Mathematics
Make g the subject of the formula w = 7 - √g
Posted 4 months agoAnswers (2)
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
Changing the subject of a formula, means we want to solve for a variable. The required equation is: We have: Subtract 7 to both sides Multiply both sides by -1 Take square roots of both sides Rewrite as: Hence, the equation of g is: Read more about subject of formula at: brainly.com/question/21866313