Q:

Solve each formula for the given variable. State the restrictions, if any, for the formulaobtained to be meaningful.F = ma, for ad = [tex]\frac{m}{v}[/tex], for vA = P + Prt, for tA = [tex]\frac{1}{2}[/tex]h a + b, for hP = 2(L +W ), for Wm = [tex]\frac{x+y}{2}[/tex], for y3x + 2y = 8,for ya = [tex]\frac{v- u}{t}[/tex], for tIt's the even numbers on this pdf:

Accepted Solution

A:
Answer:[tex]a = \frac{F}{m}[/tex][tex]v = \frac{m}{d}[/tex][tex]t = \frac{A - P}{Pr}[/tex][tex]h = \frac{2A}{a + b}[/tex][tex]W = \frac{P - 2L}{2}[/tex][tex]y = 2m - x[/tex][tex]y = -1.5x + 4[/tex][tex]t = \frac{v - u}{a}[/tex]Step-by-step explanation:[tex]F = ma[/tex][tex]\frac{F}{m} = \frac{ma}{m}[/tex][tex]\frac{F}{m} = a[/tex][tex]d = \frac{m}{v}[/tex][tex]vd = m[/tex][tex]\frac{vd}{d} = \frac{m}{d}[/tex][tex]v = \frac{m}{d}[/tex][tex]A = P + Prt[/tex][tex]A - P = Prt[/tex][tex]\frac{A - P}{Pr} = \frac{Prt}{Pr}[/tex][tex]\frac{A - P}{Pr} = t[/tex][tex]A = \frac{1}{2}h(a + b)[/tex][tex]2A = h(a + b)[/tex][tex]\frac{2A}{a + b} = \frac{h(a + b)}{a + b}[/tex][tex]\frac{2A}{a + b} = h[/tex][tex]P = 2(L + W)[/tex][tex]P = 2(L) + 2(W)[/tex][tex]P = 2L + 2W[/tex][tex]P - 2L = 2W[/tex][tex]\frac{P - 2L}{2} = \frac{2W}{2}[/tex][tex]\frac{P - 2L}{2} = W[/tex][tex]m = \frac{x + y}{2}\\2m = x + y\\2m - x = y[/tex][tex]3x + 2y = 8\\2y = -3x + 8\\\frac{2y}{2} = \frac{-3x + 8}{2}\\y = -1.5x + 4[/tex][tex]a = \frac{v - u}{t}\\at = v - u\\\frac{at}{a} = \frac{v - u}{a}\\t = \frac{v - u}{a}[/tex]