Help with this math question PLEASE?

Posted on 2015-11-18 06:19:00 in Chemistry by FRACK

The point on the line -11 x + 7 y + 9 =0 that is closest to the point (0 , 5) has x coordinate and y coordinate that are equal to what?

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y= 4-x^2. We are interested in the dimensions of such a rectangle with the greatest possible area.
First give an expression, in terms of x, for the area of such a rectangle with upper corners at the points (-x,y) and (x,y) which lie on the parabola.

Now give the width and height of the rectangle that maximizes its area. Width =? Height =?

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