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borishaifa [10]
3 years ago
9

Suppose that the functions f and g are defined for all real numbers x as follows.

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0
Hey there !

Check the attachment.
Hope it helps you :)

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Determine the image of the point (5, -2) under a rotation of 90 degrees about the origin.
Galina-37 [17]

90 degrees means 90 degrees counterclockwise.   So from the fourth quadrant we'll end up in the first quadrant.  X and Y get swapped and one negated, it must be the -2 becoming 2, so our image is

(2,5)

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What is 12 to 44 simlified
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Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule r
crimeas [40]

Option C: (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Explanation:

The triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3).

Also, given that the triangle is translated 4 units down and 3 units left.

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The triangle is shifted 4 units down means subtracting 4 units from the y - coordinate of the graph.

Thus, it can be written as y-4

Also, the triangle is shifted 3 units left means subtracting 3 units from the x - coordinate of the graph.

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Thus, the translation is given by

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The vertices of C after translation can be determined by

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Thus, (x, y) \rightarrow(x-3, y-4) ; (5,-1) is the coordinates of C after translation.

Hence, Option C is the correct answer.

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Separating the balloons into five equal groups 

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<span>each group (fifth) has three balloons ___ four-fifths is twelve</span>
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2 years ago
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