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Leya [2.2K]
3 years ago
12

What is the factored form of x^6-9?

Mathematics
2 answers:
taurus [48]3 years ago
7 0
It is the last one: (x^3 + 3(x^3 -3)
avanturin [10]3 years ago
6 0

Answer: (x³ + 3)(x³ - 3)

Explanation: A variable taken to any even power is a perfect square. Its factors will have exponents equal to one-half the original power.

In this case, x⁶ would therefore be a perfect square.

Since 9 is also a perfect square,

what we have here is the difference of two squares.

That can be factored as the product of two binomials,

one with a plus and one with a minus.

So we have (   +   )(   -   ).

Now ask yourself "what are the factors of x⁶ that are the same?"

Remember the rule is that those factors will use

one-half the exponent on the original.

So the factors of x⁶ that are the same are x³ and x³.

The factors of 9 that are the same are 3 and 3.

So our answer is (x³ + 3)(x³ - 3) and that's all there is to it.

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Answer this question to get 20 points!!!!
Ludmilka [50]

Answer:

Blue

Step-by-step explanation:

First, we need to find the LCD (Least common denominator)

Rewriting input as fractions if necessary:

1/10, 1/4, 1/5

For the denominators (10, 4, 5) the least common multiple (LCM) is 20.

Therefore, the least common denominator (LCD) is 20.

Now, we convert:

Red Marbles: 1/10 = 2/20

Blue Marbles: 1/4 = 5/20

Yellow Marbles: 1/5 = 4/20

As we can see, blue has the most. Now we have our answer! Good luck!

8 0
3 years ago
Round 7,883 to nearest thousand
Stels [109]

Answer:

8,000

Step-by-step explanation:

the nearest thousand is 8,000 as it is past 7,500.

6 0
3 years ago
Read 2 more answers
There are two similar packages. The ratio of the volumes is 8:125. Determine the dimensions of the bigger package. The dimension
GREYUIT [131]

Step-by-step explanation:

since packages are similarsimilar packages. The ratio of the volumes is 8:125. Determine the dimensions of the bigger package. The dimensions of the smaller package are... Height= 45cm, Length= 80cm, and Width= 25cm.

Length of bigger package = <em><u>8</u></em><em><u>0</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>0</u></em><em><u>c</u></em><em><u>m</u></em>

Width of bigger package =<em><u>2</u></em><em><u>5</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>3</u></em><em><u>9</u></em><em><u>0</u></em><em><u>.</u></em><em><u>6</u></em><em><u>2</u></em><em><u>5</u></em><em><u>c</u></em><em><u>m</u></em>

Height of bigger package =<em><u>4</u></em><em><u>5</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>7</u></em><em><u>0</u></em><em><u>3</u></em><em><u>.</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>cm</u></em>

4 0
2 years ago
-5 is to the _____ of 0.<br>Answer early pls​
Norma-Jean [14]

\Huge\boxed{Hi~there!}

On a number line, -5 is to the left of 0.

Remember, on a number line, positive numbers (including fractions, decimals and surds) are to the right of 0:

----------------------------------------------------------------------->

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Negative numbers (including rational and irrational numbers) are to the left of 0:

<-----------------------------------------------------------------

      -8      -7        -6     -5         -4     -3   -2    -1 0

Hope it helps! Enjoy your day!

~Just a determined gal

\bf{erutaNtneliS

3 0
2 years ago
Help on this please?
Anna [14]

Answer:

angle 1 should equal to 54.

angle 2 should equal to 126.

Step-by-step explanation:

2x - 8 + 4x + 2 = 180

2x + 4x - 8 + 2 = 180

6x - 6 = 180

6x - 6 + 6 = 180 + 6

6x = 186

6x ÷ 6 = 186 ÷ 6

x = 31

---------------------------------------------

2x - 8 = A1

2(31) - 8 = A1

62 - 8 = A1

54 = A1

-----------------------------------------------

4x + 2 = A2

4(31) + 2 = A2

124 + 2 = A2

126 = A2

7 0
3 years ago
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