The translation of the given figure will have vertices, A'(1,2), B'(3,2), C'(3,-5), and D(-1,-3) from the initial vertices A(3,9), B(5,9), C(5,2), and D(1,4). The figure is attached.

In the question, we are asked to translate the given figure 2 units left and 7 units down.

In the translation, the left-right movement implies the change in the x-coordinate, whereas the up-down movement implies the change in the y-coordinate.

For any point P(x, y) the given rule says that after translation,

P(x, y) becomes P'(x - 2, y - 7).

The coordinates of the given figure are:

A(3,9), B(5,9), C(5,2), and D(1,4).

After translation, these points can be shown as:

A(3,9) becomes A'(1,2).

B(5,9) becomes B'(3,2).

C(5,2) becomes C'(3,-5).

D(1,4) becomes D'(-1,-3).

Thus, the translation of the given figure will have vertices, A'(1,2), B'(3,2), C'(3,-5), and D(-1,-3) from the initial vertices A(3,9), B(5,9), C(5,2), and D(1,4). The figure is attached.

Learn more about translations at

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7 0

2 years ago

For every integer k from 1 to 10, inclusive the kth term of a certain sequence is given by [(−1)^(k+1)]∗[1/2^(k)].

jarptica [38.1K]

For every integer k from 1 to 10, inclusive the kth term of a certain sequence is given by [(−1)^(k+1)]∗[1/2^(k)].
If T is the sum of the first 10 terms in the sequence, then T is:

B.

A. Greater than 2
B. Between 1 and 2
C. Between 1/2 and 1
D. Between 1/4 and 1/2
E. Less than 1/4

4 0

4 years ago