Answer: W=-1.8
Step-by-step explanation:
Divide both sides by 2.02 and you are left with W=-1.8.
Hope this helps!
We have to find the GCF (Greatest Common Factor) of 48 and 42 here...
Factors of 48:
1,2,3,4,6,8,12,16,24,48
Factors of 42:
1,2,3,6,7,14,21,42
The largest common factor of these two numbers is 6.
So, there can be a maximum of 6 members in the club..
Hope this helped!
A piece of wire is cut into two pieces. That means each part would be assigned an unknown variable. Let one part be x and the other part be y.
That means,
![x+y=15\operatorname{cm}](https://tex.z-dn.net/?f=x%2By%3D15%5Coperatorname%7Bcm%7D)
If the longer part is x, and the longer part is 3cm longer than the shorter part, then we would have the following;
![\begin{gathered} x+y=15 \\ x=y+3 \\ \text{This is because x is 3cm longer,} \\ So\text{ the length of x would be y+3} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2By%3D15%20%5C%5C%20x%3Dy%2B3%20%5C%5C%20%5Ctext%7BThis%20is%20because%20x%20is%203cm%20longer%2C%7D%20%5C%5C%20So%5Ctext%7B%20the%20length%20of%20x%20would%20be%20y%2B3%7D%20%5Cend%7Bgathered%7D)
We can now refine the equation as follow;
![\begin{gathered} \text{Where;} \\ x=y+3 \\ x+y=15 \\ y+3+y=15 \\ 2y+3=15 \\ \text{Subtract 3 from both sides;} \\ 2y+3-3=15-3 \\ 2y=12 \\ \text{Divide both sides by 2;} \\ \frac{2y}{2}=\frac{12}{2} \\ y=6 \\ \text{When;} \\ x+y=15 \\ x+6=15 \\ \text{Subtract 6 from both sides;} \\ x+6-6=15-6 \\ x=9 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BWhere%3B%7D%20%5C%5C%20x%3Dy%2B3%20%5C%5C%20x%2By%3D15%20%5C%5C%20y%2B3%2By%3D15%20%5C%5C%202y%2B3%3D15%20%5C%5C%20%5Ctext%7BSubtract%203%20from%20both%20sides%3B%7D%20%5C%5C%202y%2B3-3%3D15-3%20%5C%5C%202y%3D12%20%5C%5C%20%5Ctext%7BDivide%20both%20sides%20by%202%3B%7D%20%5C%5C%20%5Cfrac%7B2y%7D%7B2%7D%3D%5Cfrac%7B12%7D%7B2%7D%20%5C%5C%20y%3D6%20%5C%5C%20%5Ctext%7BWhen%3B%7D%20%5C%5C%20x%2By%3D15%20%5C%5C%20x%2B6%3D15%20%5C%5C%20%5Ctext%7BSubtract%206%20from%20both%20sides%3B%7D%20%5C%5C%20x%2B6-6%3D15-6%20%5C%5C%20x%3D9%20%5Cend%7Bgathered%7D)
ANSWER:
The length of the shorter piece of wire is 6cm
As for the drawing, help yourself.
P. theorem -- a^2 + b^2 = c^2
a = 25
b = 16
so 25^2 + 16^2 = c^2
c^2 = 881
c = sqrt881