HELP NEEDED ASAP. "ONLY ANSWER IF YOU KNOW THE ANSWER" Solve the equation by completing the square.
x^2 + 10x= -81

x =-5±  2i sqrt(14)

Step-by-step explanation:

x^2 + 10x= -81

Take the coefficient of x and divide by 2

10/2 = 5

Square it

5^2 =25

add to each side

x^2 + 10x+25 = -81+25

( x+5) ^2 = -56

Take the square root of each side

sqrt(( x+5) ^2) =± sqrt(-56)

x+5 = ± sqrt(-1) sqrt(4*14)

x+5 =± i sqrt(4)sqrt(14)

x+5 =± i 2 sqrt(14)

Subtract 5 from each side

x+5-5 =-5± i 2 sqrt(14)

x =-5±  2i sqrt(14)

the probability that a bird is green (.30) is true

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true