Answer:
x > -9
See the second scenario if incorrect.
Step-by-step explanation:
1...x^(2) + 9x < 0
first factor
2...x * ( x + 9 ) < 0
now divide by x
note: 0 divided by any number is 0
2... x * ( x + 9 ) < 0
/x /x
3... x + 9 < 0
now subtract 9
3... x + 9 < 0
-9 -9
4... x< -9
Second scenario
In the event that x is a negative number
2... x * ( x + 9 ) < 0
dividing by x will flip the inequality sign
(3)... x + 9 > 0
subtract 9
(3)... x + 9 > 0
-9 -9
(4)... x> -9
Pythagorean theorem:
AC² + BC² = AB²
since this is isosceles (2 sides the same length), we can just let BC = AC and get
AC² + AC² = AB²
2AC² = AB²
AC² = AB²/2
AC = √(AB² / 2)
AC and BC are 6 meters
Answer:
B
Step-by-step explanation:
A series is said to be convergent if |r| < 1. Where r is the common ratio of the series.
If |r| ≥ 1 then the geometric series diverges.
25/3+125/9+625+ ...
r = 125/9 ÷25/3 = 5/3
625/27 ÷ 125/9 = 5/3
In the series, r is greater than 1. So the series is divergent.
Answer: 5 1/4 miles per hour
Step-by-step explanation:
Divide 15 3/4 (distance) by 3 (hours) and you get 5 1/4 (or 5.25) miles per one hour
Add 14 to both sides:
-6x<12
divide by -6 and flip sign because dividing by negative:
x>-2