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: s= -5/3
Step-by-step explanation: hope this helps!
Answer:
The answer is 'The slope of g(x) is less than the slope of f(x)'
Step-by-step explanation:
Given the graphs of f(x) and g(x). we have to compare the slops of these two.
The graph of f(x) passes through the points (1,0) and (2,2)
∴ 
The graph of g(x) passes through the points (0,2) and (2,3)
∴ 
As 
This shows that the
The slope of g(x) is less than the slope of f(x).
The area <em>A</em> of a trapezoid with height <em>h</em> and bases <em>b</em>₁ and <em>b</em>₂ is equal to the average of the bases times the height:
<em>A</em> = (<em>b</em>₁ + <em>b</em>₂) <em>h</em> / 2
We're given <em>A</em> = 864, <em>h</em> = 24, and one of the bases has length 30, so
864 = (<em>b</em>₁ + 30) 24 / 2
864 = (<em>b</em>₁ + 30) 12
864 = (<em>b</em>₁ + 30) 12
72 = <em>b</em>₁ + 30
<em>b</em>₁ = 42
78....................................................
