Answer:
The corresponding point is (1,-4)
Step-by-step explanation:
we know that
The point (1,-8) is on the graph of f(x)
so
that means
For 
therefore
For the function 1/2f(x)
For 
The corresponding point is (1,-4)
Answer:
160.0012
Step-by-step explanation:
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
25² = ( 20 + 5 )² This is the square of a binomial:
( a + b )² = a² + 2 a b + b²
625 = 20² + 2 · 20 · 5 + 5²
625 = 400 + 200 + 25
625 = 625 ( correct )
V=(LxWxH)/3 so, V= (9x12x15)/3 = 1,620/3 = 540m^3. From here you multiply 540m^3 by 3,000kg/m^3 and get 1,620,000kg. Then you divide 1,620,000kg by 2,000kg/metric tonne and get 810 metric tonnes.
