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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:

144°

Step-by-step explanation:

First, find the area of the circle, with the formula A = \pir²

Plug in 10 as the radius, and solve

A = \pir²

A = \pi(10²)

A = 100\pi

Using this, create a proportion that relates the area of the sector to the degree measure of the arc.

Let x represent the degree measure of the arc of the sector:

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Cross multiply and solve for x:

100\pix = 14400\pi

x = 144

So, the degree measure of the sector arc is 144°

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Answer:

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What do you want to find out? > The rate at which Bill puts shringles on a rood. What do you know? > Bill and Chip each fi
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Answer:

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Step-by-step explanation:

Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...

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