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Savatey [412]
3 years ago
13

-1     23 --- / ---- 4      24

Mathematics
1 answer:
Nastasia [14]3 years ago
4 0
The answer is 0.00347222222
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Carlota wrote the equation y + 1 = 2 (x - 3) for the line passing through the points (-1, 3) and (2, 9). Explain and correct her
Art [367]

For this case we have the following equation:


y + 1 = 2 (x - 3)

That can be rewritten in the form y = mx + b

Where:


  • m is the slope of the line
  • b is the cut point

So, we have:


y + 1 = 2 (x - 3)\\y + 1 = 2x-6\\y = 2x-6-1\\y = 2x-7

Where:


m = 2 is the slope


b = -7 is the cut point


Carlota has the following points:


(-1, 3) and (2, 9)


To know if the line y = 2x-7 passes through these points, we must replace them in the equation and the equality must be fulfilled. So:


Point (-1, 3):


Substituting:


3 = 2 (-1) -7\\3 = -2-7

3 = -9 It's false, equality is not met. The point (-1, 3) does not go through the line.


The equation written by Carlota is erroneous, the procedure to follow is:


Given(x1, y1) = (- 1, 3) and(x2, y2) = (2, 9), we find the slope:


m=\frac{(y2-y1)}{(x2-x1)}

m=\frac{(9-3)}{(2-(-1))}

m=\frac{6}{3}

m=2

We observe that the slope found by Carlota is the same. Let's see cut point "b". For this we substitute any of the points given in the equation:


y = 2x + b

Substituting (2,9) we have:


9 = 2 (2) + b\\9 = 4 + b\\b = 9-4\\b = 5

Thus, Carlota's error was at the cut-off point. The correct equation of the line that passes through the given points is y = 2x + 5

Answer:


The correct equation of the line that passes through the given points is y = 2x + 5

Carlota's mistake was at the cutoff point


5 0
2 years ago
I really need help find x in this triangle
arsen [322]

Answer:

x = 5

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

72 + 6x + 2 + 17x - 9 = 180

23x + 65 = 180 ( subtract 65 from both sides )

23x = 115 ( divide both sides by 23 )

x = 5

5 0
3 years ago
The main triangular sail on a sailboat is 25 feet tall and 10 feet wide at the bottom. If the sides of another sail are proporti
lianna [129]

Answer:

<h3>            20 feet    </h3>

Step-by-step explanation:

x  -  the hight of another sail

\dfrac{8}{10}=\dfrac x{25}\\\\x=\frac8{10}\cdot25=\frac45\cdot25=4\cdot5 = 20

4 0
3 years ago
What is the greatest common factor of 3x4, 15x3, 21x2
Sonja [21]

Answer:

3x^2

Step-by-step explanation:

6 0
2 years ago
Please help me out with these questions! Brainliest + 50 Points
11Alexandr11 [23.1K]

Step-by-step explanation:

1) B

2) A

3) C

4) C

yeahhh that's about right

8 0
3 years ago
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