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.
Answer:
Step-by-step explanation:
If you meant " | ", as in |x|, that's "absolute value." The domain of this function is "all real numbers," and the range is "all real numbers zero or greater."
For the function f ( x ) = x² we have the new function f 1 ( x ) = 1/2 x².
f ( x ) = a · x²
- If |a| < 1 the graph is compressed vertically by a factor of a.
- If |a| > 1 the graph is stretched vertically by a factor of a.
Here: a = 1/2 < 1
Answer:
C. The graph will be compressed vertically.
$46.46 for both rooms to have carpet
Answer:
Geometric Mean = 9.17
Step-by-step explanation:
Here,
a = 7
b = 12
Geometric mean = root(ab)
= root( 7 x 12)
= root(84)
= 9.17