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7. Jena has a triangular garden with a perimeter that can be represented by 25r ^ 2 - 9r + 14 . The sum of two sides of the garden is represented by 10r ^ 2 + 12r + 9 . Which expression represents the length of the third side ?

Sagot :

Answer: [tex]15r^2-21r+5[/tex]

Step-by-step explanation:

Given: Perimeter of triangular garden = [tex]25r^2 - 9r + 14[/tex]

The sum of two sides of the garden = [tex]10r^2 + 12r + 9[/tex]

Perimeter is the sum of all sides of a triangle.

Third side = Perimeter of triangular garden - sum of two sides of the garden

[tex]=25r ^ 2 - 9r + 14-(10r ^ 2 + 12r + 9)\\\\=25r ^ 2 - 9r + 14-10r ^ 2 - 12r - 9\\\\=15r^2-21r+5[/tex]

The expression represent the third side = [tex]15r^2-21r+5[/tex].