The translation that maps triangle ABC to A prime B prime C prime would be a reflection across the y axis. This is because when you reflect something, you are pretty much flipping it. When you reflect across the y axis, you are flipping the triangle across the y axis. Take one point for example. I will use C. Notice how the point C is 3 units away from the y axis. So the same way you would move the point 3 units right from the y axis, and that would be your new point. This sounds kind of complicated, so I will give you a list of rules to make it more simple.
Reflection across y axis: (x,y) would be equal to (-x, y)
Reflection across x axis: (x,y) would be equal to (x, -y)
Reflection across y = x: (x,y) would be equal to (y,x)
Reflection across y = x: (x,y) would be equal to (-y,-x).
A reflection across y = x would be when you have a line that for every 1 it rises, it goes right 1. It is a positive line, as opposed to the y = -x line. It also has a slope of 1. I will try attaching a graph if I can.
Anyway, as I was saying. So pretty much if you don't want to go through the logic, to see whether a figure is reflected, just try each of these rules and if one works then you have your answer. Otherwise it would not be a reflection.
Thanks for being a great mod and hope this helps! :D
<u><em>Answer:</em></u>
Option 3
<u><em>Explanation:</em></u>
<u>To get the value of the cheapest bike, best option, we will calculate the total cost of each bike:</u>
<u>i- Option 1:</u>
Total cost = $88
<u>ii- Option 2:</u>
$5 down payment and $8 per week for 10 weeks
Total cost = 5 + 8(10) = 5 + 80 = $85
<u>iii- Option 3:</u>
$12 down payment and $5 per month for 12 months
Total cost = 12 + 5(12) = 12 + 60 = $72
<u>iv- Option 4:</u>
$20 down payment and $20 per month for 12 months
Total cost = 20 + 20(12) = 20 + 240 = $260
<u>Now, from the above calculations, we can conclude that:</u>
The best price would be that of option 3 ($72). It is the lowest price compared to other option.
Hope this helps :)
Answer:
64.3 lumens
Step-by-step explanation:
Data provided in the question:
Length of the testing chamber = 35 cm
Light at one end = 10 lumens
Light at other end = 200 lumens
now,
since the variation is linear,
therefore, the gradient of the variation
= 
= 5.43
also,
the darkest end is the end with 10 lumens
therefore,
The lumens at 10 cm from the darkest end
= 10 + 5.43(10)
= 10 + 54.3
= 64.3 lumens
