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belka [17]
3 years ago
14

The slope of the line passing through the points (6,-1) and (7,2) is

Mathematics
1 answer:
liberstina [14]3 years ago
4 0
The answer will be 3 or it will be 3/1
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Can someone help me with these and show the work also?
Snezhnost [94]

QUESTION:

Simplify each expression

ANSWER:

1.) \green{{- 8n}}

2.) \green{{- 2b - 60}}

3.) \green{{- 10x - 14}}

4.) for number 4 study my step-by-step explanation so you can answer that

STEP-BY-STEP EXPLANATION:

1.) First, If the term doesn't have a coefficients, it is considered that the coefficients is 1

WHY?

Learn why:

Why is it considered that the coefficient is 1?

Remember that any term multiplied by \blue{{1}} remains the same :

\blue{{1}} {× x = x}

Step 1:

The equality can be read in the other way as a well, so any term can be written as a product of \blue{{1}} and itself:

{x = } \blue{{1}} {× x}

Step 2:

Usually, we don't need to write multiplacation sign between the coefficient and variable, so the simple form is:

{x = 1x}

This is why we can write the term without the coefficient as a term with coefficient {1}

Now let's go back to solving as what i said if a term doesn't have a coefficient, it is considered that the coefficient is 1

{n - 9n}

\red{{1}} {n -9n}

Second, Collect like terms by subtracting their coefficients

\red{{1n - 9n}}

\red{{( 1 - 9)n}}

Third, Calculate the difference

how?

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from larger

\red{{1 - 9}}

\red{{- (9 - 1)}}

Subtract the numbers

- (\red{{9 - 1}})n

- \red{{8}}n

\green{\boxed{- 8n}}

2.) First, Distribute - 6 through the parentheses

how?

Multiply each term in the parentheses by - 6

\red{{- 6(b + 10)}}

\red{{- 6b - 6 × 10}}

Multiply the numbers

- {6b} - \red{{6 × 10}}

- {6b} - \red{{60}}

Second, Collect like term

how?

Collect like terms by calculating the sum or difference of their coefficient

\red{{- 6b + 4b}}

\red{{(- 6 + 4)b}}

Calculate the sum

\red{{(- 6 + 4)}}b

\red{{-2}}b

\green{\boxed{- 2b - 60}}

3.) First, Distribute 2 through parentheses

how?

Multiply each term in the parentheses by 2

\red{{2(x - 5)}}

\red{{2x - 2 × 5}}

Multiply the numbers

{2x -} \red{{2 × 5}}

{2x -} \red{{10}}

Second, Distribute - 4 through the parentheses

how?

Multiply each term in the parentheses by - 4

\red{{- 4(3x + 1)}}

\red{{- 4 × 3x - 4}}

Calculate the product

- \red{{4 × 3}}x - 4

- \red{{12}}x - 4

Third, Collect like terms

how?

Collect like terms by subtracting their coefficient

\red{{2x - 12x}}

\red{{(2 - 12)x}}

Calculate the difference

\red{{(2 - 12)}}x

\red{{- 10}}x

Fourth, Calculate the difference

how?

Factor out the negative sign from the expression

\red{{- 10 - 4}}

\red{{- (10 + 4)}}

Add the numbers

- (\red{{10 + 4}})

- \red{{14}}

\green{\boxed{- 10x - 14}}

That's all I know sorry but I hope it helps :)

6 0
2 years ago
The correlation between height and weight for a certain breed of plant is found to be 0.75. What percentage of the variability i
WINSTONCH [101]

Answer:

The percentage of the variability in plant weight is NOT explained by height is  

      p = 43.75%

Step-by-step explanation:

From the question we are told that

      The correlation between height and weight is  r = 0.75

Generally the R-Squared  between height and weight is mathematically represented as

        R - square  =  r^2

substituting values

         R - square  =  0.75^2

         R - square  =  0.563

This R-Squared tells us the percentage of plant weight is accounted by height

and from the calculation we see that it is  56.3%

Now the percentage of plant weight that is not accounted by height is

          p =  100 - 56.3

          p = 43.75%

3 0
3 years ago
Is is right? If not, please correct me (:
Illusion [34]

Answer:

undefined

0

Step-by-step explanation:

The formula for slope is

m = (y2-y1)/ (x2-x1)

We have points

(-7,2) (-7,-7)

m = (-7-2) /(-7--7)

   = -9/(-7+7)

   = -9/0

This is undefined

We have points

(-8,-3) (6,-3)

m = (-3--3) /(6--8)

   = (-3+3/(6+8)

   = 0/14

0

6 0
3 years ago
HELP PLEASE AND NO LINKS!!
Alinara [238K]

Answer: 112

Step-by-step explanation:

educated guess

7 0
3 years ago
Find the value of x<br> I give you 10 points if you help
mestny [16]

Step-by-step explanation:

x = 55

I hope this is helpful

4 0
3 years ago
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