Question

I neeed help again:( pweaseee help

Answer 1

`a) n =(c)/(d)\\\\\\b) b= 2A -a\\\\c) m_1=(Fr^2)/(Gm_2)`

d) z = 10

Explanation:

Solve for the given variable:

a)

`\sf d = (c)/(n)\\\\\text{Mulitply the entire equation by 'n',}\\\\n*d=n*(c)/(n)\\\\nd =c\\\\\text{Now, divide the entire equation by 'd',}\\\\n =(c)/(d)`

b)

`\sf A = (a+b)/(2)\\\\\text{Multiply the entire equation by 2,}\\\\2*A = 2*(a+b)/(2)\\\\2A = a+b\\\\\text{Now subtract 'a' from both sides,}\\\\2A - a = b\\\\\boxed{b=2A - a}`

c)

`\sf F =(Gm_1m_2)/(r^2)`

Multiply the entire equation by r²,

`\sf Fr^2=r^2*(Gm_1m_2)/(r^3)\\\\Fr^2=Gm_1m_2`

Divide the entire equation by Gm₂,

`\sf (Fr^2)/(Gm_2)=m_1\\\\\boxed{m_1=(Fr^2)/(Gm_2)}`

D) A = 7 ; y =4

Substitute in the equation and find the other number.

`\sf A = (1)/(2)(y+z)\\\\7=(1)/(2)(4+z)\\\\Multiply \ both \ sides \ by 2,\\\\7*2 = 4 +z`

14 = 4 + z

Subtract 4 from both sides,

14 - 4 = z

z = 10