Help Me 20 points Need Correct ASAP

!!! Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3. Write your answer in the form of the expre

ki77a [65]

Answer:

(2x² + 3y)(4 $x^{4}$ - 6x²y + 9y²)

Step-by-step explanation:

A sum of cubes is factored in general as

a³ + b³ = (a + b)(a² - ab + b²) , thus

8 $x^{6}$ + 27y³

= (2x²)³ + (3y)³ with a = 2x² and b = 3y

= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)

= (2x² + 3y)(4 $x^{4}$ - 6x²y + 9y²)

3 0

3 years ago

What is the x value such that y=15 - 3x and y = 0

qwelly [4]

-3x+15=0
Add -15 both sides
-3x=-15
Divided by -3 both sides
x=-15/-3
x=5

3 0

3 years ago

Read 2 more answers

I suck at math if you could help me with these questions that would be great

docker41 [41]

Answer:

Part 8) The triangles are not similar (see the explanation)

Part 12) The triangles are not similar (see the explanation)

Part 14) The area is increased by 125%

Part 15) $h=30\ ft$

Step-by-step explanation:

Part 8) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

Find the value of x in the larger triangle

The sum of the interior angles in any triangle must be equal to 180 degrees

so

$64^o+85^o+x=180^o$

$149^o+x=180^o$

$x=180^o-149^o$

$x=31^o$

Find the value of y in the smaller triangle

The sum of the interior angles in any triangle must be equal to 180 degrees

so

$26^o+85^o+y=180^o$

$111^o+y=180^o$

$y=180^o-111^o$

$y=69^o$

so

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 12) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The measure of the interior angles of the triangle of the left are

88°

29° ----> by vertical angles

and

180°-(88°+29°)=63° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The measure of the interior angles of the triangle of the right are

180°-91°=89° ----> the sum of a exterior angle and a interior angle is equal to 180 degrees

29°

and

180°-(89°+29°)=62° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

so

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 14) we know that

If two figures are similar then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is 1.5

Because

100%+50%=150%=150/100=1.5

The scale factor squared is $1.5^2=2.25$

That means that the new area is 2.25 times the original area

The area is increased by 125%

Part 15)

Let

h ----> the height of the pine

we know that

The height of the person divided by the length of his shadow is equal to the height of the pine tree divided by the length of its shadow

using proportion

$\frac{6}{3}=\frac{h}{15}$

solve for h

$2=\frac{h}{15}$

$h=2(15)=30\ ft$

6 0

3 years ago

Ben runs 3/4 mile each day.How many Miles Does ben run in 12 days

Gnom [1K]

Answer:

9 miles

Step-by-step explanation:

0.75x12=9

or

75x120=90

90/10=9

7 0

3 years ago

Solve the system of equations. What is the solution? 10x – 4y = 12 5x + 2y = 14

Stells [14]

Answer is 2

Step-by-step explanation:

7 0

3 years ago