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AnimeBrainly
Isolate the g

w = 7 - √g

Do the opposite of PEMDAS, first subtract 7 from both sides

w (-7) = -√g + 7 (-7)

w - 7 = -√g

multiply -1 (as -√g is the same as -1√g) to both sides

-1(w - 7) = √g
-1w + 7 = √g

to get rid of the square root, you must square both sides
Note: -1w is the same as -w
Note: you are squaring all the terms on the other side, not just one.

(-w + 7)² = (√g)²
g = (-w + 7)²
g = (-w + 7)(-w + 7) (note, this can be the answer your teacher wants, or                                            g = (-w + 7)²    )

Use the FOIL method (First, Outside, Inside, Last)

(-w)(-w) = w²
(-w)(7) = -7w
(7)(-w) = -7w
(7)(7) = 49

g = w² - 7w - 7w + 49

simplify (combine all like terms)

g =w² - 7w - 7w + 49

g = w² - 14w + 49


g = w² - 14w + 49 is your answer

hope this helps
MrRoyal

Changing the subject of a formula, means we want to solve for a variable.

The required equation is: [tex]g = (7 - w)^2[/tex]

We have:

[tex]w = 7 - \sqrt g[/tex]

Subtract 7 to both sides

[tex]w - 7 = - \sqrt g[/tex]

Multiply both sides by -1

[tex]7- w =\sqrt g[/tex]

Take square roots of both sides

[tex](7 - w)^2 = g[/tex]

Rewrite as:

[tex]g = (7 - w)^2[/tex]

Hence, the equation of g is: [tex]g = (7 - w)^2[/tex]

Read more about subject of formula at:

https://brainly.com/question/21866313

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