Brianna cut her pancake in half to share with friend. if the pancake's distance from one side of the pancake to other side was 8 inches, how much pancake does brianne get to eat.

Brianne gets 25.12 inches² of pancake.

Step-by-step explanation:

Assuming the pancake to be a circular shape.

If the pancake's distance from one side of the pancake to other side was 8 inches, then diameter of circle = 8 inches. It means radius = 4 inches.

Brianne cut her pancake in half to share with friend. It means Brianne gets half-circular shape. So we need to find area of half-circle.

Area of half-circle = (1/2)πr² = (1/2) x 3.14 x 4² = 1.57 x 16 = 25.12 inches².

Hence, Brianne gets 25.12 inches² of pancake.

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