The figure is made up of two shapes, a semicircle and a square.

what is the exact perimeter of the figure?

4π+16 cm

4π+12 cm

2π+6 cm

2π+12 cm
square with 2 sides labeled 4cm. a semicircle adjoins the left side of the square. inside lines are dashed

Step-by-step explanation:

The perimeter of a square is P = 4s where s is the side length. The perimeter of the square is P = 4*4 = 16 cm. However, one side is covered by a semi circle and its length of 4 cm is not a part of the perimeter. So it is 16 - 4 = 12. The perimeter of the square s 12.

To find the perimeter of a semi-circle use the circumference formula. The circumference is . However, since a semi circle is half a circle then the circumference is . Since the semi-circle adjoins the square, its diameter is the side length of the square 4cm.

So the total perimeter is

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

answer: on kudzu, being female and being green are independent events.

step-by-step explanation: