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koban [17]
3 years ago
14

Factor the GCF: 12x2y + 6x2y3 – 9xy? (4 points)

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0
The GCF is the biggest number that goes into all of the terms. The biggest coefficient for x and y multiplied together. The GCF in these answers is to the left of the parenthesis.
If you multiply the GCF into he parenthesis you will get the original equation. On the other hand, the biggest number that goes into all of the terms is 3x * 1y = 3xy
Now you know the GCF, multiply it out in both of those answers and pick the one that is the original equation
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Read 2 more answers
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided or the upload
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Answer:

  • m = (2-(-2))/(2-(-2)) = 4/4 = 1
  • y +2 = 1(x +2)

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (x1, y1) is ...

  y -y1 = m(x -x1)

To find the slope of the line, find the ratio of the difference in y-values of the points to the difference in corresponding x-values. Here, the slope is ...

  m = (2 -(-2))/(2 -(-2)) = 4/4 = 1 . . . work to compute slope

The problem statement tells you x1 = -2, y1 = -2. Putting the numbers in to the point-slope form gives ...

  y -(-2) = 1(x -(-2))

  y + 2 = x + 2 . . . equation form with m, (x1, y1) filled in

__

The answer at the top leaves the slope shown as 1. We don't know how much simplification you are expected to do. Obviously, this <em>could</em> be simplified to y=x, but then the use of (-2, -2) for the point would not be obvious.

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