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djyliett [7]
3 years ago
10

What is the factorization of 729x15+1000?

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
8 0
729x¹⁵ + 1000

This is a case of a sum of cubes.

729 is the cube of 9
1000 is the cube of 10
x¹⁵ is the cube of x⁵

A sum of perfect cubes can be factored into 
(a + b) (a² - ab + b²)

(9x⁵+ 10) ((9x⁵)²-(9x⁵)(10) + 10²)

(9x⁵ + 10) (81x¹⁰ - 90x⁵ + 100) THIS IS THE FACTORIZATION

9x⁵ (81x¹⁰ - 90x⁵ + 100) + 10(81x¹⁰ - 90x⁵ + 100)
729x¹⁵ - 810x¹⁰ + 900x⁵ + 810x¹⁰ - 900x⁵ + 1000
729x¹⁵ - 810x¹⁰ + 810x¹⁰ + 900x⁵ - 900x⁵ + 1000
729x¹⁵ + 1000
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For what value of x must ABCD be a parallelogram ?
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Answer:

x = 4

Step-by-step explanation:

as it is parallelogram opposite sides are equal

so14x -7= 10x-9

14x-7+9=10x

14x -16 = 10x

14x -10x = 16

4x =16

x = 16/4

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also u can put x = 4 in both expressions and u will get answer of both 49

7 0
3 years ago
P(x)=(x-2)(x-3)(x+7) find the constant term
hram777 [196]
Short method: multiply constants
= ( - 2) \times ( - 3) \times (7) \\  = 6 \times 7 \\  = 42

Long mothod: expand it
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5 0
3 years ago
What is the value of x for which m || n?<br> x = 40<br> x = 5<br> x = 105<br> x = 30
QveST [7]

Answer:

(A) x=40

Step-by-step explanation:

Given: It is given that m is parallel to n.

To find: The value of x.

Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.

Thus, 105^{\circ}=3x-15^{\circ}

⇒105^{\circ}+15^{\circ}=3x

⇒120^{\circ}=3x

⇒\frac{120}{3}=x

⇒x=40

Thus, the value of x is 40, hence option A is correct.

4 0
3 years ago
Read 2 more answers
4 = 3x -x-4<br> I need steps to how to do this​
vesna_86 [32]

Step-by-step explanation:

so first you combine like terms , 3x-x-4=4 turns into 4x-4=4 then u add 4 to both sides [inverse operations]

4x-4=4

+4 +4

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

4x= 8

----------

4. 4

×=2

then u use inverse operations. agian and divide 4 into 8 and you get 2 !! x = 2

4 0
3 years ago
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Which is the following quotient 1/1+3 squared
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10

Step-by-step explanation:

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