Answer:
(a) Reflection across the y-axis, followed by translation 10 units down
Step-by-step explanation:
Figure 2 is not a reflection across the origin of Figure 1, so neither of the double reflections will map one to the other.
Reflection across the y-axis will put the bottom point at (5, 3). The bottom point on Figure 2 is at (5, -7), so has been translated down by 3-(-7) = 10 units.
Figure 1 is mapped to Figure 2 by reflection over the y-axis and translation down 10 units.
Answer:

Step-by-step explanation:
The given fraction is:

We need to solve it.
The LCM of 168 and 180 is 2520.
So,

So, the required answer is equal to
.
3√24 + 2√3(√3-2√18) =
3(√(4*6) + 2√3( √3-2√(2*9)) =
3*2√6 + 2√3 ( √3 - (2*3) √2) =
6√6 + 2√3(√3 - 6√2) =
6√6 + 6 - 12√3*√2 =
6√6 + 6 - 12√(6) =
6 - 6√6 = 6(1-√6)
Answer: 6/52 (Fraction)
Step-by-step explanation:
We know that there is 26 black cards, therefore 2 black 7's we also know there is four 4's in the pack therefore we add the 2 + 4 = 6 and it has to be in a fraction so it becomes 6/52