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Nadusha1986 [10]
3 years ago
6

Trapezoid A and trapezoid B as shown on the coordinate grid.

Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer:

Step-by-step explanation:

The missing diagram showing the trapezoids is attached in the diagram below.

There are three stages by which trapezoid A must be transformed into trapezoid B.

We can see three fundamental differences as follows:

  • rotation
  • size
  • location

As a result, we will perform the following transformations: 

  1. Right off the bat, carry out an anticlockwise rotation of Trapezoid A 90 degrees from the origin.
  2. Then, to balance the size of the dimension, elongate by a scale factor of 1/3. (As can be shown, each side is three times larger after this move, and its base is at y = -2)
  3. Finally, a three-unit down translation is carried out.

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Problem Lines AAA, BBB, and CCC show proportional relationships. Which line has a constant of proportionality between yyy and xx
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Answer:

The answer is below

Step-by-step explanation:

The correct question is attached.

Two quantities are said to be proportional if as one quantity increases, the other quantity increases. Also, as one quantity decreases, the other quantity decreases.

Given the lines A, B and C. The constant of proportionality can be gotten by  getting the equation of the line.

Line A passes through (0,0) and (1, 5). The equation of line A is given by:

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Line B passes through (0,0) and (3, 5). The equation of line A is given by:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{3-0}(x-0)\\\\y=\frac{5}{3} x

The constant of proportionality between y and x is 5/3.

Line C passes through (0,0) and (3, 2). The equation of line A is given by:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{2-0}{3-0}(x-0)\\\\y=\frac{2}{3} x

The constant of proportionality between y and x is 2/3.

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