Answer:
- 8pq-3pq= 5pq
- 2m-3m+4 =4-m
Step-by-step explanation:
- The first equation shows two terms can be combine as follow: 8pq-3pq= (8-3)pq by applying common factoring. Then, because 8-3=5, it can be expressed as 5pq.
- In the second equation, we have only two terms that can be factored by combining the terms that share the same factor (which is m). Then, 2m-3m+4 can be expressed like m(2-3)+4. Because (2-3)=-1 and because the order of the sum does not affect the result, the result is 4-m.
Answer: 20x+12
Step-by-step explanation:
Distribute the three: 3(7x+4) will be changed to 21x+12-x
Next group like terms, -x+21x=20x
The new equation will be 20x+12
The distance between two points is given by:
d² = (x₂-x₁)² + (y₂ - y₁)²
9 = (x₂ - 4)² + (y₂ - 2)²
Now, we can check different ordered pairs in this equation to see which satisfies it:
The one that satisfies this equation is (4 , -1).
Answer: option d.
Step-by-step explanation:
To solve this problem you must keep on mind the properties of logarithms:

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

Then, the answer is the option d.