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Alexeev081 [22]
4 years ago
13

Find the slope of the line that passes through (3,2) and (8,8)

Mathematics
2 answers:
IrinaK [193]4 years ago
6 0

Answer:

6/5

Step-by-step explanation:

Slope = Rise/Run = y2-y1/x2-x1

aniked [119]4 years ago
6 0

Answer:

Your slope would be \frac{6}{5}

(6/5)

Step-by-step explanation:

The equation for finding the slope of something is \frac{y2-y1}{x2-x1}

So you would write it as \frac{8-2}{8-3}, which gives you \frac{6}{5}.

I hope that helped/is correct!

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3 years ago
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In how many ways can 5 different novels, 4 different mathematics books, and 1 biology book be arranged on a bookshelf if
zalisa [80]

Question Continuation:

if   (a) the books can be arranged in any order?  

(b) the mathematics books must be together and the novels must be together?

Answer:

(a) 3628800  ways

(b) 17280 ways

Step-by-step explanation:

Given

Novels = 5

Mathematics = 4

Biology = 1

Solving (a): In any order

This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.

Total number of books is:

N = Mathematics + Novel + Biology

N = 4+5+1

N = 10

The number of arrangement is:

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

10! = 3628800\ ways

(b):

If the mathematics books are together, there are 4! different  arrangements

If the novels are together, there are 5! different arrangements

Now, there are 3 bundles.

  • The mathematics books as 1
  • The novels as 1
  • The biology book

This can be arranged in 3! ways.

Total number of arrangement is:

Total = 4! * 5! * 3!

Total = 4*3*2*1 * 5*4*3*2*1 * 3*2*1

Total = 17280\ ways

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Step-by-step explanation:

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