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worty [1.4K]
3 years ago
9

Which fraction is greater 17/30 and 27/35

Mathematics
2 answers:
dezoksy [38]3 years ago
7 0
27/30 is the grater fraction
astraxan [27]3 years ago
4 0
27/35 is the greatest factor
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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


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3 years ago
What is the measure of angle b
tigry1 [53]

Answer:

36°

Step-by-step explanation:

By remote interior angle theorem:

b + 81° = 117°

b = 117° - 81°

b = 36°

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31,800 is how many tens
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SashulF [63]

Answer:

sln

14v-10=14v

14v-14v=10

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Ella’s Cafe uses 3/10 of a bag of coffee every day. For how many days will 2 7/10 bags of coffee last? Simplify your answer and
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