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babymother [125]
4 years ago
5

Can someone help me with this question please?

Mathematics
1 answer:
tester [92]4 years ago
8 0
Lets w is width
length =  2w - 3 

w(2w - 3) = 14
2w^2 - 3w = 14
2w^2 - 3w - 14 = 0
(2w - 7)(w + 2) = 0

2w - 7 = 0
w = 7/2 = 3.5

l = 2w -3 = 2(3.5) - 3 = 4

answer:
width = 3.5
length = 4
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D'(-6, 0) is the image of point D(-2, 0) under a dilation about the origin (0,0) with a scale factor of 3, as shown in attache figure below.

Please check the attache graph below where you can check the plot of the image D' of point D.

Step-by-step explanation:

As the point D on the coordinate plane has the vertex location

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The rule of dilation about the origin (0,0) with a scale factor of 3:

The rule states that if we dilate the point, let say D(-2, 0), under a dilation about the origin (0,0) with a scale factor of 3, all we need to multiple the coordinates of the point D with 3. The result will be the image of point D.

so

  • P(x, y)           →         P'(3x, 3y)
  • D(-2, 0)         →         D'(-6, 0)                ∵ (-2×3, 0×3)=(-6, 0)

Therefore, the image of point D under a dilation about the origin (0,0) with a scale factor of 3 can be plotted at the location D'(-6, 0).

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Please check the attache graph below where you can check the plot of the image D' of point D.

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