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olga55 [171]
3 years ago
9

Write an equation of the line. Express the answer using either the general form or the​ slope-intercept form of the equation of

a line.

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

y = x - 4

Step-by-step explanation:

The standard equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the slope

Using the coordinate points (4, 0) and (0, -4)

m = -4-0/0-4

m = -4/-4

m = 1

Since the line cuts the y axis at y = -4, the y-intercept b = -4

Get the equation;

Since y = mx+b

y = 1x + (-4)

y = x - 4

This gives the required equation

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

T_1 = 5

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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

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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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The square root of it is 999.9995

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Answer:

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one month Laura rented 3 movies and 2 video games for a total of 22$. The next month she rented 5 movies and 6 video games for a
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Step-by-step explanation:

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