Given that the coordinates of the point A is (2,7) and the coordinates of the point B is (6,3)
We need to determine the midpoint of A and B
Midpoint of A and B:
The midpoint of A and B can be determined using the formula,
Substituting the points (2,7) and (6,3) in the above formula, we get;
Adding the numerator, we have;
Dividing the terms, we get;
Thus, the midpoint of the points A and B is (4,5)
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Answer: 
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If 
, the function is translated up "k" units.
If 
, the function is translated down "k" units.
If 
, the function is reflected across the x-axis.
If 
, the function is reflected across the y-axis.
Therefore, knowing those transformations and given the exponential parent function:
If it is reflected across the y-axis and the it is translated down 4 units, we can determine that the resulting function is:
Step-by-step explanation:
part A:
ABCD is transformed to obtain figure A′B′C′D′:
1) by reflection over x-axis, obtain the image :
A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)
2) by translation T (7 0), obtain the image :
A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)
part B:
the two figures are congruent.
the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)
8 is to 64 as 2 is to 16
x=16
