [955]4 years ago

6 0

Any set of numbers (x, y) for which this inequality is true is a solution.

For example, the point (1, -5) is a solution because fitting it into the inequality gives us

<u>- 5 < - 2</u> which is true.

However, the point (3, 5) wouldn't be a solution because it would give us the inequality

<u>5 < 2</u> which is not true.

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Find the slope that passes through (-1, -3) and (-2, 2).

valentinak56 [21]

Answer:

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Step-by-step explanation:

I have used an online calculator to check my answer against so this answer is 100% correct. I used "Slope Calculator" by Omni.

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Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia

Mademuasel [1]

An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.

We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.

This differential volume that the dome is increased is equal to the volume of the coat of paint.

The volume of the dome can be written as:

$\begin{gathered} V=\frac{4\pi}{3}r^3 \\ \frac{dV}{dr}=\frac{4\pi}{3}\cdot3r^2\Rightarrow dV=\frac{4\pi}{3}\cdot3r^2\cdot dr=4\pi r^2\cdot dr \end{gathered}$

Now, we can calculate dV as:

$\begin{gathered} dV=4\pi r^2\cdot dr \\ dV\approx4\cdot3.14\cdot(30m)^2\cdot0.07\operatorname{cm}\cdot\frac{1m}{100\operatorname{cm}} \\ dV\approx12.57\cdot900m^2\cdot0.0007m \\ dV\approx7.92m^3 \end{gathered}$

Answer: the paint needed for this coat is approximately 7.92 m^3

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1 year ago

Need help asap question in the picture

MrRa [10]

The 4th equation is the answer

8 0

4 years ago

Four times the sum of a number X and two is sixteen

brilliants [131]

Answer: x=14

Step-by-step explanation: