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3 years ago

What expression represents the volume of the cylinder, in cubic units?

Mathematics

1 answer:

Marat540 [252]3 years ago

7 0

Answer:

It's A

Step-by-step explanation:

I hope that it's a correct answer.

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

Every evening jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she

gulaghasi [49]

26-28 I think although I'm not 100% sure

5 0

3 years ago

What is this ????><<<<<<<<<<<<<<<

Nat2105 [25]

Answer:

(x, y)

(7, 0)

Bike Trail is at 7, 0... It is 7 spots to the right (on the x axis) and 0 spots up or down (on the y axis)

Step-by-step explanation:

bike trail is the correct answer :)

Hope this helpss

6 0

3 years ago

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Solve for Z! If you can explain

Bogdan [553]

The answer is Z=-3 :)

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2 years ago

Jackson spent 2 2/3 hours skateboarding at 4 different parks this week. he spent the same amount of time at each park. how long

natali 33 [55]

If you add it up it will be 6 2/3

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3 years ago

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