Which function is equivalent to y=x2-10x+9?

a: y=(x+5)^2+16
b: y=(x-5)^2-16
c: y=(x-5)^2+16
d: y=(x+5)^2-16

B

Step-by-step explanation:

Given

y = x² - 10x + 9

Using the method of completing the square

add/subtract (half the coefficient of the x- term)² to x² - 10x

y = x² + 2(- 5)x + (- 5)² - (- 5)² + 9

 = (x - 5)² - 25 + 9

 = (x - 5)² - 16 → B

height = 17.5cm

Step-by-step explanation: Peter mixes blue and yellow paint in the ratio 2:3, which means:

x = 12.6L

The container is full with the two paints, so total volume:

V = 12.6 + 8.4

V = 21L

Knowing that 1L = 1dm³ and sides of cuboid is measure in cm:

V = 21dm³ = 21000cm³

Volume of a cuboid is calculated as:

V = width*length*height

Height of the container is

height =

height =

height = 17.5cm

The height of the container is 17.5cm.