£384 in the ration 3:4:5

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The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Answers

The equation of line passes through points $\left({ - \,4, - \,3}\right)$ and $\left({12,1}\right)$ in standard form is $\boxed{{\mathbf{x - 4y = 8 }}}$ .

Further explanation:

It is given that a line passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ .

The slope of a line passes through points $\left({{x_1},{y_1}}\right)$ and $\left({{x_2},{y_2}}\right)$ is calculated as follows:

$m=\frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}{\text{ }}$ ......(1)

Here, the slope of a line is denoted as and points are $\left({{x_1},{y_1}}\right)$ and $\left({{x_2},{y_2}}\right)$ .

Substitute for ${x_1}$ , $-3$ for ${y_1}$ , $12$ for ${x_2}$ and $1$ for ${y_2}$ in equation (1) to obtain the slope of a line that passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ .

$\begin{aligned}m&=\frac{{1 - \left({ - 3}\right)}}{{12 - \left({ - 4}\right)}}\n&=\frac{{1 + 3}}{{12 + 4}}\n&=\frac{4}{{16}}\n&=(1)/(4)\n\end{aligned}$

Therefore, the slope is $(1)/(4)$ .

The point-slope form of the equation of a line with slope $m$ passes through point $\left({{x_1},{y_1}}\right)$ is represented as follows:

$y - {y_1}=m\left({x - {x_1}}\right){\text{}}$ ......(2)

Substitute for ${x_1}$ , $1$ for ${y_1}$ and $(1)/(4)$ for $m$ in equation (2) to obtain the equation of line.

$\begin{aligned}y - 1&=(1)/(4)\left({x - 12}\right)\n4\left({y - 1}\right)&=x - 12\n4y - 4&=x - 12\nx - 4y&=8\n\end{aligned}$

Therefore the standard equation of line that passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ is $x - 4y = 8$ .

Thus, theequation of line passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ in standard form is $\boxed{{\mathbf{x - 4y = 8 }}}$

Learn more:

1. Which classification best describes the following system of equations? brainly.com/question/9045597

2. What is the value of in the equation when ? brainly.com/question/3965451

3. What are the values of x?brainly.com/question/2093003

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords:Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics,equation of line, line, passes through point

6 times the sum of a number and 15 is -42

Answers

Answer:

x=-22

Step-by-step explanation:

6(x+15)=-42

6x+90=-42

6x=-132

x=-22

Maybe - 9.5? Cause 6• -9.5 = -57 + 15 = -42

There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several weeks later, the overall change in the water level is found. The results are shown in the table. What is the range of the data?2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6

Answers

The range of the data is 4.2

what is range of the data?

The range in statistics for a given data set is the difference between the highest and lowest values.

Given:

2.2, 0.3, -1.5, 2.6, 1.9, 0.4, 0.6, -1.6, 2.5, -0.6

Arranging the data in some order

-1.6 , -1.5, -0.6, 0.3, 0.4, 0.6, 1.9, 2.2, 2.5, 2.6

So, range

=highest data - lowest data

=2.6 - (-1.6)

=2.6+1.6

=4.2

Hence, the range is 4.2.

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Answer:

The range is -4.2

Step-by-step explanation:

Least to Greatest:

-1.6

-1.5

-0.6

0.3

0.4

0.6

1.9

2.2

2.5

2.6

Subtract Least Number from Greatest Number

-1.6 - 2.6

=-4.2

Find a5: 0, 3, 8, 15, a5, 35, ... a. 20

b. 22

c. 24

d. 25

Answers

1X1-1: 0
2X2-1: 3
3X3-1: 8
4X4-1: 15
5X5-1: 24
6X6-1: 35
7X7-1: 48
*8X8-1: 63*

Final answer:

In the sequence 0, 3, 8, 15, a5, 35, the term a5 equals 24 as each term in the sequence is the square of its position minus 1.

Explanation:

To determine the value of a5 in the sequence 0, 3, 8, 15, a5, 35,... let's first analyze the pattern in the sequence. Each term equals the square of the term's position in the sequence minus 1. This implies that the first term is (1²-1)=0, the second term is (2²-1)=3, the third term is (3²-1)=8, and so on. Hence, the fifth term a5 would be (5²-1)=24. So, the answer is c. 24.

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Transformati in metri: 4 dam. 5hm 2475cm. 14 573mm.0,0124

Answers

1 dam = 10 mt
1 hm = 100 mt
1 cm = 0,01 mt
1 mm = 0,001

*4 dam
4*10 = 40mt

*5 HM
5*100 = 500mt

*2475 cm
2475*0.01 = 247.500 mt

* 14 573mm
14573 * 0.001 = 14.573

Find the number: 2 x 10⁴ + 3 x 10² + 5 x 10⁰.

Answers

Answer: 20305

Note: 10 to the power of zero is 1.

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