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Slav-nsk [51]
3 years ago
11

Evaluate 2 1/2 + (- 7/6) - 1 3/4

Mathematics
1 answer:
ladessa [460]3 years ago
8 0

Answer:

-5/12 or .416

Step-by-step explanation:

Convert 2 1/2 to 5/2 and 1 3/4 to 7/4 then just solve from there!

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Answer:

48

Step-by-step explanation:

7+16+5+20=48

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Which rectangle if reflected over the x-axis and then translated 8 units right will result in rectangle E?
Komok [63]

Answer:

Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E

Step-by-step explanation:

The coordinates of rectangle D are:

(-1, 1)

(-1, 4)

(-3, 1) and

(-3, 4)

The rule of reflection across x-axis is given by:

(x, y) \rightarrow (x , -y)

(-1, 1) \rightarrow (-1 , -1)

(-1, 4) \rightarrow (-1 , -4)

(-3, 1) \rightarrow (-3 , -1)

(-3, 4) \rightarrow (-3 , -4)

Next, translate this 8 unit right which is given by:

(x, y) \rightarrow (x+8 , y)

(-1, -1) \rightarrow (-1+8 , -1) =(7, -1)

(-1, -4) \rightarrow (-1+8 , -4) =(7, -4)

(-3, -1) \rightarrow (-3+8 , -1) =(5, -1)

(-3, -4) \rightarrow (-3+8 , -4) =(5, -4)

⇒(7, -1) , (5, -1) , (5, -4) and (7, -4) represents the coordinate of rectangle E.

Therefore, Rectangle D if reflected over the x-axis and then translated 8 units right will result in rectangle E

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Step-by-step explanation:

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