Respuesta :
The possible ratio to represent Thompson's trip is 3:2.
Given that, Thompson down the street from his home to Cameron’s house. Along the way, he stopped at a bakery to pick up cupcakes. If he began at (0,6), ended at (6,-6), and stopped at the bakery at (4,-2).
We need to find what are the possible ratios to represent his trip.
What is the distance formula to find the distance between two coordinates?
The distance formula to find the distance between two coordinates is Distance=[tex]\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }[/tex].
Now, the distance between (0,6) and (6,-6).
Distance=√(6-0)²+(-6-6)²
=√36+144
=√180=6√5 units
The distance between (0,6) and (4,-2).
Distance=√(4-0)²+(-2-6)²
=√16+64
=√80=4√5 units
Then, ratio=6√5/4√5=3/2
Therefore, the possible ratio to represent Thompson's trip is 3:2.
To learn more about the ratios visit:
https://brainly.com/question/13419413.
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