A triangle's area is given by the expression 3x^2-x+12 The height is 6x. The base of the triangle is the quotient of the area and (1)/(2) of the height. I 6x Which expression represents the base of the triangle? (x)/(2)-(1)/(6)+(4)/(x) x-(1)/(3)+4x (x)/(2)-(1)/(6)+4x x-(1)/(3)+(4)/(x)

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Answer 1

To find the expression that represents the base of the triangle, we will use the formula for the area of a triangle:

Given that the area of the triangle is

and the height is

, we can set up the equation:

Step 1: Simplify the right side of the equation by multiplying the base by

and then by

:

Step 2: Solve for the base by dividing both sides of the equation by

:

Step 3: Simplify the expression by dividing each term by

:

Therefore, the expression that represents the base of the triangle is:

This matches the last option:

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