Answer:
Step-by-step explanation:
To find the slope, rearrange the equation to y=mx+b or y=mx+c.
Subtract 4x from both sides:
Divide 5 on both sides:
In the equation of y=mx+b/y=mx+c, m will be the slope.
Therefore, the slope is
√(1/121) = √1 / √121 = 1 / 11 = <em>11⁻¹</em>
M+k because the subtraction sign and negative cancel out to become positive
Answer:
Hope this helps...
Step-by-step explanation:
P stands for polynomial time. NP stands for non-deterministic polynomial time. Definitions: Polynomial time means that the complexity of the algorithm is O(n^k), where n is the size of your data (e. g. number of elements in a list to be sorted), and k is a constant.
Now, a German man named Norbert Blum has claimed to have solved the above riddle, which is properly known as the P vs NP problem.
1. Given that the width of the rectangle is x, and the area of the rectangle may be represented by the equation x^2 + 5x = 300, we can solve this equation for the width (x) as such:
x^2 + 5x = 300
x^2 + 5x - 300 = 0 (Subtract 300 from both sides)
(x - 15)(x + 20) = 0 (Factorise x^2 + 5x - 300)
From this, we get: x = 15 or x = -20
Since the width must be a positive length (ie. more than 0), -20 would be an invalid answer in the given context and thus the width is given by x = 15.
2. If we know that the length is 5 inches more than the width, we simply need to add 5 to the width we found above to obtain the length:
Length = x + 5
Length = 15 + 5 = 20
Thus, the width of the rectangle is 15 inches and the length of the rectangle is 20 inches.
