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Len [333]
3 years ago
13

Perform the indicated operation. (3a2 - 7xy)(3a2 + 7xy)

Mathematics
2 answers:
Naily [24]3 years ago
8 0

(3a² - 7xy)(3a² + 7xy) =

= (3a²)² - (7xy)²

= 9a⁴ - 49x²y²

Use

a² - b² = (a - b)(a + b)

raketka [301]3 years ago
8 0

Answer:

9a^4 - 49x^2y^2.

Step-by-step explanation:

(3a^2 - 7xy)(3a^2 + 7xy)

This is example of the difference of 2 squares:

(a + b)(a - b) = a^2 - b^2,  so the answer is:

(3a^2)^2 - (7xy)^2

= 9a^4 - 49x^2y^2.

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Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia
Mademuasel [1]

An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.

We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.

This differential volume that the dome is increased is equal to the volume of the coat of paint.

The volume of the dome can be written as:

\begin{gathered} V=\frac{4\pi}{3}r^3 \\ \frac{dV}{dr}=\frac{4\pi}{3}\cdot3r^2\Rightarrow dV=\frac{4\pi}{3}\cdot3r^2\cdot dr=4\pi r^2\cdot dr \end{gathered}

Now, we can calculate dV as:

\begin{gathered} dV=4\pi r^2\cdot dr \\ dV\approx4\cdot3.14\cdot(30m)^2\cdot0.07\operatorname{cm}\cdot\frac{1m}{100\operatorname{cm}} \\ dV\approx12.57\cdot900m^2\cdot0.0007m \\ dV\approx7.92m^3 \end{gathered}

Answer: the paint needed for this coat is approximately 7.92 m^3

5 0
1 year ago
In Passage 2, the author claims that freedoms granted
yarga [219]

Correct answer is A. In Passage 2, the author claims that freedoms granted by society’s leaders have privileged one gender over the other.

In lines 72-78, Wollstonecraft argues that the laws passed by society’s leaders allow men to “contend for their freedom” but serve to “subjugate women.” In this context, “subjugate” means to control. Wollstonecraft is arguing that society’s leaders grant men freedoms that are denied to women.

Choices B, C, and D are incorrect because Wollstonecraft does not

claim that society’s leaders have granted freedoms that created a

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happiness, or ensured equality for all people.

<h3>This question is based on paragraph from Mary Wollstonecraft, A Vindication of the Rights of Woman. Originally published in 1792, which is given below -</h3>

Passage 2 -

"Contending for the rights of woman, my main argument is built on this simple principle, that if she be not prepared by education to become the companion of man, she will stop the progress of 45 knowledge and virtue; for truth must be common to all, or it will be inefficacious with respect to its influence on general practice.

...............................................

open before you when you observed, "that to see one half of the human race excluded by the other from all participation of government, was a political phenomenon that, according to abstract principles, it 65 was impossible to explain." If so, on what does your."

To learn more about passages from given link

brainly.com/question/25950911

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3 0
1 year ago
I would really appreciate some help, please!
levacccp [35]

Answer: 66 miles per hour i belive

Step-by-step explanation: good luck

7 0
3 years ago
Read 2 more answers
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lapo4ka [179]
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To find the gradient (M) plot two points on the line.

Then label each co ordinate X1 and X2 and then Y1 and Y2

Then subtract your y1 from y2 and then x1 from x2.

For example :if your coordinates were (1,2) (3,4) you would do
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3 years ago
What is the answer to y=15x + 25
Travka [436]

Answer:x=(y-25)/15

Step-by-step explanation:

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3 years ago
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