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Doss [256]
3 years ago
10

− ( x + 3 ) − 2 ( 4 x − 3 ) I need the correct steps

Mathematics
1 answer:
lianna [129]3 years ago
8 0

Answer:

-9x + 3

Step-by-step explanation:

You would distribute first.

− ( x + 3 ) − 2 ( 4x − 3 ) → -x − 3 − 8x + 6

(If you see a negative sign in front of a parenthesis without a number, its usually a negative 1)

From there, you would combine like terms.

-x − 3 − 8x + 6 → -9x + 3

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What is the perimeter of a polygon with vertices at (−2, 1) , ​ (−2, 4) ​, (2, 7) , ​ (6, 4) ​, and (6, 1) ​?
alekssr [168]
First we need the distances of the sides of the polygon, because perimeter = sum of all sides.
d =  \sqrt{{(y2 - y1)}^{2} + {(x2 - x1)}^{2} }
d1 =  \sqrt{{(1 - 4)}^{2} + {( - 2 -  - 2)}^{2} } \\  =  \sqrt{{(- 3)}^{2} + {(0)}^{2} } =  \sqrt{9}  \: = 3
d2 = \sqrt{{(4 - 7)}^{2} + {( - 2 - 2)}^{2} } \\  = \sqrt{{(- 3)}^{2} + {( -4)}^{2} } =  \sqrt{9 + 16}  \\  =  \sqrt{25}  \: = 5
d3 \: = \sqrt{{(7 - 4)}^{2} + {(2 - 6)}^{2} } \\  =  \sqrt{{(3)}^{2} +  {( - 4)}^{2} } =  \sqrt{9 + 16}  \\  =  \sqrt{25} \:  = 5
d4 = \sqrt{{(4 - 1)}^{2} + {(6 - 6)}^{2} } \\  =  \sqrt{ {(3)}^{2} +  {(0)}^{2}  }  =  \sqrt{9} \:  = 3
d5 = \sqrt{{(1 - 1)}^{2} + {(-2 - 6)}^{2} }  \\ =  \sqrt{ {(0)}^{2} +  {( - 4)}^{2}} =  \sqrt{16}  \:  = 4
Now, we add all sides for the perimeter:
p = d1 + d2 + d3 + d4 + d5
p = 3+5+5+3+4 = 20 units





5 0
3 years ago
Read 2 more answers
Describe the invention process. What is involved in inventing, and what must you consider during the invention process?
andrew11 [14]

Answer:

Idea for an Invention may be developed on paper or on a computer, by writing or drawing, by trial and error, by making models, by experimenting, by testing and/or by making the invention in its whole form. Brainstorming also can spark new ideas for an invention.

Step-by-step explanation:


5 0
3 years ago
Which is the correct algebraic expression after combining like terms? 6+8x-7-x
Anarel [89]

Answer:

7x -1 is correct after combining like terms

Step-by-step explanation:

6+8x-7-x

To simplify algebraic expression we combine like terms

In the given expression

-x  or -1x  are same

8x  and -1x  are like terms

6 and -7 are also like terms

8x-1x= 7x

6 - 7 = -1

So 7x -1 is correct after combining like terms

3 0
3 years ago
Name the sampling method used in each of the following situations:
elixir [45]

Answer:

a) Convenient

b) Cluster

c) Stratified

d) Systematic

e) Random

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

Situation a:

Asks all from a single group(sitting passengers), that is, convenint sample.

Situation b:

First she separates the students by row, then from each row, she chooses all students. So this is Cluster sampling.

Situation c:

The manager separates the stores by location, and then in each location, random customers are chosen. This is an example of Stratified sampling.

Situation d:

Marks for every fourth patron, that is, every 4th element. So Systematic sampling.

Situation e:

People chosen at random, so Random sampling.

6 0
3 years ago
Help me pls ❤️❤️❤️ ty to the person who decides to help ❤️
stellarik [79]

Answer:

8/5

Step-by-step explanation:

this is a slope formula which formats y=mx+b

m being the slope

and b being the y-intercept

so no need to look far, and no need to solve anything but 8/5 would be your y-intercept

:)) have a great day!

6 0
3 years ago
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