A banner is made of a square and a semicircle. The square has side lengths of 22 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner use 3.14 for π

Step-by-step explanation:

673.97 in² is the answer

So the total area is= square + semicircle

Area of square= 22²= 484in²

Area of semicircle= 1/2(πr²)

diameter of semicircle is 22 so the radius is 11 in

the area = 1/2(3.14*121)

area= 189.97

The total area= 189.97+ 484= 673.97in²

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