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romanna [79]
3 years ago
13

13. Write a rule for each counterclockwise rotation about the origin:

Mathematics
1 answer:
ryzh [129]3 years ago
4 0

Answer:

180 degrees

(x,y) becomes (-x,-y)

270 degrees

(x,y) becomes (y,-x)

90 degrees

(x,y) becomes (-y,x)

Step-by-step explanation:

Here, we want to write a rule for each of the counterclockwise rotation

The rule are as follows;

180 degrees

(x,y) becomes (-x,-y)

270 degrees

(x,y) becomes (y,-x)

90 degrees

(x,y) becomes (-y,x)

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So for this, I will be using the substitution method. Firstly, subtract both sides in the second equation by 2x: 4x+3y=20\\ y=7-2x

Next, substitute y in the first equation with 7-2x, then solve for x from there:

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Now that we got x, substitute it into either equation to solve for y:

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