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DaniilM [7]
3 years ago
7

examine the following sequence 1,4,9,16,25…why is 36 the next number in the sequence ? because the pattern is

Mathematics
1 answer:
kobusy [5.1K]3 years ago
3 0

Answer:

The pattern is adding by consecutive odds.

Step-by-step explanation:

The first odd you start with is 3:

1 + 3 = 4

4 + 5 = 9

9 + 7 = 16

16 + 9 = 25

25 + 11 = 36

...

Note that each time you add, it is by consecutive odds, meaning that after 36, you are adding 13, then 15, etc.

~

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3 years ago
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Answer:

B

Step-by-step explanation:

-the base angles are 34, so the total value of both base angles is 68

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3 years ago
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3 years ago
I need help on all of these please help i’ll mark brainliest!!! <br> -11 + x = 7X - 5
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Sav [38]

Question 1.) Factor completely 12x^{4}+ 6x^{3}+18x^{2}

Since 6 divides all the three terms of the equation, so we take 6 common out from the equation.

i.e., 6(2x^{4}+ 1x^{3}+3x^{2})

Now, since x^{2} divides all the three terms of the equation, so we take x^{2} common out from the equation.

i.e., 6x^{2}(2x^{2}+ 1x+3)

Now, this cannot be factored further as 2x^{2}+ 1x+3 is a quadratic equation and taking out discriminant of it is:

D = (1)^2 - 4(2)(3)\\  \ \   = 1- 24\\ \ \ = -23

Since, the discriminant is less than zero. Therefore, the factored form of the given equation :  12x^{4}+ 6x^{3}+18x^{2}  is : 6x^{2}(2x^{2}+ 1x+3)


Question 2.) 7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}

Since 7 divides all the three terms of the equation, so we take 7 common out from the equation.

i.e., 7(x^{3}y+ 2x^{2} y^{3} - x^{2}y^{2})

Now, since x^{2}y divides all the three terms of the equation, so we take x^{2}y common out from the equation.

i.e., 7x^{2}y(x+ 2y^{2} - y)

Therefore, the factored form of the given equation :  7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}  is : 7x^{2}y(x+ 2y^{2} - y)


Question 3.) What is the Greatest Common Factor of x^{6} and x^{3} ?

The Greatest Common Factor of two numbers is the biggest number which divides both the given numbers completely.

Now, for the expressions x^{6} and x^{3}:

Since, x^{3} divides both the expressions completely and it is the biggest expression which divides both the expressions.

Therefore, x^{3} is the Greatest Common Factor of x^{6} and x^{3}



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3 years ago
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