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2 years ago

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.

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

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

$T_1 = 5$

$T_2 = 8$

$T_3 = 11$

(a) The first five

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

(b) The type of sequence

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

(c) The number of tiles in the tenth mosaic

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%

7 0

3 years ago

Read 2 more answers