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chubhunter [2.5K]
4 years ago
14

Distribute (x2 + 2xy + y2)(x+1) and show work...

Mathematics
1 answer:
Feliz [49]4 years ago
8 0
<span><span> (x2+2xy+y2)(x+1)</span> </span>Final result :<span> (x + y)2 • (x + 1) </span>Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "y2"   was replaced by   "y^2".  1 more similar replacement(s).

Step by step solution :<span>Step  1  :</span>Trying to factor a multi variable polynomial :

<span> 1.1 </span>   Factoring   <span> x2 + 2xy + y2</span> 

Try to factor this multi-variable trinomial using trial and error<span> 

 </span>Found a factorization  :  (x + y)•(x + y)

Detecting a perfect square :

<span> 1.2 </span>  <span> x2</span>  +2xy <span> +y2</span>  is a perfect square<span> 

 </span>It factors into  (x+y)•(x+y)
which is another way of writing <span> (x+y)2</span>

How to recognize a perfect square trinomial: <span> 

 </span>• It has three terms <span> 

 </span>• Two of its terms are perfect squares themselves <span> 

 </span>• The remaining term is twice the product of the square roots of the other two terms

Final result :<span> (x + y)2 • (x + 1) </span><span>
Processing ends successfully</span>
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Last season Steven missed 24% of the free throws in his basketball games. In the two first games this season he got to shoot 25
ASHA 777 [7]

Given:

Last season Steven missed 24% of the free throws in his basketball games.

Free throws in the first two games of this season = 25

His missed free throw percentage holds from last season.

To find:

The number of throws Steven miss during these two games.

Solution:

His missed free throw percentage for this season = His missed free throw percentage of last season = 24%

Free throws in the first two games of this season = 25

So, the number of throws Steven miss during these two games is

24\%\text{ of }25=\dfrac{24}{100}\times 25

24\%\text{ of }25=\dfrac{24}{4}

24\%\text{ of }25=6

Therefore, Steven miss 6 free throws during these two games.

4 0
3 years ago
Find the value of the trigonometric ratio.
emmasim [6.3K]

(D)

Step-by-step explanation:

sin x = opp/hyp

= 40/41

8 0
3 years ago
Select the correct answer.
Gemiola [76]

Step-by-step explanation:

it's B they have the same y intercept I think

8 0
3 years ago
Find the side length of each of the following squares having area <br><br><br>16cm2
strojnjashka [21]

Answer:

The side length of the each areas are (a) 4 cm  (b) 12 cm (c) 6 cm (d) 7 cm (e) 8 cm (f) 2 cm .

Step-by-step explanation:

Given:

The areas of the squares:

(a) 16 cm²  (b) 144 cm²  (c) 36 cm² (d) 49 cm² (e) 64 cm² (f) 4 cm².

Now, finding the side length of each squares.

So, putting the formula of area of square for getting the side length(a):

(a) Area = a²

16 = a^{2}

Using square root both the sides we get:

4=a

Side length = 4 cm.

(b)  Area = a²

144 = a^{2}

Using square root both the sides we get:

12=a

Side length = 12 cm.

(c) Area = a²

36= a^{2}

Using square root both the sides we get:

6=a

Side length = 6 cm.

(d) Area = a²

49 = a^{2}

Using square root both the sides we get:

7=a

Side length = 7 cm.

(e) Area = a²

64 = a^{2}

Using square root both the sides we get:

8=a

Side length = 8 cm.

(f) Area = a²

4=a^{2}

Using square root both the sides we get:

2=a

Side length = 2 cm.

Therefore, the side length of the each areas are (a) 4 cm  (b) 12 cm (c) 6 cm (d) 7 cm (e) 8 cm (f) 2 cm.

7 0
3 years ago
A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first
larisa [96]

Answer:

D. 0.002

Step-by-step explanation:

Given;

total number of sample, N = 500 elements

50 elements are to be drawn from this sample.

The probability of the first selection, out of the 50 elements to be drawn will be = 1 / total number of sample

The probability of the first selection = 1 / 500

The probability of the first selection = 0.002

Therefore, on the first selection, the probability of an element being selected is 0.002

The correct option is "D. 0.002"

4 0
4 years ago
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