Answer:
32
Step-by-step explanation:
So the order of the points is: GHJK
GH = x+10 =JK
HJ=8
JK=2x-4
JK = x+10=2x-4
x+10=2x-4
10+4=2x-x
x=14
GH= 14+10 =24
GJ = GH +HJ = 24+ 8=32
$150 divided amongst himself and friends (3) which equals 50, so add $50 to Sam’s share.
So I did this:
y=x +2
y=3x-4
I used the first equation to plug into the second equation.
x+2= 3x -4
I subtracted 3 from both sides so I get
-2x+2=-4
So I subtract 2 from both sides so I get
-2x=-6
I divide -2 on both sides and so I get
x=3
Then I plug the x into either equation. I did the first equation.
y=3+2
y=5
So x=3 and y=5
Answer:
![a=[2q^{2}r]](https://tex.z-dn.net/?f=a%3D%5B2q%5E%7B2%7Dr%5D)
![b=[3s^{2}t]](https://tex.z-dn.net/?f=b%3D%5B3s%5E%7B2%7Dt%5D)
Step-by-step explanation:
we have

we know that
![8q^{6}r^{3}=(2^{3})(q^{2})^{3}r^{3}=[2q^{2}r]^{3}](https://tex.z-dn.net/?f=8q%5E%7B6%7Dr%5E%7B3%7D%3D%282%5E%7B3%7D%29%28q%5E%7B2%7D%29%5E%7B3%7Dr%5E%7B3%7D%3D%5B2q%5E%7B2%7Dr%5D%5E%7B3%7D)
![27s^{6}t^{3}=(3^{3})(s^{2})^{3}t^{3}=[3s^{2}t]^{3}](https://tex.z-dn.net/?f=27s%5E%7B6%7Dt%5E%7B3%7D%3D%283%5E%7B3%7D%29%28s%5E%7B2%7D%29%5E%7B3%7Dt%5E%7B3%7D%3D%5B3s%5E%7B2%7Dt%5D%5E%7B3%7D)
therefore
![a=[2q^{2}r]](https://tex.z-dn.net/?f=a%3D%5B2q%5E%7B2%7Dr%5D)
![b=[3s^{2}t]](https://tex.z-dn.net/?f=b%3D%5B3s%5E%7B2%7Dt%5D)
substitute

![[2q^{2}r]^{3} +[3s^{2}t]^{3}=([2q^{2}r]+[3s^{2}t])([2q^{2}r]^{2} -[2q^{2}r][3s^{2}t]+[3s^{2}t]^{2})](https://tex.z-dn.net/?f=%5B2q%5E%7B2%7Dr%5D%5E%7B3%7D%20%2B%5B3s%5E%7B2%7Dt%5D%5E%7B3%7D%3D%28%5B2q%5E%7B2%7Dr%5D%2B%5B3s%5E%7B2%7Dt%5D%29%28%5B2q%5E%7B2%7Dr%5D%5E%7B2%7D%20-%5B2q%5E%7B2%7Dr%5D%5B3s%5E%7B2%7Dt%5D%2B%5B3s%5E%7B2%7Dt%5D%5E%7B2%7D%29)
![[2q^{2}r]^{3} +[3s^{2}t]^{3}=([2q^{2}r]+[3s^{2}t])([4q^{4}r^{2}] -6[q^{2}r][s^{2}t]+[9s^{4}t^{2}])](https://tex.z-dn.net/?f=%5B2q%5E%7B2%7Dr%5D%5E%7B3%7D%20%2B%5B3s%5E%7B2%7Dt%5D%5E%7B3%7D%3D%28%5B2q%5E%7B2%7Dr%5D%2B%5B3s%5E%7B2%7Dt%5D%29%28%5B4q%5E%7B4%7Dr%5E%7B2%7D%5D%20-6%5Bq%5E%7B2%7Dr%5D%5Bs%5E%7B2%7Dt%5D%2B%5B9s%5E%7B4%7Dt%5E%7B2%7D%5D%29)
Answer:
60%
Step-by-step explanation:
