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jok3333 [9.3K]
3 years ago
8

Factorize the expression: 9x^4 + 12x^2y + 4y^2

Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

(3x² + 2y)²

Step-by-step explanation:

Given

9x^{4} + 12x²y + 4y² ← a perfect square

9x^{4} = (3x²)² and 4y² = (2y)²

of the form

9x^{4} + 12x²y + 4y² = (3x² + 2y)(3x² + 2y) = (3x² + 2y)²

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A purple paint is made by mixing 15oz of of red paint,and 5oz of boue paint. What percent of the paint is blue paint.
ZanzabumX [31]

Answer:  25%

<u>Step-by-step explanation:</u>

\dfrac{\text{blue paint}}{\text{total paint}}=\dfrac{5}{5 + 15}\quad =\dfrac{5}{20}\bigg(\dfrac{5}{5}\bigg)\quad =\dfrac{25}{100}\quad =\large\boxed{25\%}

4 0
3 years ago
Which of the following is the additive inverse of -4x + 13?
krok68 [10]

-13+4x

Step-by-step explanation:

Determine the opposite number of -4x +13 :

⬇️

-13 + 4x

4 0
2 years ago
In a scale drawing the length of a rectangular room is 6 inches and the width is 3 inches and the actual length of the room is 1
sashaice [31]

Answer:

1:36

Step-by-step explanation:

Length:

6 inches : 18 feet

1 ft = 12 inches

6 inches = 6/12 = 0.5 ft

Length:

0.5 ft : 18 ft

then. rhe scale is:

1: 36

7 0
3 years ago
The Han dynasty lasted from 206 B.C. to 9 A.D. How many years did the dynasty last?
cricket20 [7]

Answer:

The Han dynasty last was, 215 years

Step-by-step explanation:

Given statement: The Han dynasty lasted from 206 B.C. to 9 A.D.

To find how many years did the dynasty last.

B.C. represents Before Christ

A.D. represents After Death

To find the difference between two dates,

  • When the endings are the same you subtract
  • When they are different you add

You can see that the endings in the given 206 B.C. and 9 A.D. are B.C. and A.D. are different.

Just add these 206 and 9 we get;

206 + 9 = 215 years

Therefore, 215 years did the Han dynasty last.


4 0
3 years ago
Stanley needs to purchase a cylindrical silo. He wants the radius to be 6 ft. The silo should hold 1700 cubic feet when full. Ho
lubasha [3.4K]

Answer:

15.03m

Step-by-step explanation:

h=V/πr2

h=1700/π·62

h≈15.0313

Hope that helps

4 0
3 years ago
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