2 years ago

What is the equation of the quadratic graph with a focus of (6, 0) and a directrix of y = −10?

Mathematics

1 answer:

Whitepunk [10]2 years ago

3 0

Here is the answer, I think.

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A lot is 21 ft by 30 ft. To support a fence, an architect wants an upright post at each corner and an upright post every 3 ft in

Bogdan [553]

What we know:
Lot= 21 x 30ft
Perimeter=2l+2w
Want to put 4 corner post and one post every 3 ft

What we need to find:
How many post we need.

Perimeter=2 (21)+2 (30)=42+60=102ft

102/3=34

34 posts are needed.

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2 years ago

Question Help

White raven [17]

Answer:

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Step-by-step explanation:

explanation

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2 years ago

Write all the factors of 21 .<br> Use commas to separate them.

Advocard [28]

Answer:

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Step-by-step explanation:

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Evaluate the integral Find the volume of material remaining in a hemisphere of radius 2 after a cylindrical hole ofradius 1 is d

algol13

You want to find the volume inside the hemisphere $x^2+y^2+z^2=4$ (i.e. inside the sphere but above the plane $z=0$ ) and outside the cylinder $x^2+y^2=1$ . Call this region $R$ .

In cylindrical coordinates, we have

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_1^2\int_0^{\sqrt{4-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$

$\displaystyle=2\pi\int_1^2 r\sqrt{4-r^2}\,\mathrm dr$

$\displaystyle=-\pi\int_3^0\sqrt u\,\mathrm du$

(where $u=4-r^2$ )

$\displaystyle=\pi\int_0^3\sqrt u\,\mathrm du$

$=\dfrac{2\pi}3u^{3/2}\bigg|_0^3=2\sqrt3\,\pi$

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3 years ago

Which of these sequences are arithmetic? Check all that apply.

kipiarov [429]

I know that the second one the fourth one and the fifth one are arithmetic but I’m not sure about the others I think there are only three but don’t count me on it

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1 year ago