MATHEMATICS MIDDLE SCHOOL

Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| > 4

Answers

Answer 1

Answer:

Answer:

***********o o**************

<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->

x>4 or x<-4

Step-by-step explanation:

You are looking for numbers that give you a distance, x, greater than 4 from 0. That wouldn't be anything between -4 and 4 because these would all give you a distance less than 4 from 0. So the answer would be to shade everything greater than 4 while also shading everything less than -4.

Here is a number line <-----|-----|-----|-----|-----|-----|-----|-----|-->

-6 -4 -2 0 2 4 6 8

Let's think about this more which of these numbers on this number line would satisfy |x|>4?

Numbers inside the numbers -4 and 4.

Or the numbers on the outside.

Let's try the inside numbers:

-2,02

|-2|>4

2>4 is false which means -2 doesn't satisfy |x|>4

|0|>4

0>4 is false which means 0 doesn't satisfy |x|>4

|2|>4

2>4 is false which means 2 doesn't satisfy |x|>4

We could also try -4 and 4... but these will both give you a distance equal to 4 from 0. And we are looking for greater than.

|-4|>4

4>4 is false which mean -4 doesn't satisfy |x|>4

|4|>4

4>4 is false which means 4 doesn't satisfy |x|>4

Now let's try the numbers on the outside:

-6,6,8

|-6|>4

6>4 is true so -6 does satisfy |x|>4

|6|>4

6>4 is true so 6 does satisfy |x|>4

|8|>4

8>4 is true so 8 does satisfy |x|>4

So what I'm trying to do is convince you more that the only numbers that would satisfy |x|>4 are numbers outside the interval from -4 to 4.

So x>4 or x<-4.

On a number line the solution would look like this:

***********o o**************

<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->

We have holes at -4 and 4 to mean we do not include those numbers. We would have if the inequality read $|x| \ge 4$ . The line underneath this inequality means to include or equals. We do not want to include; we did not have the equal sign. The only difference between the two solutions would be to fill the holes if you $|x| \ge 4$ .

Answer 2

Answer:

***********o o**************

<----------(-4)--------(-2)--------(0)--------(-2)----------(4)-------------->

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a parallelogram has one angle that measures 40. what are the measures of the other three angles in the parallelogram?

Answers

Since one side is 40°, you subtract that from 180.

180° - 40°= 140°.

So therefore your missing side lengths are 140, 40, and 140.

hopefully this helps

A parallelogram will always add up to 180 degrees. So if one side is 40 degrees, all you have to do is subtract 180 degrees from 40 degrees and divide by 3 and there you go!!

What scale factor did he use for the dialation A. 1/3

B. 1/2

C. 2

D. 3

Answers

C is the answer I think.

I think the answer will be C

Vicki puts 10 books on a shelf.The 10 books take up 28 centimeters.
What is the mean (average) thickness of her books?
= 2.8 cm
The shelf is 120 centimeters long.
Vicki fills the shelf with a mixture of books like the first ten books.
Estimate how many books she can get on the 120 cm shelf.
Please show your working out.
Thanx

Answers

$the\ mean\ hickness\ of\ Vicki's\ books= (28\ cm)/(10) =2.8\ cm\n\n28\ cm\ \rightarrow\ 10\ boocks\n120\ cm\ \rightarrow\ x\n\nx= (120\cdot 10)/(28) \approx42.9\n\nAns.\ Vicki\ can\ put\ 42\ books.$

What is y^4-36 in simplest factored form?

Answers

$y^4-36=(y^2)^2-6^2=(y^2-6)(y^2+6)=[y^2-(\sqrt6)^2](y^2+6)\n\n=(y-\sqrt6)(y+\sqrt6)(y^2+6)\n\n\n\n\na^2-b^2=(a-b)(a+b)$

Please help! Will give Brainliest!Christina wants to compute the cost of tiling the floor in her bathroom. The floor measures 7 feet 6 inches by 8 feet 10 inches. Each tile covers 1 square foot. A box of 45 tiles costs $35.95.

How many boxes must she buy to cover the floor?

A. 1 box

B. 2 boxes

C. 3 boxes

D. 4 boxes