Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
Let's start by imagining a rock being thrown to the air.
Let's say that going up is the positive direction and so, going down is the negative.
The acceleration is pointing down (because of gravity) so it's always negative. While the rock is going up, it's velocity/speed is positive, but the acceleration is negative.
While the rock is going down, both acceleration and speed are negative.
This shows that the first statemente is true, but the second is false.
You can also think that if you define going DOWN as the POSITIVE direction, you can have both positive acceleration and speed, or positive acceleration and negative speed.
Answer: a) 720, b) 
c) 336, d) 30240 e) 120.
Step-by-step explanation:
Since we have given that
a) Number of competitors = 6
We need to find the number of ways that 6 competitors can finish a race and there are no ties.
So, Number of ways would be
b) number of people = n
Number of chairs = r (r<n)
so, the number of ways we can sit n people on r<n chairs is given by
c) If there are three awards :
Gold, silver, bronze.
We need to find the number of ways that these medals can be awarded.
Number of ways is given by
d) Number of 5-digit zip codes are possible is given by
e) Number of poeple = 10
Number of people required in committee = 3
Number of different 3 person committee that are selected from 10 people is given by
Hence, a) 720, b) c) 336, d) 30240 e) 120.
Answer:
39 Would be your best guess since the literal percent is 38.95 or 38 19/30
Step-by-step explanation:
