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3 years ago

9

What is the complete factorization of 4x^2-9y^4?

1 answer:

suter [353]3 years ago

7 0

Use the difference of squares factor rule to get
4x^2-9y^4
(2x)^2-(3y^2)^2
(2x-3y^2)(2x+3y^2)

The final answer is choice C
Note: the order of the factors does not matter

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What’s the answer for this?

Yuliya22 [10]

Answer:

1.98

Step-by-step explanation:

sin(26) = EF/4.5 -->

.44 = EF/4.5 -->

.44 * 4.5 = EF -->

1.98 = EF

5 0

3 years ago

A ball of radius 15 has a round hole of radius 5 drilled through its center. Find the volume of the resulting solid. Hint: The u

OverLord2011 [107]

Answer:

The volume of the ball with the drilled hole is:

$\displaystyle\frac{8000\pi\sqrt{2}}{3}$

Step-by-step explanation:

See attached a sketch of the region that is revolved about the y-axis to produce the upper half of the ball. Notice the function y is the equation of a circle centered at the origin with radius 15:

$x^2+y^2=15^2\to y=\sqrt{225-x^2}$

Then we set the integral for the volume by using shell method:

$\displaystyle\int_5^{15}2\pi x\sqrt{225-x^2}dx$

That can be solved by substitution:

$u=225-x^2\to du=-2xdx$

The limits of integration also change:

For x=5: $u=225-5^2=200$

For x=15: $u=225-15^2=0$

So the integral becomes:

$\displaystyle -\int_{200}^{0}\pi \sqrt{u}du$

If we flip the limits we also get rid of the minus in front, and writing the root as an exponent we get:

$\displaystyle \int_{0}^{200}\pi u^{1/2}du$

Then applying the basic rule we get:

$\displaystyle\frac{2\pi}{3}u^{3/2}\Bigg|_0^{200}=\frac{2\pi(200\sqrt{200})}{3}=\frac{400\pi(10)\sqrt{2}}{3}=\frac{4000\pi\sqrt{2}}{3}$

Since that is just half of the solid, we multiply by 2 to get the complete volume:

$\displaystyle\frac{2\cdot4000\pi\sqrt{2}}{3}$

$=\displaystyle\frac{8000\pi\sqrt{2}}{3}$

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4 years ago

Read the screenshot, please.

hram777 [196]

Answer:

You need <em>at least</em> 101 cans of food in order to meet or surpass the goal.

Step-by-step explanation:

a.

135+89=224

224+c>=325

b.

224-224+x>=325-224

x>=101

You need <em>at least</em> 101 cans of food in order to meet or surpass the goal.

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1 year ago

2(8-12x)+8x=-25x+52 <br> show your work pls <br> I am so confused on this.

Allisa [31]

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 25x to both sides.

Step 3: Subtract 16 from both sides.

Step 4: Divide both sides by 9.

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4 years ago

Write each sum as a product of two factors Problem= 3x+(2+x)+5*2

ivanzaharov [21]

$3x+(2+x)+5*2 =3x+x+2+10=4x+12=4(x+3)$

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3 years ago