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hdhtvthjr
17.02.2021 •
Mathematics
Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
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Ответ:
When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:
(K*a, K*b)
In this case, we can find the original coordinates of the endpoints of the original segment.
Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.
The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).
The first endpoint is (6, 9) and (12, 12)
Now we apply a dilation with a scale factor K = 2/3.
then we get the points:
((2/3)*6, (2/3)*9) = (4, 6)
and the other point is:
((2/3)*12, (2/3)*12) = (8, 8)
Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)
The segment can be seen in the graph below.
Ответ:
6:36:12
Step-by-step explanation:
1+6+2=9
54÷9=6
1×6=6
6×6=36
2×6=12
and to double-check you can add them up and you should get the total amount