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slavikrds [6]
3 years ago
11

Use greatest common factor and the distributive property to write an equivalent expression in factored form for the following Ex

pressions 4d + 12e​
Mathematics
2 answers:
aksik [14]3 years ago
8 0
To solve this find the common number that can be divided by both and use that number.

In this case, 4 is divisible by both 4 and 12, and thus the final expression would be

4(d + 3e).

Vinil7 [7]3 years ago
3 0

Answer:

4(d+3e)

Step-by-step explanation:

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3 years ago
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3 years ago
Reuben learned in art class that a mosaic is made by arranging small pieces of colored material such as glass or tile to create
anastassius [24]

Pattern is the rule that guides the formation of a set.

  • <em>The sequence of the first five mosaics is 5, 8, 11, 14, 17</em>
  • <em>The sequence is arithmetic</em>
  • <em>There are 32 tiles in the tenth mosaic.</em>

From the given design, the number of tiles used is:

T_1 = 5

T_2 = 8

T_3 = 11

<u />

<u>(a) The first five</u>

Notice that the difference in the number of tiles of successive mosaic is 3.

This means that:

T_4 = T_3 + 3 = 11 +3 = 14

T_5 = T_4 + 3 = 14 +3 = 17

So, the sequence of the first five mosaics is 5, 8, 11, 14, 17

<u>(b) The type of sequence</u>

The sequence is arithmetic

This is so, because the difference in the number of tiles of successive mosaic is 3.

This difference is called the common difference

<u>(c) The number of tiles in the tenth mosaic</u>

The nth term of an arithmetic sequence is:

T_n = T_1 + (n - 1) \times d

In this case:

T_1 = 5

d =3

n = 10

So, we have:

T_{10} = 5 + (10 - 1) \times 3

T_{10} = 5 + 9 \times 3

T_{10} = 5 + 27

T_{10} = 32

There are 32 tiles in the tenth mosaic.

Read more about arithmetic sequence at:

brainly.com/question/18109692

5 0
2 years ago
Hiii please help i’ll give brainliest if you give a correct answer tysm!
sleet_krkn [62]

Answer:

d 380

Step-by-step explanation:

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