Answer:
Step-by-step explanation:
-32 = 2(x² + 10x)
Complete the square
coefficient of the x term: 10
divide coefficient in half: 5
square it: 5²
use 5² to complete the square and keep the equation balanced:
-32+2·5² = 2(x² + 10x + 5²)
18 =2(x+5)²
9 = (x+5)²
x+5 = ±√9 = ±3
x = ±3 - 5 = -2, -8
Answer:
81% of the balls are red
Step-by-step explanation:
If you want to find the percentage of balls that are red you will have to divide it by the total number of balls in the ball
18 red + 4 blue = 22 balls part (a)
18/22 = 9/11 part (b) simplify
9/11 * 100 part (c) multiply the fraction by a hundred to get the percentage
81.81 ~ 81% part (d) solve
You must halve the linear coefficient and then square it. In this case:
(2/2)^2=1 so you must add 1 to both sides of the equation...
x^2+2x+1=14 now the left side is a perfect square...
(x+1)^2=14
Answer:
n = 6
Step-by-step explanation:
9n - 6 = 5n + 18
Subtract 5n from each side
9n-5n - 6 = 5n-5n + 18
4n -6 = 18
Add 6 to each side
4n -6+6 = 18+6
4n = 24
Divide each side by 4
4n/4 = 24/4
n = 6
