To flip any of the points to map up correctly to the other points, you would have to do a reflection over the y-axis. The reasoning for this is because you cannot dilate your shape because it won't map over correctly. A translation will not work, mainly because the shape still needs to flip. A rotation will also not work because when you rotate it, the shape will still not map over your new one.
-So your answer to this question would be that only a Reflection over the y-axis will allow the two shapes to map over each other correctly.
Answer: AB = 9
Step-by-step explanation:
Since B is the midpoint, AB and BC must be congruent (since theyre both half of the segment). The equation is:
2x + 5 = 5x - 1
This means x = 2, meaning AB is 9.
The correct equation is P(t) = Po*e^(kt). Please enclose "kt" inside parentheses and use the " ^ " symbol to indicate exponentiation.
"k" is the growth constant, which here is 0.017. "t" is the number of yeasrs. P(7) is the population after 7 years. Po is the initial population, which in this case is 91 million.
The initial value, when t = 0, is 91 million.
After 7 years, the population, P(7), was P(7) = (91 million)*e^(0.017*7). This evaluates to P(7) = (91 million)*(1.070) = 96 million
Answer:
is linearly dependent set.
Step-by-step explanation:
Given: 
is a linearly dependent set in set of real numbers R
To show: the set is linearly dependent.
Solution:
If 
is a set of linearly dependent vectors then there exists atleast one 
such that 
Consider 
A linear transformation T: U→V satisfies the following properties:
1. 
2. 
Here, 
∈ U
As T is a linear transformation,
As is a linearly dependent set,
for some 
So, for some
Therefore, set is linearly dependent.
