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DiKsa [7]
2 years ago
14

Use the equation √4x+15 - 3√x How many potential solutions are there? ​

Mathematics
1 answer:
topjm [15]2 years ago
7 0
There is one potential solutions and no extraneous solutions.
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59.7%

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True or False
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Answer:

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One characteristic of a reflection that is useful for answering this question is that it always reverses the clockwise/counterclockwise orientation of a figure. Rotation and translation have no effect on that orientation.

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1. translation by reflection

Reflection across two parallel lines has the net effect of translating a figure twice the distance between the parallel lines. So, one way to effect a translation using two lines of reflection is to draw one of them through the perpendicular bisector of a point and its translated image. Then the other line would be drawn parallel to the first through the image point.

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2. translation by rotation

A single point can be moved from one set of coordinates to another by rotating around any point on the perpendicular bisector of the original and its image. To "undo" the change in direction of other points in the image, the image can be rotated an equal angle in the reverse direction about the point that is in its proper place.

That is, if we rotate figure ABC an amount of X° about a point on the perpendicular bisector of AA', so that A ends up at A', then the translation can be finished by rotating that figure by -X° about point A'.

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True: translation can be replaced by two rotations

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3. rotation by reflection

As discussed above, reflection changes orientation and rotation does not.

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False: rotation can be replaced by reflection

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4. reflection by rotation and translation

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False: reflection can be replaced by rotation and translation

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