thanks alot for the answer, and by the way in number 2 there is nothing missing ,its just like that ...i myself am wondering ,anyways i would like to thank u for answering them for me and would like please to answer number 3 thanks the last one left in the home work . thank you , answer only if u can
let's find the distance and then, so we can find the area of the triangle.
to do that, we need to find points and
these points will be where the graphs intersect, that is, where
when :
when :
so we have and
Now, slope of line PQ is
slope of line QM is
this means, line PQ is perpendicular to QM, and so is a right-triangle.
Now let's find the lengths of PQ and QM
By the distance formula:
Now to find the area of the shaded region:
Since , we have the desired result