A triangle's area is given by the expression 3x2 – x + 12. The height is 6x. The base of the triangle is the quotient of the area and of the height. Which expression represents the base of the triangle? x – + 4x + 4x x –

Length of base = x - 1/3 + 4/x

Step-by-step explanation:

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

Length of base = Area ÷ half of the height.

Area = 3x² - x + 12

Height = 6x

Half of the height = 1/2 * 6x

= 3x

Length of base = Area ÷ half of the height.

= 3x² - x + 12 ÷ 3x

= (3x²/3x) -(x/3x) +(12/3x)

= x - 1/3 + 4/x

Length of base = x - 1/3 + 4/x

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