1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
Which equation has the same solution as 10(x) - x + 5 = 41
viva [34]

Step-by-step explanation:

if that is truly the full problem description, then we have

10x - x + 5 = 41

=>

9x = 36

our simply

x = 4

so, I am not sure, what your teacher wants to see as result.

there is an infinite number of equations I could find, all with the solution x = 4.

6 0
3 years ago
Use the drawing tool(s) to form the correct answer on the provided number line.
Contact [7]

Answer:

See the image.

Step-by-step explanation:

3 0
2 years ago
Solve for X. Round to the nearest 10th. Need to use COS, TAN, or SIN
Brums [2.3K]

tan( 75 ) = 17 / x

3.732 = 17 / x

x = 17 / 3.732

x = 4.5551

x = 4.56

7 0
3 years ago
Find the area of the following figure. Explain how you found your answer.
iragen [17]

Answer:

Below

Step-by-step explanation:

Let's say that each square on the grid represents 1 cm

First find the area of the two triangles

For the larger one: A = bh/2

A = 3 x 3 / 2

  = 4.5 cm^2

For the smaller one : A = bh/2

A = 2 x 2 / 2

   = 2 cm^2

For the rectangle : A = lw

A = 4 x 5

   = 20 cm^2

Add them all up to get the area

4.5 + 2 + 20 = 26.5 cm^2

Hope this helps!

5 0
3 years ago
Read 2 more answers
Write the sentence as a conditional statement. Two parallel lines lie in the same plane. If two lines are parallel, then the lin
olga nikolaevna [1]
<h2>Answer:</h2>

The conditional statement is:

  • If two lines are parallel then they lie in the same plane.
<h2>Step-by-step explanation:</h2>

We know that a conditional statement is the statement which is written in the form of:

        If  p then q  i.e.  p → q

where p is the hypothesis of the statement.

and q is the conclusion  of the statement which is based on the hypothesis.

Here we are given a statement as:

 Two parallel lines lie in the same plane.

i.e. the hypothesis of the conditional statement is:

Two lines are parallel.

and conclusion is: They will lie in the same plane

( Because if two lines lie in the same plane then we can't conclude that they will be parallel )

6 0
3 years ago
Other questions:
  • B) What is the gradient of the line x + 2y = 1
    10·1 answer
  • Frank needs to fill juice cups for his little sister's birthday party. There are 35 juice cups and each juice cup holds 12 fluid
    15·2 answers
  • Andy has a collection of movie dvds. in andys collection 3/5 of the dvds are action 1/4 of the dvds are comedy. andy said that 4
    9·2 answers
  • Solve 2(x - 4) - 6(2x - 3) = 0<br> a. x = -4<br> b. x = -1<br> c. x = 0<br> d. x = 1
    9·1 answer
  • Rewrite the expression with a rational exponent as a radical expression.
    9·2 answers
  • What is 28/20 simplified? And what is 20/28 simplified
    12·2 answers
  • Solve the area formula for a triangle, A=1/2 bh, for h
    14·1 answer
  • 8×3/4×3/4×8×3/4 Help me please. ​
    7·1 answer
  • A six sided die is tossed. Determine the odds against rolling a 3.<br><br> The odds are :
    12·1 answer
  • Hello can you please help me with one or two please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!