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morpeh [17]
3 years ago
9

2 8 18 32 50 please show the working out

Mathematics
1 answer:
Yakvenalex [24]3 years ago
6 0
50 - 32 = 18, 32 - 18 = 14, 18 - 8 = 10, 8 - 2 = 6.

6
10
14
18

They increase by 4 more than the last increase. The next three in the sequence would be:

72, 98, 128.

I hope this helps.
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If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?
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Answer:

<em>B</em> (x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)

Step-by-step explanation:

<u>Dilations</u>

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B \mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}

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