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ololo11 [35]
3 years ago
12

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −6? Drag each choice into t

he boxes to correctly complete the table. Parallel Perpendicular Neither
line n, with slope −6 line p, with slope 16 line q, with slope −16line

m, with slope 6
Mathematics
1 answer:
sesenic [268]3 years ago
8 0

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −6?

Parallel, slope is the same, perpendicular slope is opposite and reciprocal

so

line n, with slope −6 , same slope -----> Parallel

line p, with slope 1/6 , opposite and reciprocal  -----> Perpendicular

line q, with slope −1/6 , -----> Neither

line  m, with slope 6, -----> Neither

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a recipe calls for a total of 3 2/3 cups of flour and sugar. it the recipe calls for 1/4 cup of sugar, how much flour is needed?
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Answer:

This is very detailed as I wish to make some principles about fractions clear.

3

5

12

Explanation:

This question boils down to  

3

2

3

−

1

4

A fractions structure is that of:

count

size indicator of what you are counting

→

numerator

denominator

You can not directly add or subtract the counts (numerators) unless the size indicators (denominators) are the same.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider  

3

2

3

Write as  

3

+

2

3

Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way something looks without changing its true value

[

3

×

1

]

+

2

3

[

3

×

3

3

]

+

2

3

 

9

3

   

+

2

3

 

=

 

11

3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Putting it all together

3

2

3

−

1

4

 

→

 

11

3

−

1

4

But the size indicators are not the same. I chose to make them become 12

11

3

−

1

4

 

→

 

[

11

3

×

1

]

−

[

1

4

×

1

]

               

→

 

[

11

3

×

4

4

]

−

[

1

4

×

3

3

]

               

→

     

44

12

     

−

 

3

12

Now we may subtract the counts

               

→

 

44

−

3

12

 

=

 

41

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But this is the same as  

12

12

+

12

12

+

12

12

+

5

12

                         

=

 

1

2

+

2

1

2

+

2

1

2

+

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=

 

3

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Step-by-step explanation:


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