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KATRIN_1 [288]
3 years ago
12

Find the distance between the two points (3, -8) and (-2,-5). Round your

Mathematics
1 answer:
Inga [223]3 years ago
3 0
The answer is C. hope this helps!

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15, 11, 7, 3, -1, ... explicit formula and recursive formula
monitta

Recursive formula is: a_n = a_{n-1} -4

Explicit formula is: a_n = 19-4n

Step-by-step explanation:

Given sequence is:

15,11,7,3,-1

Here

a_1 = 15\\a_2 = 11\\a_3 = 7

First of all, we have to find the common difference

Common difference is the difference between consecutive terms of an arithmetic sequence

So,

d = a_2-a_1 = 11-15 = -4\\d = a_3-a_2 = 7-11 = -4

<u>Recursive Formula:</u>

A recursive formula is used to find the next term of an arithmetic sequence using previous term and common difference

General form of recursive formula for a given common difference d is:

a_n = a_{n-1} + d

Putting the value of d

a_n = a_{n-1} -4

<u>Explicit Formula:</u>

The explicit formula is given by:

a_n = a_1 + (n-1)d

Putting the first term and common difference

a_n = 15 + (n-1)(-4)\\a_n = 15 -4n+4\\a_n = 19-4n

Hence,

Recursive formula is: a_n = a_{n-1} -4

Explicit formula is: a_n = 19-4n

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/726990
  • brainly.com/question/725998

#LearnwithBrainly

4 0
4 years ago
60-points,5-star ratting,A thanks and MARKED AS BRANLIEST!
vitfil [10]

Answer:

Step-by-step explanation:

31. D     6.5+8 = 14.5 > 12

32. B    -2*5= -10

33. B    -2x=6

:)

8 0
3 years ago
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Find x. Round to the nearest tenth if necessary.
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Answer:

5

Step-by-step explanation:

3+x

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Does this graph show a function. Explain
Ira Lisetskai [31]

Yes, the line passes the vertical line test (no x-values are repeated)

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Janie skates at the local skating rink for about 2.4 hours every day. If the skating rink is open 54 days a year, about how many
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About 129.6 hours every single year
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3 years ago
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