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instructions choose the best answer. if necessary, use the paper you we…

Question

instructions
choose the best answer. if necessary, use the paper you were given.
question
if a triangle has sides of length y, y + 3, and y - 7, what is the perimeter of the triangle in terms of y?
a 3y - 10
b 3y - 4
c 3y + 4
d 3y + 10

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. So $P=y+(y + 3)+(y - 7)$.

Step2: Combine like - terms

First, add the $y$ terms: $y+y + y=3y$. Then add the constant terms: $3+( - 7)=3 - 7=-4$. So $P = 3y-4$.

Answer:

B. $3y - 4$