Question

change the subject of the formula given:-
1)m=xy-z/x-1,for x
2)x-y/x+y=z,for y
3)a=$\sqrt{x+b/x-b$ x+b/x-b,for x
4)V=[tex] \pi ( R^{2} -r ^{2})h,for r
5)F=mv-mu/t, for u

Answer 1

1)m=xy-z/x-1
=m(x-1)=xy-z   =mx-m=xy-z   =mx-xy=m-z   =x(m-y)=m-z   =x=m-y/m-z
2)x-y/x+y=z    =z(x+y)=x-y    =zx+zy=x-y  =zx-x=-zy-y   =x-zx=zy+y       =x-zx=y(z+1)
=x-zx/z+1=y
3)a=√x+b/x-b*x+b/x-b
={a(x-b)/x+b}²=x+b/x-b  =a²(x²-b²)/(x+b)²=x+b/x-b  =a(x²-b)(x-b)/(x-b)²(x+b)=0 
=a(x³-bx²-b²x+b³)/x²+b²+2bx)(x+b)=0    =a²(x³-2bx²+b³)/x³+bx²+b²x+b³+2bx²+2b²x=0
=x(x-2b)+b³/x²(x+b+b²+b³+2b+2b²)=0     =x-2b+b³/x+b+b²+b³+2b+2b²=0 
=b(2+b²)-x/b(b+5)=0               =x=2+b²/b²+5b
5)F=mv-mu/t
=Ft=mv-mu              =Ft+mu=mv       =Ft+mv/m=u
 
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