Answer:
26.1533936612
Step-by-step explanation:
bc
h= 6 square root 3
24^2+6 square root 3^2=684
square root 684=26.1533936612
It will go in it 9 times cause 9*20=180
Answer:
see explanation
Step-by-step explanation:
Given
4x - 8x ÷ 2
Under the rules of PEMDAS , division must be performed before subtraction.
Hence
4x - 8x ÷ 2 = 4x - 4x ← dividing - 8x by 2, then
4x - 4x = 0 ← correct answer
Answer:
![\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}](https://tex.z-dn.net/?f=%5Cfrac%7B%7By%7D%5E%7B2%7D%2B13y-6%7D%7B%7B%28y-1%29%7D%5E%7B2%7D%28y%2B7%29%7D)
Step-by-step explanation:
1) Rewrite
in the form
, where a = y and b = 1.
![\frac{y}{{y}^{2}-2(y)(1)+{1}^{2}}+\frac{6}{{y}^{2}+6y-7}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B%7By%7D%5E%7B2%7D-2%28y%29%281%29%2B%7B1%7D%5E%7B2%7D%7D%2B%5Cfrac%7B6%7D%7B%7By%7D%5E%7B2%7D%2B6y-7%7D)
2) Use Square of Difference:
.
![\frac{y}{{(y-1)}^{2}}+\frac{6}{{y}^{2}+6y-7}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B%7B%28y-1%29%7D%5E%7B2%7D%7D%2B%5Cfrac%7B6%7D%7B%7By%7D%5E%7B2%7D%2B6y-7%7D)
3) Factor
.
1 - Ask: Which two numbers add up to 6 and multiply to -7?
-1 and 7
2 - Rewrite the expression using the above.
![(y-1)(y-7)](https://tex.z-dn.net/?f=%28y-1%29%28y-7%29)
Outcome/Result: ![\frac{y}{(y-1)^2} +\frac{6}{(y-1)(y+7)}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B%28y-1%29%5E2%7D%20%2B%5Cfrac%7B6%7D%7B%28y-1%29%28y%2B7%29%7D)
4) Rewrite the expression with a common denominator.
![\frac{y(y+7)+6(y-1)}{{(y-1)}^{2}(y+7)}](https://tex.z-dn.net/?f=%5Cfrac%7By%28y%2B7%29%2B6%28y-1%29%7D%7B%7B%28y-1%29%7D%5E%7B2%7D%28y%2B7%29%7D)
5) Expand.
![\frac{{y}^{2}+7y+6y-6}{{(y-1)}^{2}(y+7)}](https://tex.z-dn.net/?f=%5Cfrac%7B%7By%7D%5E%7B2%7D%2B7y%2B6y-6%7D%7B%7B%28y-1%29%7D%5E%7B2%7D%28y%2B7%29%7D)
6) Collect like terms.
![\frac{{y}^{2}+(7y+6y)-6}{{(y-1)}^{2}(y+7)}](https://tex.z-dn.net/?f=%5Cfrac%7B%7By%7D%5E%7B2%7D%2B%287y%2B6y%29-6%7D%7B%7B%28y-1%29%7D%5E%7B2%7D%28y%2B7%29%7D)
7) Simplify
to ![{y}^{2}+13y-6y](https://tex.z-dn.net/?f=%7By%7D%5E%7B2%7D%2B13y-6y)
![\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}](https://tex.z-dn.net/?f=%5Cfrac%7B%7By%7D%5E%7B2%7D%2B13y-6%7D%7B%7B%28y-1%29%7D%5E%7B2%7D%28y%2B7%29%7D)