Answer:
B
Step-by-step explanation:
Consider all options:
A. Transformation with the rule

is a reflection across the x-axis.
Reflection across the x-axis preserves the congruence.
B. Transformation with the rule

is a dilation with a scale factor of
over the origin.
Dilation does not preserve the congruence as you get smaller figure.
C. Transformation with the rule

is a translation 6 units to the right and 4 units down.
Translation 6 units to the right and 4 units down preserves the congruence.
D. Transformation with the rule

is a clockwise rotation by
angle over the origin.
Clockwise rotation by
angle over the origin preserves the congruence.
1. 100000
2. 0.000000000001
3. 400
Carols age is 16
maxs age is 26
Answer:
8x +5
Step-by-step explanation:
The sum is found by combining "like" terms—those that have the same arrangement of variables.
The first expression, 2x +6, has terms 2x and 6.
The second expression, 6x -1, has terms 6x and -1.
In each case, the first term listed is first-degree in the variable x. These are "like" terms, so can be added:
... 2x +6x = (2+6)x = 8x
The second term listed in each case is a constant. These are "like" terms, so can be added:
... 6 + (-1) = 5
Then the sum of the given expressions is the sum of the results from adding like terms:
... 8x + 5