Question
Algebra B 3.9 Test Retake
5 of 155 of 15 Items
Question
POSSIBLE POINTS: 1
The perimeter of the shape below is 21x^2-5x+4
. Find the length of the missing side.
Responses 4x^2-8
4x^2+5
14x^2-12x+8
-14x^2+12x-8
Answers
GPT 3.5
To find the length of the missing side, we need to add up all the sides of the shape and set it equal to 21x^2-5x+4.
Given sides:
1. 4x^2-8
2. 4x^2+5
3. 14x^2-12x+8
4. Missing side
Adding up all sides:
(4x^2-8) + (4x^2+5) + (14x^2-12x+8) + (Missing side) = 21x^2-5x+4
Combining like terms:
22x^2 - 5x + 5 + (Missing side) = 21x^2 - 5x + 4
Solving for the missing side:
(Missing side) = 21x^2 - 5x + 4 - 22x^2 + 5x - 5
(Missing side) = -x - 1
Therefore, the length of the missing side is -x-1.
Given sides:
1. 4x^2-8
2. 4x^2+5
3. 14x^2-12x+8
4. Missing side
Adding up all sides:
(4x^2-8) + (4x^2+5) + (14x^2-12x+8) + (Missing side) = 21x^2-5x+4
Combining like terms:
22x^2 - 5x + 5 + (Missing side) = 21x^2 - 5x + 4
Solving for the missing side:
(Missing side) = 21x^2 - 5x + 4 - 22x^2 + 5x - 5
(Missing side) = -x - 1
Therefore, the length of the missing side is -x-1.