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3 years ago

Simplify the expression -6(10+9v)

Mathematics

1 answer:

lilavasa [31]3 years ago

6 0

Answer:

-60 - 54v or -60 + (-54v)

Step-by-step explanation:

If you choose to expand this equation to make it easier, you can write it out as (-6 × 10) + (-6 × 9v). With this, you can simplify this to -60 + (-54v).

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Which graph represents the solution to the given system? y=5x+4; y=5x-3

Mars2501 [29]

Hello from MrBillDoesMath!

Answer:

The lines do not intersect

Discussion:

Where do the lines intersect?

5x + 4 = 5x - 3 => subtract 5x from both sides

4 = -3 => NO WAY! The lines do not intersect

Thank you,

MrB

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3 years ago

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skad [1K]

Parameterize S by the vector function

$\vec s(u,v) = \left\langle 4 \cos(u) \sin(v), 4 \sin(u) \sin(v), 4 \cos(v) \right\rangle$

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$\displaystyle \iint_S \vec f \cdot d\vec s = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \vec f(\vec s) \cdot \vec n \, du \, dv$

$\displaystyle = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \left\langle 8 \cos(u) \sin(v), -12 \cos(v), 12 \sin(u) \sin(v) \right\rangle \cdot \vec n \, du \, dv$

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