Answer:
a)
b)
c)
Step-by-step explanation:
We are given the following in the question:
1. Equivalent expression

Since all the terms are like terms, we can write,

2. Sum of given expression

3. Standard form of the expression

which is the required standard form of the given expression.
Answer:
1. Reflect ABC about the line AC and then translate 1 unit to the right.
2. Translate ABC 1 unit to the right and then reflect it about the line AC.
Step-by-step explanation:
We are given that,
ABC is transformed using glide reflection to map onto DEF.
Since, we know,
'Glide Reflection' is the transformation involving translation and reflection.
So, we can see that,
ABC can be mapped onto DEF by any of the following glide reflections:
1. Reflect ABC about the line AC and then translate 1 unit to the right.
2. Translate ABC 1 unit to the right and then reflect it about the line AC.
Hence, any of the two glide reflection will map ABC onto DEF.
Answer:
Step-by-step explanation:
Remember that in the geometric serie if | r | < 1 the serie converges and if | r | ≥1 the serie diverges.
I suppose that the serie starts at 0, so using the geometric serie with r = |
| > 1 the serie diverges.