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steposvetlana [31]
3 years ago
8

What is the slope of the line between the points (2,-1) and (5,-3)

Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer:

The slope of the line between the points (2,-1) and (5,-3) is m=-\frac{2}{3}

Therefore m=-\frac{2}{3}

Step-by-step explanation:

Given that the line between the points (2,-1) and (5,-3)

To find the slope of the line between the points (2,-1) and (5,-3) :

The formula for slope is m=\frac{y_2-y_1}{x_2-x_1}

Let (x_1,y_1) , (x_2,y_2) be the given points (2,-1) and (5,-3) respectively

Now substitute the values of the points in the formula

m=\frac{-3-(-1)}{5-2}

=\frac{-3+1}{3}

=\frac{-2}{3}

Therefore m=-\frac{2}{3}

The slope of the line between the points (2,-1) and (5,-3) is m=-\frac{2}{3}

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If c= the number of cars in a parking lot, which algebraic expression
DIA [1.3K]

Answer:

Option C) c+9 is correct

The sum of the number of cars and 9=c+9 is correct algebraic expression representation for given phrase

Step-by-step explanation:

Given that c=the number of cars in a parking lot.

The phrase given is "the sum of the number of cars and 9"

To find the algebraic expression which represents the given phrase :

The algebraic expression to the given phrase is c+9

That is option C) c+9 is correct

The sum of the number of cars and 9=c+9 is correct algebraic expression representation for given phrase

5 0
3 years ago
Every month, Jim makes $49 less than his best friend Keenan.
ad-work [718]

Answer:

m+49=d ; d-49 = m

Step-by-step explanation:

Jim $ = m

Keenan $ = d

m+49=d ; d-49=m

btw please lmk if i get this wrong

6 0
2 years ago
Read 2 more answers
Determine whether the three segment lengths will produce a triangle. Type yes or no in the space provided.
tresset_1 [31]

Answer:

20 , 20 , 30 will produce a triangle

Step-by-step explanation:

* Lets study how to know if the lengths of the three segments

 can formed a triangle

- It is a fact that in any triangle the sum of the smallest two sides

 must be greater than the largest side

- Lets study some examples

# If the lengths of the three segments are 5 , 6 , 7

∵ 5 and 6 are the smallest

∴ 5 + 6 = 11

∵ 11 > 7 ⇒ the sum greater than the 3rd side

∴ 5 , 6 , 7 can formed a triangle

# If the lengths of the three segments are 5 , 7 , 12

∵ 5 and 7 are the smallest

∴ 5 + 7 = 12

∵ 12 = 12 ⇒ the sum equal the 3rd side

∴ 5 , 7 , 12 can not formed a triangle

# If the lengths of the three segments are 10 , 12 , 24

∵ 10 and 12 are the smallest

∴ 10 + 12 = 22

∵ 22 < 24 ⇒ the sum less than the 3rd side

∴ 10 , 12 , 24 can not formed a triangle

* Now lets solve the problem

∵ The length of the three segments are 20 , 20 , 30

∵ 20 and 20 are the smallest

∴ 20 + 20 = 40

∵ 40 > 30 ⇒ the sum greater than the 3rd side

∴ 20 , 20 , 30 will produce a triangle

5 0
3 years ago
Carlo’s Bakery is having a special where he packages 6 muffins together for a low price and he packages 20 cookies together for
DaniilM [7]

Answer:

They sold 60 muffins and 60 cookies yesterday

It is a LCM problem

Step-by-step explanation:

6 muffins together

20 cookies together

To sell the same amount of muffins and cookies,

Find the lowest common multiple of 6 muffins and 20 cookies

6 muffins = 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78

20 cookies = 40, 60, 80

The lowest common multiple of 6 muffins and 20 cookies is 60

Therefore,

They sold 60 muffins and 60 cookies yesterday

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6 0
3 years ago
Jeremy is reading a 60-page book. He read the first 20 pages in 30 minutes. If Jeremy continues to read a the same rate, how lon
Alex73 [517]

It will take total 90 minutes to finish the book and 60 minutes to read the left 40 pages.

<h3>What is Ratio and Proportion ?</h3>

When two numbers can be written as p/q is called a Ratio , and when two ratios are equal they are said to be in proportion .

It is given that

Jeremy is reading a 60-page book.

The time taken to read  20 pages is 30 minutes

Then it can be written as 20:30 = 2:3

The rate of reading is same so To read the rest 40 pages is given by

40:x

40: x = 2:3

40*3/2 = x

x = 60 minutes

Therefore it will take total 90 minutes to finish the book and 60 minutes to read the left 40 pages.

To know more about Ratio and Proportion

brainly.com/question/26974513

#SPJ1

8 0
2 years ago
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