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Sliva [168]
3 years ago
5

Solve for x. 3(3x - 1) + 2(3 - x) = 0

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0
The equation given in the question is
3(3x - 1) + 2(3 - x) = 0
9x - 3 + 6 - 3x = 0
6x + 3 = 0
6x = - 3
x = - (3/6)
   = - (1/2)
So the value of x as has been determined above is -1/2. I hope the procedure is clear enough for you to understand.<span>You can always use this method for solving problems that are similar in type without requiring any help from outside. </span>



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What is the image of point (4, 5) after a counterclockwise rotation of 270º about the origin?
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A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.

Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.

A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
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Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
3 0
3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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andrew-mc [135]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
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