Solve x2 + 12x = –20 by completing the square. Add (StartFraction b Over 2 EndFraction) squared to both sides of the equation. The value of (StartFraction b Over 2 EndFraction) squared in this equation is . Write the left side of the equation as a binomial squared. The left side of the equation becomes ( )2. Use the square root property of equality. Isolate the variable: x =

x=-2,x=-10

Step-by-step explanation:

x²+12x=-20

add both sides (12/2)^2 ,i.e.,36

x+2+12x+36=-20+36

(x+6)²=16=4²

x+6=±4

either x+6=4

x=4-6

x=-2

or x+6=-4

x=-4-6

x=-10

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)