We have the expression
, note that both terms have the factor 2x, if we factor this out, we are left with:
2x(4x + 5)
If you redistribute it you can see that it equals
Hope this helps! :)
Answer:
<em>Width = 6k²</em>
<em>Length = 5k+1</em>
Step-by-step explanation:
Given the area of a rectangle expressed as
A = 30k³ + 6k²
Get the greatest common factor
30k³ = (2 * 3 * k²) * k * 5
6k² = (2 * 3 * k²)
The common factor is the value in bracket i.e 2 * 3 * k² = 6k²
<em>Width of the rectangle = 6k²</em>
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Get the length
A = LW
L = A/W
L = 30k³ + 6k²/6k²
L = 6k²(5k+1)/6k²
L = 5k + 1
<em>Hence the length L = 5k+1</em>
Answer:
Step-by-step explanation:
1) in order to graph the required direct line it needed two points:
2) one of these two points is Y-intercept. According to the condition it is (0;1);
3) in order to find the second point, it is enough to apply the given slope: to start in point (0;1), then to move to the left direction (-5 units, move no. 1), then to move up (+7 units, move no. 2);
4) to graph the line between two points (red line); y= -7/5x +1.
All the details are in the attachment.