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Lesechka [4]
2 years ago
11

Point W was translated as follows W(-4,7) -> W'(-2,4) a student wrote the algebraic rule to describe the translation as (x,y)

->(x-3,y+2) evaluate the students answer
Mathematics
1 answer:
pishuonlain [190]2 years ago
7 0
Student did it wrong. The translation is: (x,y) → (x+2, y - 3 ).
Explanation:
For x- coordinate: -4 + 2 = -2
For y- coordinate: 7 - 3 = 4
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Consider this figure of a hexagon.
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A)
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So let's exclude the triangular corners on bottom left and top right for now.
First we have a large rectangle covering most of the upper left of the polygon. 20 ft × 7 ft = 140 sq.ft.
Now we have a rectangle on the bottom right. The width is 11 ft, so take the 7 away from that, 4 ft. × 14 ft. on bottom. 4 ft × 14 ft = 56 sq.ft.
The last small rectangle fits on the right between the 2 other rectangles. It is 24-20 on top/bottom × 7-6 right/left. 4 ft × 1 ft = 4 sq.ft.
Now for the triangles: bottom left is 11-7 × 24-14 = 4 ft × 10 ft. 1/2bh = 1/2×10×4 = 20 sq.ft.
Top right is 24-20 × 11-5 = 4 ft × 6 ft. 1/2bh = 1/2×4×6 = 12 sq.ft.

B)
Add them all together for the total area (A):
A = 140 + 56 + 4 + 20 + 12 = 140+60+32
= 232 sq.ft.

Hope that explains it well enough! ;)
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