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qaws [65]
3 years ago
8

PARALLEL PERPENDICULAR OR NEITHER

Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

Answer:

Parallel

Step-by-step explanation:

Using these points, we can determine that the equation is as follows:

Line B: y = -2/3x + 7/3

And since Line A has the same slope, it would make Line A's equations like this:

Line A: y = -2/3x - 11/3

This makes these equations Parallel to each other because they have the same slope with different y-intercepts.

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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

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