I have not done this in advance. I'm just going to write it down
and see what I can do with it:
[ 1/(x+3)² - 1/x² ] / 3
Multiply the top and bottom by (x+3)² :
[ 1 - (x+3)²/x² ] / 3 (x+3)²
Multiply the top and bottom by x² :
[ x² - (x+3)² ] / 3 x² (x+3)²
Now it's just a matter of expanding and cleaning things up,
and hope and pray that a lot of things cancel.
Eliminate the parentheses on top and bottom:
[ x² - x² - 6x -9 ] / 3 x² (x² + 6x + 9)
Combine the x² terms on top, and divide top and bottom by 3 :
[ - 2x - 3 ] / x² (x² + 6x + 9)
Finally, all I can make of this is:
- (2x + 3) / [ x(x+3) ]² .
That's not a whole lot prettier than the original form, but at least
we got rid of those fractions in the numerator of a fraction.
I hope this is some help to you.
Okay, So We First Need To Look At Our Information. We Have 24 Raspberry Pieces. So, Lets First Set This Up As A Fraction. 24 Raspberry/60 Pieces.Now, Lets Simplify The Fraction To Make It Easier. Divide Both By 12. You Get 2/5. Now, Divide. You Get 0.4. Hope This Helps!
100,000 (one hundred thousand)
The answer is: A. 20.3
The explanation is shown below:
1. By definition, the sum of the length of the strings (The length of the blue segment and the length of the red segment) is equal to the length of the major axis (The black segment).
2. Based on this, you can write the following expression, where is the length of the blue segment:
3. Now, you must solve for , as following:
4. Therefore, the answer is the option A.