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zvonat [6]
2 years ago
5

3a-28-7a+10a Someone PLEASE HELP

Mathematics
2 answers:
tiny-mole [99]2 years ago
8 0

Answer:

6a - 28

Step-by-step explanation:

combine like terms

3a - 28 - 7a + 10a

3a - 7a + 10a = 6a

have a lovely day :)

dimaraw [331]2 years ago
8 0

Answer:

Step-by-step explanation:

the steps are on the pic

symbolab

tiger-algebra

and

geteasysolution

aregoof for math

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which means that the intersection of the cone and sphere occurs at

x^2+y^2+(x^2+y^2)=9\implies x^2+y^2=\dfrac92

i.e. along the vertical cylinder of radius \dfrac3{\sqrt2} when z=\dfrac3{\sqrt2}.

We can parameterize the spherical cap in spherical coordinates by

\mathbf r(\theta,\varphi)=\langle3\cos\theta\sin\varphi,3\sin\theta\sin\varphi,3\cos\varphi\right\rangle

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\varphi=\cos^{-1}\left(\dfrac{\frac3{\sqrt2}}3\right)=\cos^{-1}\left(\dfrac1{\sqrt2}\right)=\dfrac\pi4

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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
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=18\pi\left(1-\dfrac1{\sqrt2}\right)
=9(2-\sqrt2)\pi
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Answer:

de from a shuffled pack, you win $9.

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