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murzikaleks [220]
3 years ago
7

Which equation is a point slope form equation for line AB?

Mathematics
1 answer:
ddd [48]3 years ago
7 0

Answer:

y - 6 = -2(x-1)

Step-by-step explanation:

Given; The graph above

Required: Equation of line AB (in point slope form)

First, we need to determine the slope of the graph;

From the graph; we can observe that when y = 6, x = 1 and when y = 2, x = 3

Such that

(x_1, y_1) = (1,6)\\(x_2, y_2) = (3,2)

The slope of a line is define as thus;

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{2 - 6}{3 - 1}

m = \frac{-4}{2}

m = -2

Considering only point (x_1, y_1) = (1,6); The slope is define as thus

m = \frac{y - y_1}{x - x_1}

Substitute m = -2 and (x_1, y_1) = (1,6)

-2 = \frac{y - 6}{x - 1}

Multiply both sides by x - 1

-2(x-1) = \frac{y - 6}{x - 1} (x-1)

-2(x-1) = y - 6

Rearrange

y - 6 = -2(x-1)

Hence, the equation of the line is a point slope form is y - 6 = -2(x-1)

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Please solve the following question.
Degger [83]

The dot plot that corresponds to the given data is the second dot plot

The frequency and the percent frequency distribution are shown below

<h3>Frequency distribution</h3>

The given data is

5.6   9.9   11.3   7.5    10.0  11.9  13.2  13.8  10.0   11.9

6.5   9.0   11.2   10.9  14.6   7.2  10.0   6.0  15.8   11.3

From the question, we are to construct a dot plot

Among the given options, the dot plot that corresponds to the given data is the second dot plot

b) We are to construct a frequency distribution

The frequency distribution table is shown below

Class            Frequency

6.0 - 7.9         4

8.0 - 9.9         2

10.0 - 11.9       9

12.0 - 13.9       2

14.0 - 15.9       2

Total               19

b) We are to construct a percent frequency distribution

The percent frequency distribution table is shown below

Class            Percent Frequency

6.0 - 7.9          21.1%

8.0 - 9.9         10.5%

10.0 - 11.9        47.4%

12.0 - 13.9       10.5%

14.0 - 15.9      10.5%

Total               100%

The frequency and the percent frequency distribution are shown above

Learn more on Frequency distribution here: brainly.com/question/1094036

#SPJ1

5 0
2 years ago
2.. A cat is moving at 18 m/s when it accelerates at 5.2 m/s2 for 14
zheka24 [161]

Answer:

90.8 m/s

Step-by-step explanation:

v_1 = v_0 + at

= 18 + 5.2 * 14

= 90.8 m/s

Are you sure it's a cat?

3 0
3 years ago
Question Progress
ddd [48]

Answer: 1/250

Step-by-step explanation:

Given the recurring decimal : 0.004

Firstly:

Let x = 0.004 - - - (1)

Due to the number of decimals places and value of x;

We multiply (1) by 1000 to obtain an integer

Multiply (1) by 1000

1000x = 4 - - - (2)

From (2) we can solve for x and leave our answer as a fraction.

Divide (2) by 1000 to obtain the value of x

1000x / 1000 = 4 / 1000

x = 1 / 250

Recall x = 0.004

Therefore, x = 0.004 = 1/250

5 0
3 years ago
Find the vertex of the graph of the function.
boyakko [2]

vertex = (10, - 8)

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 10)² - 8 is in this form with (h, k) = (10, - 8) ← vertex



7 0
4 years ago
Hey guys, can someone help me with this, thank you ​
ikadub [295]

https://wa.me/message/DCN6ZX3BJZLMK1

6 0
2 years ago
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