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andrew11 [14]
3 years ago
8

Write a description of the three different possibilities that may occur when graphing a system of two linear equations.

Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0
There could be an infinite number of solutions, one solution, or no solution at all.
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9514 1404 393

Answer:

  • positive
  • negative

Step-by-step explanation:

The thrust of the question is to make sure you understand that increasing the y-coordinate of a point will move the point upward, and decreasing it will move the point downward.

That is adding a positive value "k" to x^2 will move the point (x, x^2) to the point (x, x^2+k), which will be above the previous point by k units.

If k is subtracted, instead of added, then the point will be moved downward.

The blanks are supposed to be filled with <u> positive </u>, and <u> negative </u>.

_____

<em>Comment on the question</em>

The wording of the statement you're completing is a bit odd. If k is negative (-2, for example), this statement is saying the graph is translated down -2 units. It is not. It is translated down |-2| = 2 units. The direction of translation depends on the sign of k. The amount of translation depends on the magnitude of k.

If you thoroughly understand (x, y) coordinates and how they are plotted on a graph, it should be no mystery that changing the y-coordinate will change the vertical position of the graph.

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gavmur [86]

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Image attached. This is geometry and I’m confused.
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Answer:

90 degrees

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Point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid. The distance between the two points is _____.
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Answer:

d = 1.1 units

Step-by-step explanation:

Since the x- coordinates of the 2 points are equal, both 3, then they lie on a vertical line. The distance between the 2 points is the difference in the y- coordinates, that is

d = | 2.4 - 1.3 | = | 1.1 | = 1.1 units

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