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Naya [18.7K]
3 years ago
11

Equation of the line that passes through the point (-8,-1) and is parallel to the line x-4y=4x−4y=4?

Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

Step-by-step explanation:

x - 4y = 4

-4y = -x + 4

y = 1/4x - 1

y + 1 = 1/4(x + 8)

y + 1 = 1/4x + 2

y = 1/4x + 1

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xenn [34]

It sounds like <em>R</em> is the region (in polar coordinates)

<em>R</em> = {(<em>r</em>, <em>θ</em>) : 2 ≤ <em>r</em> ≤ 3 and 0 ≤ <em>θ</em> ≤ <em>π</em>/2}

Then the integral is

\displaystyle \iint_R\frac{\mathrm dx\,\mathrm dy}{\sqrt{x^2+y^2}} = \int_0^{\pi/2}\int_2^3 \frac{r\,\mathrm dr\,\mathrm d\theta}{\sqrt{r^2}} \\\\ = \int_0^{\pi/2}\int_2^3 \mathrm dr\,\mathrm d\theta \\\\ = \frac\pi2\int_2^3 \mathrm dr \\\\ = \frac\pi2r\bigg|_2^3 = \frac\pi2 (3-2) = \boxed{\frac\pi2}

5 0
3 years ago
Two spherical shells have their mass uniformly distrubuted over the spherical surface. One of the shells has a diameter of 2 met
ivann1987 [24]
The moment of inertia of a spherical shell is I = mr²

If two spheres have the same moment of inertia, then
I₁ = I₂
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Given m₁ = 1 kg, r₁ = 2 m, r₂ = 1m,
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3 years ago
Which graph shows the solution set for 2 x + 3 greater-than negative 9?
sp2606 [1]

I''m pretty sure it's A

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3 years ago
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3 0
3 years ago
Read 2 more answers
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Vlad1618 [11]

Answer:

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Step-by-step explanation:

The process is:

0.787878

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3 0
3 years ago
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