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n200080 [17]
3 years ago
9

Point S is reflected about the x-axis in the coordinate plane and then rotated 90°

Mathematics
1 answer:
VikaD [51]3 years ago
8 0

Answer:

D. S’ is the result of switching coordinates of S.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Type of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is reflected along the x axis, the new point is A'(x, -y). If a point A(x, y) is rotated 90°  counterclockwise about the origin, the new point is A'(-y, x).

Let us assume that S is at (x, y). Hence, if point S is reflected about the x-axis in the coordinate plane to get (x, -y). If it is then rotated 90°  counterclockwise about the origin, the new point is at  S'(y, x). S’ is the result of switching coordinates of S

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Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

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3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

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Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

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