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

You have known the formula Length of base is la division of Area and a haft of the height.
So we have 3
$(3 {x}^{2} - x + 12) \div ( \frac{1}{2} \times 6x)$
or
$(3 {x}^{2} - x + 12) \div 3x$
$3 {x}^{2} \div 3x +( - x \div 3x) + 12 \div 3x$
and
$x - \frac{1}{3} + \frac{4}{x}$
have fun