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2 years ago

A/-6 + 8 = 12. a = Please help!!! Thanks so much! ~kweenie~

Mathematics

1 answer:

irina [24]2 years ago

8 0

Answer:

a = -24

Step-by-step explanation:

-a/6 +8 = 12

Subtract 8 from each side

-a/6 +8-8 = 12 -8

-a/6 = 4

Multiply by -6 on each side

-a/6 * -6 = 4*-6

a = -24

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Divide 216 into the ratio 1;5

SashulF [63]

Answer:

1:5

Step-by-step explanation:

6 0

3 years ago

Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

$=2(x^2+2^2)(x^2-2^2)$

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

3 0

3 years ago

Read 2 more answers

Tony separates a number of paintbrushes, x, into 3 equally sized groups. He claims that this is the same as making a group 1/3 t

DochEvi [55]

Answer:

Size of each group = $\frac{x}{3}$

Step-by-step explanation:

Total number of paint brushes = x

Since each the three groups are equally sized, to get the number of paintbrushes in a group, we will have to divide the total number of paint brushes by 3

∴ We have, number of paint brushes in a group = $\frac{Total number of paintbrushes}{3}\\$

= $\frac{x}{3}$

this is also the same thing as saying $\frac{1}{3}$ × $\frac{x}{1}$

This shows that the size of the new group is the same as $\frac{1}{3}$ the size of the original group

4 0

3 years ago

What is the justification for step 2 in the solution process?

Maksim231197 [3]

Answer:

Subtract property of deviation becasue your subtracting 6y frrom both sides of the equation.

Step-by-step explanation:

1)Given: 12y - 40 - 4y = 6y - 18

2)Simplify by adding 12y + (-4y): 8y - 40 = 6y - 18

3)Subtract property of deviation: 8y -6y - 40 = 6y -6y - 18

2y - 40 = -18

<em>Hope this helped!</em>

8 0

2 years ago

Read 2 more answers

andrew11 [14]

Answer:

the digit two is in tens... so a) is the answer

4 0

2 years ago