Question

solve ( s = a ( x - v t ) ) for ( v ).
( v = )

1. -/1 points

solve the formula for the given variable.
( a = b h ; b ) (geometry)
( b = )

1. -/1 points

solve the formula for the given variable.
( p = r - c ; c ) (business)
( c = )

Explanation:

Step1: Solve \( s = a(x - vt) \) for \( v \)

Divide both sides by \( a \): \( \frac{s}{a}=x - vt \)
Then subtract \( x \) from both sides: \( \frac{s}{a}-x=-vt \)
Multiply both sides by \(-1\): \( x - \frac{s}{a}=vt \)
Finally, divide both sides by \( t \): \( v=\frac{x}{t}-\frac{s}{at} \)

Step2: Solve \( A = bh \) for \( b \)

Divide both sides by \( h \): \( b=\frac{A}{h} \)

Step3: Solve \( P = R - C \) for \( C \)

Add \( C \) to both sides: \( P + C=R \)
Subtract \( P \) from both sides: \( C=R - P \)

Answer:

For \( s = a(x - vt) \), \( v=\frac{x}{t}-\frac{s}{at} \)
For \( A = bh \), \( b=\frac{A}{h} \)
For \( P = R - C \), \( C=R - P \)