Answer:
a = [tex]\frac{3y^2}{8}[/tex]
Step-by-step explanation:
Given
y = 2[tex]\sqrt{\frac{2a}{3} }[/tex] ( divide both sides by 2 )
[tex]\frac{y}{2}[/tex] = [tex]\sqrt{\frac{2a}{3} }[/tex] ( square both sides )
[tex]\frac{y^2}{4}[/tex] = [tex]\frac{2a}{3}[/tex] ( cross- multiply )
8a = 3y² ( divide both sides by 8 )
a = [tex]\frac{3y^2}{8}[/tex]
