speresenko
contestada

Solve for the indicated variable in each mathematical formula.

[tex]1. C=2\pi r[/tex] for r

[tex]2. A=\frac{1}{2} bh[/tex] for b

3. y=mx+b for x

Help please)

Respuesta :

Sinthea

1. C=2πr

We need to move r by itself on a side of the equation.

Divide both sides of the equation by 2π. This will cancel out the side with the r.

r=C/2π

2. A=1/2*b*h

Divide both sides by 1/2*h, isolating b

b=A/[tex]\frac{1}{2}[/tex]h

3.y=mx+b

Now we have to do reverse PEMDAS, we have to add/subtract before we can multiply or divide to simplify.

Subtract both sides by b

y-b=mx

Now divide both sides by m

x=[tex]\frac{y-b}{m}[/tex]

Remember we have to divide both terms y and -b by 2, so it goes on the bottom for both.

GoddessofDork

So to solve for a variable, your goal is to isolate that variable onto one side.

1.

For this, divide both sides by 2π and your answer will be [tex]\frac{C}{2\pi }=r[/tex]

2.

Firstly, divide both sides by h: [tex]\frac{A}{h}=\frac{1}{2}b[/tex]

Next, multiply both sides by 2 and your answer will be [tex]\frac{2A}{h}=b[/tex]

3.

Firstly, subtract both sides by b: [tex]y-b=mx[/tex]

Next, divide both sides by m and your answer will be [tex]\frac{y-b}{m}=x[/tex]

Otras preguntas