Find the slope and y-intercept of the line represented by each table.

What is the factored form of x^12y^18+1

Black_prince [1.1K]

Answer: The required factored form of the given expression is

$(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

Step-by-step explanation: We are given to find the factored form of the following algebraic expression:

$E=x^{12}y^{18}+1.$

We will be using the following formula:

$a^3+b^3=(a+b)(a^2+ab+b^2).$

Now, we have

$E\\\\=x^{12}y^{18}+1\\\\=(x^4y^6)^3+1^3\\\\=(x^4y^6+1)\{(x^4y^6)^2-x^4y^6\times1+1^2\}\\\\=(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

Thus, the required factored form of the given expression is

$(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

4 0

3 years ago

Read 2 more answers

6(-3r)=-39+3r what is the answer and work

masha68 [24]

6(-3r)=-39+3r
-18r = -39+3r
39 = 18r + 3r
39 = 21r
39/21 = r
13/7 = r
r = 13/7

8 0

3 years ago

if y varies directly as x, and y=72 when x=8 an equation that relates x and y is? and if y varies directly as x, and y=98 when x

balu736 [363]

Answer:

a) $y=9x$

b) $y=7x$

Step-by-step explanation:

In both parts of the problem y varies directly as x. So, they have the following form:

$y=kx$

Where k is the constant of proportionality.

Therefore, you must find k and then write the equations.

a) Solve for k:

$k=\frac{72}{8}\\k=9$

Then, the equation is:

$y=9x$

b) Solve for k:

$k=\frac{98}{14}\\k=7$

Then, the equation is:

$y=7x$

5 0

3 years ago

5/12 x 6/7 Pick one 5/8 5/14 0 0 0 35/72 30/60

STALIN [3.7K]

Answer:

5/14

Step-by-step explanation:

5/12 x 6/7 = 5/14

7 0

3 years ago

Write 8x10^-2 in standard notation

skad [1K]

Answer:

In standard notation it is 0.0832

Step-by-step explanation:

Explanation:

Scientific notation is a way to abbreviate numbers that would be really LONG otherwise, either very large numbers or very small ones. It uses the exponent to tell you how many places to move the decimal point and in which direction, to get the number back in standard notation.

A negative exponent means the number is smaller than it looks. Here, it's smaller than

8.32

The exponent -2 means we have to move the decimal point two places to the LEFT.

Doing that gives us

0.0832

If the number in scientific notation were 8.32 x 102, you would move the decimal point two places to the RIGHT, giving you: 8,320, or 8,320.00 in standard notation.

Suppose you had to write a report about the national debt, which is in the trillions of dollars I think. Would you want to have to write all those zeros every time?

Instead, you could use scientific notation. Let's pretend the debt is 2 trillion dollars. You can write this as: 2.0× 10^12

since two trillion is a 2 followed by 12 zeros.

7 0

2 years ago

Read 2 more answers