A figure is dilated by a scale factor of 3. If the origin is the center of dilation, what is the image of a vertex located at (3
1 answer:
Answer:
(9,12).
Step-by-step explanation:
If a figure dilated by a scale factor of k and origin is the center of dilation, then the relation between point and its image is defined as
It is given that a figure is dilated by a scale factor of 3 and origin is the center of dilation. So,
We need to find the image of a vertex located at (3, 4). So, substitute x=3 and y=4 in the above rule of dilation.
Therefore, the image of a vertex located at (3, 4) is (9,12).
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Answer:
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2)
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Step-by-step explanation:
Given : Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%.
To Find : The probability of each event.
1) P(at least one boy and one girl)
2) P(two boys and one girl)
3) P(at least two girls)
Solution :
Let's represent a boy with B and a girl with G
Mr. and Mrs. Romero are expecting triplets.
The possibility of having triplet is
BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG
Total outcome = 8
1) P(at least one boy and one girl)
Favorable outcome = BBG, BGB, BGG, GBB, GBG, GGB=6
2) P(at least one boy and one girl)
Favorable outcome = BBG, BGB, GBB=3
3) P(at least two girls)
Favorable outcome = BGG, GBG, GGB, GGG=4