Answer:
[tex] 14y + 9 [/tex]
Step-by-step explanation:
Perimeter of the triangle = [tex] (y + 9) + 2y + (4y - 1) [/tex]
[tex] y + 9 + 2y + 4y - 1 [/tex]
Combine like terms
[tex] y + 2y + 4y + 9 - 1 [/tex]
[tex] Perimeter = 7y + 8 [/tex]
If Bob creates a new triangle whose perimeter is 7 less than twice the perimeter of the given triangle, the expression for the perimeter of the new triangle would be:
Twice of the perimeter = 2(7y + 8)
7 less than twice the perimeter = 2(7y + 8) - 7
Simplify the expression
New perimeter = [tex] 2(7y + 8) - 7 [/tex]
= [tex] 2*7y + 2*8 - 7 [/tex] (distributing 2)
[tex] = 14y + 16 - 7 [/tex]
New perimeter [tex] = 14y + 9 [/tex]
