Given:
The two sides of a triangle are 2 and 6.
To find:
The side length that would NOT work to make a triangle with the two slide lengths of 2 and 6.
Solution:
For a triangle, the sum of two smaller sides must be greater than the largest side.
Let x be the third side.
Case 1: x is the largest side, then

...(i)
Case 2: x is not the largest side, then


...(ii)
From (i) and (ii), we get

Here, 4 and 8 are not included.
6, 5, 7 are included in the above interval, but 4 is not included in the above interval. It means 4 would NOT work to make a triangle with the two slide lengths of 2 and 6.
Therefore, the correct option is D.
The equation which represent the interpretation of the scenario is 5 + 2x
<h3>Algebra</h3>
- Number of lawns Homer mowed = 5
- Additional laws mowed each month = 2
- Number of months = x
Total laws mowed = Number of lawns Homer mowed + (Additional laws mowed each month × Number of months)
= 5 + (2 × x)
= 5 + 2x
Learn more about algebra:
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Answer:
Two semi circles would equal one circle.
The perimeter of a circle is PI x diameter.
The diameter of the circle is shown as 56 m
The perimeter of the 2 ends = 56 x 3.14 = 175.84
The length of the inside of the track is given as 130 m, and there are 2 sides so 130 + 130 = 260 m.
Total perimeter = 260 + 175.84 = 435.84 m.
Step-by-step explanation: