Answer:
See the attachment. (All results are integers, so are correct to 6 decimal places.)
Step-by-step explanation:
The function simplifies to ...
... f(x) = x(x-9)/((x+1)(x-9))
... f(x) = x/(x+1) . . . for x ≠ 9

I used the Pythagorean formula, which is a² + b² = c².
a² and b² are the two side legs while c² is the hypotenuse.
One of the side is 42 - 8 = 34 cm.
Answer:
307/500
Step-by-step explanation:
307 is a prime number.
The way to find this out is to take 0.614 and multiply it by 1,000 because then it will be a natural number. 0.614*1,000=614.
now you take 614/1,000 because that's what you multiplied it by and simplify it.
614/2 and 1,000/2=307/500 and this cannot be simplified any more than this because 307 is a prime number.
Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.