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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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Step-by-step explanation:

Simplifying

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Combine like terms: -0.07a + (-3.92a) = -3.99a

1.17 + -3.99a = 0

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1.17 + -3.99a = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1.17' to each side of the equation.

1.17 + -1.17 + -3.99a = 0 + -1.17

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