Answer:
From the figure, it can be seen that the mage A'B'C' is obtained from the pre-image ABC by translating/shifting the vertices of the image by 7 units to the right and 6 units down.
Therefore, the rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C' is (x, y) → (x + 7, y – 6).
Answer:
5m/s;
6 seconds
Step-by-step explanation:
Given the following :
Initial position = 30 m below
He climbed at a constant rate, and was 7.5 m below after 4.5 s.
Distance climbed or covered in 4.5 seconds :
(Initial position - current position)
(30 - 7. 5)m = 22.5 meters
Using the relation:
Speed = distance covered / time taken
Therefore,
Shota's speed = 22.5m / 4.5s = 5m/s
Time taken to reach edge of volcano :
Distance left to cover = 7.5m
Speed = 5m/s
Time required to cover remaining distance :
= distance / speed
= (7.5m ÷ 5m/s) = 1.5s
Total time to reach edge :
(4.5 + 1.5)s = 6 seconds
Answer:
B
Step-by-step explanation:
- Parabola that is opening upward has the form
- Parabola opening downward has the form
- Parabola opening leftward has the form
- Parabola opening rightward has the form
Where a is a constant
Now, looking at the graph given, it takes the form
Where a is 3 (matching the answer).
Hence, B is the correct answer choice.
There have to be at least 4 ducks recovered
Answer:
Value of stamp collection = (45b + 43) cents
Step-by-step explanation:
What we have here is as follows;
if there are x 3-cent stamps, then there are 4x 10-cent stamps
So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps
Number of 2 cents stamps = b
This means that x-1 = b
Thus, x = b + 1
So the value of the stamp collection is as follows;
x 3 cents stamps = 3(b+ 1) = 3b + 3 cents
4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40
value of the 2 cents stamp = 2b cents
Total value is thus;
2b + 40b + 40 + 3b + 3 = (45b + 43) cents
