Which genetically modified organism will best prevent farmers from losing their crops during transport to grocery stores? orange
1 answer:
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The dilation transformation gives an image that is similar to the pre-image
but have a different size.
- Please find attached the required graph of the image created with MS Excel
Reasons:
Points on the figure are; A(-7, -3), B(-3, -2), C(-4, -5)
The scale factor of dilation = 3
The center of dilation = (-7, -6)
Required:
The graph of the image following the dilation.
Solution:
The given points relative to the center of dilation are;
(-7 - (-7), -3 - (-6)) = (0, 3)
(-3 - (-7), -2 - (-6)) = (4, 4)
(-4 - (-7), -5 - (-6)) = (3, 1)
Following the dilation gives;
3 × (0, 3) = (0, 9)
3 × (4, 4) = (12, 12)
3 × (3, 1) = (9, 3)
Adding the coordinates of the center of dilation to the above relative points of the image gives;
Location of point A' = (0 + (-7) , 9 + (-6)) = (-7, 3)
Location of point B' = (12 + (-7) , 12 + (-6)) = (5, 6)
Location of point C' = (9 + (-7) , 3 + (-6)) = (2, -3)
Therefore, the image is; A'(-7, 3), B'(5, 6), C'(2, -3)
Learn more about dilation transformation here:
Answer:
50 minutes
Explanation:
We can set this up as a rate * time = distance problem. We can set the rate at which Amanda travels to work to be x, since that quantity is unknown. The time it takes is given to be 60 minutes. This means that the total distance she travels to get to work is 60x. On the other hand, the way back home has more unknown quantities. The exact rate is unknown, but we do know that it is 20% more than the rate at which Amanda travels to work. This means that the rate is x + .20x, or 1.2x. We can set the time to be y, which means the total distance she travels to get back home is 1.2xy. We are told that Amanda uses the same route to get to and from work, which means 60x = 1.2xy. All we have to do now is solve this equation:
If we divide through by x and then isolate y, we get that it takes Amanda 50 minutes to get home