Answer:
Reflection
Step-by-step explanation:
A rotation would be to rotate a figure around the origin
A reflection would be to reflect the figure around one of the axes.
A translation would be to move a figure a certain amount of units.
Since A and A' are 2 units away from the y-axis, and C, B, B', and C' are all one unit away from the y-axis, this could not be a translation because the position of A'B'C' is not the same position of ABC.
It could not be a rotation around the origin or any point because it would result the figure in either Quadrant 2 or 3, and in the one occasion it would be in Quadrant 1, the figure cannot be in that position.
This reveals only one option, that which is a reflection. A reflection about the x-axis would not make sense, since it would result in Quadrant 3, so a reflection around the y-axis would make the most sense.
The data we have above also accounts for a reflection, since all points are a certain distant away from the y-axis.
Let's say the number is x.
The equation will be:
1/3x + 12 = x
(one third of a number + 12 equals to the number)
Solving the equation:
subtract 1/3x from both sides:
12 = 2/3x
divide by 2
6 = 1/3x
multiply with 3
18 = x
Your number is 18, its one-third is 6, which is 12 less than the number itself.
Answer:
hmmm
Step-by-step explanation:
yeah
-5T^2 + 45t
to find the x intercepts equate to 0 and silve for t
-5t^2 + 45t= 0
-5t(t - 9) = 0
t = 0 and 9 These are the x intercepts
the vertex can be found by converting the function to vertex form
(ht) = -5(t^2 - 9t)
= -5[ (t - 4.5t)^2 - 20.25]
so the coordinates of the vertex are t = 4.5 and h(t) = -5 * -20.25 = 101.25
( 4.5 , 101.25)
The maximum height is 101.25 m and time it takes to reach this height is 4.5 seconds.