Solve M=h-w/8 for the variable H

Solve the above equation for W

Solve w=x+y/z for y


Solve the equation above for z

The formula for area of a triangle is A=1/2b solve this equation for B

Solve the equation P=kt/v for the letter K

Respuesta :

1) m = h - w/8

Subtract h from both sides.

m - h = -w/8

Subtract m from both sides.

-h = -m - w/8

Divide all terms by -1.

h = m + w/8.

2) m = h - w/8

Get rid of the denominator 8 by multiplying 8/1 to all terms.

8m = 8h - w

Add w on both sides and subtract 8m from both sides.

w = 8h - 8m

3) w = x + y/z

Get rid of the denominator z by multiplying it to all terms.

wz = xz + y

Subtract xz from both sides of the equation.

wz - xz = y OR y = wz - xz

4) w = x + y/z

Subtract x from both sides.

w - x = y/z

Get rid of the denominator by multiplying it to all terms.

wz - xz = y

Now factor the expression wz - xz.

z(w - x) = y

Divide both sides by w - x.

z = y / w - x

This is read as z equals to y divided by w minus x.

5) The area of a triangle is A = 1/2bh

First, get rid of the denominator by multiplying both sides by 2.

2A = bh

To find b, divide both sides by h.

2A/h = b

6) P = kt/v

Multiply both sides by v.

Pv = kt

Divide both sides by t.

Pv/t = k OR k = Pv/t.

Answer:

Step-by-step explanation:

(1) M = h - [tex]\frac{w}{8}[/tex]

    h = M + [tex]\frac{w}{8}[/tex]

(2) M = h - [tex]\frac{w}{8}[/tex]

    M - h = -[tex]\frac{w}{8}[/tex]

    [tex]\frac{w}{8}[/tex] = h - M

   w = 8(h - M)

(3) w = x + [tex]\frac{y}{z}[/tex]

   (w-x) = [tex]\frac{y}{z}[/tex]

   [tex]\frac{z}{y}[/tex] = [tex]\frac{1}{(w-x)}[/tex]

   z = [tex]\frac{y}{w-x}[/tex]

(5) Area of triangle A = [tex]\frac{1}{2}b[/tex]

    b = 2A

(6) [tex]P=\frac{kt}{v}[/tex]

    ⇒ PV = kt

    ⇒ k = [tex]\frac{PV}{t}[/tex]