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Angelina_Jolie [31]
2 years ago
7

What happens to the graph of the line y = mx + b if the value of b is decreased?

Mathematics
1 answer:
ollegr [7]2 years ago
7 0

Answer:

The lines moves lower.

Step-by-step explanation:

The steepness of a line is related to the slope, m.

b is the y-intercept, not the slope.

b is where the line intersects the y-axis.

Changing b changes the vertical position of the line.

Answer: The lines moves lower.

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Please help me now plz
sergey [27]

Answer:

x=12

Step-by-step explanation:

The right side is a right triangle

The base is 1/2 of the bottom or 5

The height is x and the hypotenuse is 13

We can use the Pythagorean theorem

a^2 +b^2 = c^2

5^2 +x^2=13^2

25+x^2 = 169

Subtract 25 from each side

25-25+x^2 = 169-26

x^2 =144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x= 12

4 0
3 years ago
There are 8 swimmers in the swimming club. The club bought c swimming caps to split among its members. Write an expression that
love history [14]

Answer:

c/8

Step-by-step explanation:

This is division. This can be figured out by reading "split". If something is to be split, it is the dividend.

5 0
2 years ago
Read 2 more answers
Two congruent 30-60-90 triangles are placed,as shown,so that they overlap partly and their hypotenuses coincide. If the hypotenu
Ede4ka [16]

Answer: The area common to both triangle is 31.77 sq. cm.

Step-by-step explanation:

Since we have given that

30-60-90 triangles are placed.

So, the ratio of sides would be

1:\sqrt{3}:2

Since Hypotenuse = 12 cm

So, it becomes,

2x=12\\\\x=\dfrac{12}{2}=6

So, Base would be

x=6\ cm

and Perpendicular would be

\sqrt{3}x=6\sqrt{3}

So, Area common to the both triangles would be

\dfrac{1}{2}\times base\times height\\\\=\dfrac{1}{2}\times 6\times 6\sqrt{3}\\\\=18\sqrt{3}\\\\=31.177

Hence, the area common to both triangle is 31.77 sq. cm.

4 0
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
3 years ago
It is almost the end of the grading period. I have 730 out of 880 points so far in my math class which means I currently have a
maksim [4K]
What is being asked here? Are they asking for the passing grade or the total with all the other 90 points added? I think it is A, 90%
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3 years ago
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