I’m horrible at geometry, help please?

Longest side = 13 inches

Step-by-step explanation:

Perimeter of triangle =  30 inches

x + 4x - 8 + 2x +3    =  30

x + 4x + 2x - 8 + 3 = 30

                   7x - 5 = 30

                          7x = 30 + 5

                          7x = 35

                            x = 35/7

         x = 5

Longest side is the hypotenuse.

Longest side = 2x + 3 = 2*5 + 3 = 10 + 3 = 13 inches

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

w'x is 0.

hope it