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2 years ago

What is the answer for 14a³ - 22a we have to Factorise it

Mathematics

2 answers:

barxatty [35]2 years ago

8 0

Answer:

Step-by-step explanation:

Both numbers are even. You can take out a 2.

14/2 = 7

22/2 = 11

There is a limitation of one a on the 22. But you can take out 1 a

a^3/a = a^2

Combing you get

Answer: 2a(7a^2 - 11)

This is the reverse distributive property.

sveta [45]2 years ago

5 0

Answer: 2a (7a² - 11).

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sleet_krkn [62]

Answer:

I believe the answer is C. 0.75

Step-by-step explanation:

7 0

3 years ago

What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

maks197457 [2]

Given:

The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

$2y+3(2)=10$

$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{6-0}(x-0)$

$y-15=\dfrac{-9}{6}(x)$

$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

$2(y-15)=-3x$

$2y-30=-3x$

$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

3 0

2 years ago

How can you use the Distributive Property to check your work when factoring? Once an expression has been factored, use the Distr

Mariana [72]

Answer:

Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.

Step-by-step explanation:

The distributive property for any binary operation Ф under * in the given set S where a, b, c ∈ S

The binary operation a * (b Ф c) = (a * b) Ф (a * c) .

The operation * distributes over the operation Ф.

Now, when factoring, suppose we have an expression ab + ac. To factor this, we have a(b + c).

To check that our answer is correct, since the expression has been factored, we then distribute the multiplication over the addition to check if the factorization is correct.

So, a(b + c) = ab + ac which is our initial expression.

So, to use the distributive property to check work when factoring, once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.

3 0

3 years ago

Read 2 more answers

1. Explain in a complete sentence if the point (2, -4) is the solution to the system of equations. x + y = -2 2x – y = 8

Temka [501]

So, it says x + y = -2
we just plug in the numbers so,
2 + - 4 = -2
This equation is true and can also be written as
2 - 4 = -2

It also then says that 2x - y = 8
Again, you just plug in the numbers
2 * 2 - (-4) = 8
This equation is true and can also be writen as,
2*2 + 4 = 8

7 0

3 years ago

Whats the common difference?

Stells [14]

Answer: The common difference is 8

Step-by-step explanation:

First Use the formula for the second to generate the first two numbers.

$u_{n}$ = 2^3n-2

Put in 1 for the first term and you will get 2 and the second term is 16 and to get from 2 to 16 you will multiply by 8.

7 0

3 years ago

What is the answer for 14a³ - 22a we have to Factorise it​

What is the answer for 14a³ - 22a we have to Factorise it