Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) =
(x +11)2 +

g(x) = 4(x + 11)² - 484

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

g(x) = 4x² + 88x ( factor out 4 from each term )

      = 4(x² + 22x)

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 22x

g(x) = 4(x² + 2(11)x + 121 - 121)

      = 4(x + 11)² - 4(121)

      = 4(x + 11)² - 484 ← in vertex form

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

4444444444444 i think