# Math Help - Find the equation of line that ....

1. ## Find the equation of line that ....

find a constant b such that f(x)=b
that divides the area between x-axis
and the function $g(x) = 9 - |x|$
into 2 equal eares.

2. Can you solve this, $\dfrac{(9-b)^2}{2}=\dfrac{81}{4}~?$

If so, how does that work?

3. Originally Posted by Plato
Can you solve this, $\dfrac{(9-b)^2}{2}=\dfrac{81}{4}~?$

If so, how does that work?
oh ya !!!
Triangle1: has a right angle and 2 equal sides.
Triangle2: is the whole triangle.

area of Triangle1 $= \frac {(9-b)^2}{2}$

area of Triangle2 $= (\frac{1}{2}).(18).(9) = 81$

area of Triangle1 $= \frac{81}{4}$

Thank you very much.