Find the length of the missing side.
40 ft
75 ft
The length of the missing side is
ft.

  85 ft

Step-by-step explanation:

The Pythagorean theorem tells you the length of the hypotenuse (c) is related to the lengths of the legs (a, b) of a right triangle by ...

  c^2 = a^2 +b^2

  c^2 = (40 ft)^2 +(75 ft)^2 = 7225 ft^2

  c = √(7225 ft^2) = 85 ft

The length of the missing side is 85 ft.

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

00

step-by-step explanation: