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Liono4ka [1.6K]
4 years ago
15

Factor the polynomial.3x^6y^2+81y^2

Mathematics
2 answers:
Elan Coil [88]4 years ago
6 0
<span>3x</span>⁶<span>y</span>²<span>+81y</span>² =
3y²(x⁶+27) =
3y²((x²)³+3³)=
3y²(x²+3)(x⁴-3x²+9)

Answer: D.
Zarrin [17]4 years ago
3 0
Answer is choice D

The reason why is...
3x^6y^2 + 81y^2 = 3y^2(x^6 + 27)
3x^6y^2 + 81y^2 = 3y^2((x^2)^3 + 3^3)
3x^6y^2 + 81y^2 = 3y^2(x^2 + 3)((x^2)^2 - (x^2)*3 + 3^2)
3x^6y^2 + 81y^2 = 3y^2(x^2 + 3)(x^4 - 3x^2 + 9)
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Find the distance travelled by Rubina if she takes 4 rounds of rectangular park whose length and breadth is 45m and 30m
ANTONII [103]
  • Length (l) = 45 m
  • Breadth (b) = 30 m
  • We know, perimeter of a rectangle = 2(length + breadth)
  • Therefore, perimeter of the rectangle
  • = 2(I + b)
  • = 2(45 + 30) m
  • = 2 × 75 m
  • = 150 m
  • So, the distance travelled by Rubina
  • = 4 × 150 m
  • = 600 m

<u>Answer:</u>

<em><u>The </u></em><em><u>distance </u></em><em><u>travelled</u></em><em><u> </u></em><em><u>by </u></em><em><u>Rubina </u></em><em><u>is </u></em><em><u>6</u></em><em><u>0</u></em><em><u>0</u></em><em><u> </u></em><em><u>m.</u></em>

Hope you could get an idea from here.

Doubt clarification - use comment section.

5 0
3 years ago
Pam pays $8.00 for 1 yard of fabric. How much would the fabric cost per inch? Round your answer to the nearest cent, if necessar
Aloiza [94]
$8 per yard of fabric
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3 0
3 years ago
How do you find the lowest common denominator for 8/15 + 2/12?
salantis [7]
The lowest common denominator for 15 and 12 will get in this way 

15=3*5
12 = 3*4 

LCM will be 3*4*5=12*5=60
5 0
3 years ago
What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2? x = (
Crank

The x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.

<h2>We have to determine</h2>

What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?

<h3>According to the question</h3>

A line segment at points A(2, -3) and B (-4, 9).

The x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 is given by;

\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\&#10;\\&#10; y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\&#10;\\

Where \rm x_1 = 2 , \ x_2 =-4, \ y_1 =-3, \ y_2 = 9

Substitute all the values in the formula;

\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\\\

\rm x=\dfrac{1}{(1+2)} [-4-(2)]+ (2)\\\\ x = \dfrac{1}{3} \times (-6) +2 \\&#10;\\&#10;x = -2+2\\&#10;\\&#10;x=0

\rm y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\\\ y=\dfrac{1}{(1+2)} [9-(-3)]+ (-3)\\\\&#10;y = \dfrac{1}{3} \times (12) -3\\&#10;\\&#10;y = 4-3\\&#10;\\&#10;y =1

Hence, the x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.

To know more about Coordinates click the link given below.

brainly.com/question/13847533

7 0
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How could you use the Commutative Property of Addition to rewrite the expression −21 + 7? A) −21(7) B) 3(−21) + 7 C) 7 + (−21) D
Ierofanga [76]

Answer:

C

Step-by-step explanation:

The commutative property of addition reorganizes parts of an equation without changing the answer. C includes the same numbers (-21, +7) without changing the answer (-14)

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