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<u>Given</u>:
The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)
The points are rotated 90° about the origin.
We need to determine the coordinates of the point C'.
<u>Coordinates of the point C':</u>
The general rule to rotate the point 90° about the origin is given by
Substituting the coordinates of the point C in the above formula, we get;
Therefore, the coordinates of the point C' is (-1,2)
<span>3x + y = 9 (I)
</span><span>y = –4x + 10 (II)
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</span>
Pass the incognito "4x" to the first term, changing the signal when changing sides.
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simplify by (-1)
</span>
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</span>
<span>
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</span>
<span>
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</span>
<span><span>
</span></span><span>Substitute in equation (I) to find the value of "Y".
</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
Answer:
</span><span>y = –4x + 10 (II)
------------------------
</span>
Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>
-------------------------
</span>
<span>
-------------------------
</span>
-----------
</span>
</span></span><span>Substitute in equation (I) to find the value of "Y".
</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
Answer: