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3 years ago

- 1 (multiplicity 3), 3 (multiplicity 4)

Mathematics

1 answer:

Vinil7 [7]3 years ago

4 0

Answer:

-1,81

Step-by-step explanation:

Multiplicity of a number can be written as power

for example

-1(multiplicity 3) can be written as

$-1^{3}$ = -1

similiarly 3(multiplicity 4) can be written as

$3^{4}$ =81

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Help me out with this

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Let's follow the transformations that happen to A, to get to A' and A''.

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It moves to (-5, 2) which is where A' is located. Note the x coordinate stays the same while the y coordinate flips from negative to positive. This must mean we applied a reflection over the x axis.

That rule in general is $(x, y) \rightarrow (x,-y)$

------------------------------------

Now compare A'(-5,2) and A''(1,4). We can shift A' 6 units to the right and then 2 units up so we move from A' to A''.

Algebraically this is stated as $(x,y) \rightarrow (x+6, y+2)$

Whatever the x coordinate is, add 6 to it. For the y coordinate, we add on 2.

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The same applies to moving C' to C''

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In summary, we started off by reflecting over the x axis. Then we applied the translation rule of "shift to the right 6 units, shift up 2 units".

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