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lozanna [386]
3 years ago
6

Describe how to solve the inequality 3(a+5)<9

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0
First, let's use the distributive property on 3(a+5)

3(a + 5) = 3a + 3(5) = 3a + 15

Now, let's go back to the inequality

3(a+5) < 9

Use the distributive property

3a + 15 < 9

Subtract both sides by 15

3a < -6

Divide both sides by 3

a < -2

That's your answer.

Have an awesome day! :)
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\displaystyle\iint_{\text{cap}}\mathrm dS=\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/4}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm dv\,\mathrm du
=\displaystyle\int_{u=0}^{u=2\pi}\int_{\varphi=0}^{\varphi=\pi/4}9\sin v\,\mathrm dv\,\mathrm du
=-18\pi\cos v\bigg|_{v=0}^{v=\pi/4}
=18\pi\left(1-\dfrac1{\sqrt2}\right)
=9(2-\sqrt2)\pi
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