Solve the quadratic function by completing the square. What are the missing pieces in the steps?
–32 = 2(x2 + 10x)
–32 + = 2(x2 + 10x + 25)
18 = 2(x + 5)2
9 = (x + 5)2
± = x + 5
x = –2 or x =

x = - 2 or x = - 8

Step-by-step explanation:

Given

2(x² + 10x) = - 32 ( divide both sides by 2 )

x² + 10x = - 16

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(5)x + 25 = - 16 + 25

(x + 5)² = 9 ( take the square root of both sides )

x + 5 = ± = ± 3 ( subtract 5 from both sides )

x = - 5 ± 3, thus

x = - 5 + 3 = - 2 or x = - 5 - 3 = - 8

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet