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Eddi Din [679]
3 years ago
9

|x|, if x=10; .3; 0; −2.7; −9

Mathematics
1 answer:
alekssr [168]3 years ago
5 0

Answer:

For \left | x \right | we will have positive values only.

\left | -2.7 |\right =2.7

\left | -9 |\right =9

Rest are positive so will give positive values out of the modulus function.

Step-by-step explanation:

The absolute value of any number is its positive value only.

As for example (-2.7) and (2.7) both are having equal distance from 0 in a number line, one on the left other on the right side of the number line but are equidistant from 0.

So absolute value of a number is its distance on number line from reference point 0.

One by one we will work with all of our question.

\left | 10 |\right =10

\left | 0.3 |\right =0.3

\left | 0 |\right =0

\left | -2.7 |\right =2.7

\left | -9 |\right =9

So we have to take the positive number out of the modulus function that is also called absolute value.

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Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts
Mashutka [201]

Answer:

20 fence posts.

Step-by-step explanation:

Calvin is building a fence. The fence will enclose a 100 square foot area, 10 ft wide by 10 ft long. Calvin can put fence posts 2 feet apart.

Now, if he puts a fence post at each corner of the building, then considering each length of the building there will be (\frac{10}{2} + 1) = 6 posts along each length.

Now, considering each width of the building there will be (\frac{10}{2} - 1) = 4 posts (excluding the corner posts) along each width.

Therefore, in total there will be (6 + 6 + 4 + 4) = 20 fence post in the total fence. (Answer)

5 0
3 years ago
Which triangles are similar by the angle-angle criterion for similarity of triangles ?
Alex Ar [27]

Answer:

Option D is correct.

\triangle ADE \sim \triangle ABC

Step-by-step explanation:

In triangle ADE and triangle ABC

From the figure:

\angle ADE = \angle ABE  [Angle]             [Given]

\angle DAE = \angle BAC  [Angle]

AA(Angle-Angle) similarity criterion states that in two triangles if two pairs of corresponding angles are equal, then these triangle Similar.

By AA similarity:

⇒\triangle ADE \sim \triangle ABC

5 0
3 years ago
Which of the following are solutions to the inequality -7x+14>-3x-6? Select all that apply.
JulijaS [17]

-7x+14>-3x-6

add 7x to each side

14> 4x-6

add 6 to each side

20>4x

divide by 4

5>x

x<5

solutions

3,0,-3,-5,-10

6 0
3 years ago
Read 2 more answers
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Charra [1.4K]

Answer:

the download cost for a song is $1 and $11 for a movie

Step-by-step explanation:

According to the questions, the following equations are as follows:

Let us assume the song be x

And, the movies be y

So,

20x + 13y = $163.........(i)

13x + 13y = $156........(ii)

Now solve substract second equation from the first equation

7x = $7

x = $1

And the y value is

20 + 13y = $163

13y = $163 - $20

13y = $143

y = $11

Hence, the download cost for a song is $1 and $11 for a movie

5 0
3 years ago
At a certain bookstore, you get a $5 coupon for every 4 books you buy. What is the least number of books you could buy to get $1
zalisa [80]

Answer:

12books

Step-by-step explanation:

4 books → 1 $5 coupon

$15 coupon = $15 / $5 = 3times of $5 coupons

3 $5 coupons → 4 x 3 = 12 books

this is a topic on forming and solving equations. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting notes for many topics and will also be posting some tips :)

7 0
3 years ago
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