Answer: see below
Step-by-step explanation:
12) 2(x + 4) = 8
÷2 ÷2
x + 4 = 4
-4 -4
[tex]\large\boxed{x=0}[/tex]
14) 4w - 2(1 - w) = -38
4w -2 + 2w = -38
(4w + 2w) - 2 = -38
6w - 2 = -38
+2 +2
6w = -36
÷6 ÷6
[tex]\large\boxed{w=6}[/tex]
16) 10(1 - 2y) = -5(2y - 1)
10 - 20y = -10y + 5
+20y +20y
10 = 10y + 5
-5 -5
5 = 10y
÷10 ÷10
[tex]\large\boxed{\dfrac{1}{2}=y}[/tex]
[tex]18)\quad s=\dfrac{1}{2}gt^2\\\\\\.\qquad (2)s=(2)\dfrac{1}{2}gt^2\quad \rightarrow \quad 2s=gt^2\\\\\\.\qquad \dfrac{2s}{t^2}=\dfrac{gt^2}{t^2}\qquad \rightarrow \qquad\large\boxed{\dfrac{2s}{t^2}=g}[/tex]
[tex]22)\quad V=\pi r^2h\\\\\\.\qquad \dfrac{V}{\pi r^2}=\dfrac{\pi r^2h}{\pi r^2}\qquad \rightarrow \qquad \large\boxed{\dfrac{V}{\pi r^2}=h}[/tex]
