Question

A triangle's area is given by the expression 3x2-x+12. The height is 6x. The base off the triangle is the quotient of the area and 1/2 of the height. 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

Answer 1

D x-1/3+4/x

Explanation:

Answer 2

You have known the formula Length of base is la division of Area and a haft of the height.
So we have 3

`(3 {x}^(2) - x + 12) / ( (1)/(2) * 6x)`
or

`(3 {x}^(2) - x + 12) / 3x`

`3 {x}^(2) / 3x +( - x / 3x) + 12 / 3x`
and

`x - (1)/(3) + (4)/(x)`
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