Answer:
- 8(4x - 3) + 6 = 32x -18
- 6(2x+7) = 12x + 42
Step-by-step explanation:
8(4x-3) + 6
Step 1: Distribute the 8 into (4x - 3).
- 8(4x) = 32x
- 8(-3) = -24
- 8(4x - 3) = 32x - 24
Step 2: Substitute 32x - 24 back into the equation and simplify.
- 32x - 24 + 6
- Simplify: -24 + 6 = -18
- Result: 32x -18
6(2x+7)
Step 1: Distribute the 6 into (2x + 7)
- 6(2x) = 12x
- 6(7) = 42
- Result: 12x + 42
The linear equation representing the above said pair of points is "y=12x+9"
Step-by-step explanation:
The given set of points are
x Y
1 21
2 33
3 45
4 57
For finding the linear equation for the given sets of value
We must know the generic form of a linear equation is y=m*x + c
m= slope of the line where y= Δy/Δx
Δy= change in y value
Δx= change in x value
Thus slope ”m” = 33-21/2-1 = 12
we put slope “m” in the equation which becomes y=12x+c
Now we put any of the set value in the equation
33= 12*2+c ∴ c=9
Hence required linear equation is y=12x+9
So first you plot the figure into two parts ( I just drew a horizontal line across to make to rectangles)
Rectangle one= 3*2
= 6
Rectangle two =6*2
=2
12+6=20
Trevor's, the area of the figure is 20m^2