Answer:
The coefficient of a²b³c is -720
Step-by-step explanation:
Given:
Let 2a-b = x and 3c = y
General term of binomial expansion.
where, n=6 , r=1 ( because exponent of c is 1)
----------(1)
Now, we simplify (2a-b)⁵
The exponent of b is 3 and a is 2 .
If we take r=3 will get exponent of b is 3 and a is 2
So, put r=3
Substitute into equation (1)
Hence, The coefficient of a²b³c is -720
Answer:
The slope of the line given by the linear equation is -2
The slope of the line shown in the graph is -1
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
The rule of the slope of a line is m = , where
Let us use these rules to answer the question
∵ The linear equation is y = -2x + 7
→ By comparing it with the form of the linear equation above
∴ m = -2
∵ m is the slope of the line represented by the given equation
∴ The slope of the line given by the linear equation is -2
From the given figure
∵ The line passes through points (6, 0) and (0, 6)
∴ x1 = 6 and y1 = 0
∴ x2 = 0 and y2 = 6
→ Substitute them in the rule of the slope above to find it
∵ m =
∴ m = -1
∵ m is the slope of the line shown in the graph
∴ The slope of the line shown in the graph is -1
