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abruzzese [7]
4 years ago
14

2000+800x40-33999???????????????????????????????????????????????????????

Mathematics
1 answer:
IgorC [24]4 years ago
8 0

Answer:

1

Step-by-step explanation:

2000+800x40=34000 then you subtract 34000-33999

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Graph the image of this figure after a dilation with a scale factor of 13 centered at the point (4, −2) .
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Answer:

From the given triangle figure;

Labelled the triangle as A , B and C.

The coordinates of this triangle ABC  are;

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B = (-2, 4)

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The rule of dilation with k= \frac{1}{3} and center at point (4,-2) is:

(x, y) \rightarrow (\frac{1}{3}(x-4)+4 , \frac{1}{3}(y+2)-2)

(x, y) \rightarrow (\frac{1}{3}x-\frac{4}{3}+4 , \frac{1}{3}y+\frac{2}{3}-2)

or

(x, y) \rightarrow (\frac{1}{3}x+\frac{8}{3} , \frac{1}{3}y-\frac{4}{3})

then, the dilation of the given figure are;

A(1, 10) \rightarrow (\frac{1}{3}\cdot 1+\frac{8}{3} , \frac{1}{3} \cdot 10-\frac{4}{3}) = (\frac{1}{3}+\frac{8}{3} , \frac{10}{3}-\frac{4}{3}) =(\frac{9}{3} , \frac{6}{3}) = A'(3 , 2)

B(-2, 4) \rightarrow (\frac{1}{3}\cdot -2+\frac{8}{3} , \frac{1}{3} \cdot 4-\frac{4}{3}) =(-\frac{2}{3}+\frac{8}{3} , \frac{4}{3}-\frac{4}{3}) =(\frac{6}{3} , \frac{0}{3}) =B'(2 , 0)

C(7, 4) \rightarrow (\frac{1}{3}\cdot 7+\frac{8}{3} , \frac{1}{3} \cdot 4-\frac{4}{3}) =(\frac{7}{3}+\frac{8}{3} , \frac{4}{3}-\frac{4}{3}) =(\frac{15}{3} , \frac{0}{3}) = C'(5 , 0)

The coordinates of dilation images are:

A' = (3,2) , B' = (2, 0) and C' = (5, 0)

You can see the graph of the dilated image as shown below:

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