Which of the following compositions produces the same image as R 0,-180?

1 answer:

5 0

The transformation RO - 180° means rotation of - 180°.

That is half-turn clockwise.

When you apply that rotation, the coordinates of a point (x,y) transforms into coordinates (-x,-y).

So, any coomposition that is equivalent to half-turn will produce the same image as RO - 180°.

These are some examples:

1) RO 90° and RO 90° (because 90° + 90° = 180° and that is equivalent to -180°).

2) RO - 90° and RO - 90° (because - 90° - 90° = - 180°).

3) RO 90° and RO - 270° (becasue 90° - 270° = - 180°).

At the end there are infinite combinations equivalent to Ro - 180°, so, given that you did not include the set of choices, I have provided the explanations and examples which teachs you how to test any combination of rotations.

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Ronch [10]

Hopes this helps:

Answer: D.

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LekaFEV [45]

Answer:

$(a + 2)( {a}^{2} - 2a + 4 )(2 {x}^{ 3} + 1)$

Step-by-step explanation:

$2x^6+17x^3+8 \\ = 2x^6+16x^3 + {x}^{3} +8 \\ = 2{x}^{3} ( {x}^{3} + 8) + 1( {x}^{3} + 8) \\ = ( {x}^{3} + 8)(2 {x}^{ 3} + 1) \\ = ( {x}^{3} + {2}^{3} )(2 {x}^{ 3} + 1) \\ = (a + 2)( {a}^{2} - 2a + {2}^{2} )(2 {x}^{ 3} + 1) \\ = (a + 2)( {a}^{2} - 2a + 4 )(2 {x}^{ 3} + 1) \\$