Answer:
-1,3i,-3i
Step-by-step explanation:
X^3+x^2=-9x-9
x^3+x^2+9x+9=0
x^2(x+1)+9(x+1)=0 factorize by taking x+1 common factor
(x+1)(x^2+9)=0
x+1=0 then x=-1
(x^2+9)=0 then x=+ 0r - 3i
Answer:
K = 50
L = 90
KML = 40
LMN = 140
Step-by-step explanation:
The sum of the angles in a triangle will always be 180 degrees, and in the triangle pictured, we know the value of each angle. We can say that
5x + 4x + 9x = 180
18x = 180
x = 10
Now that we know the value of x, we can figure out the value of the angles.
K = 5x = 50
L = 9x = 90
KML = 4x = 40
A straight line is 180 degrees, so to find angle KMN, you have to subtract KML (4x) from 180
180 - 4x = 180 - 40 = 140
Answer:
$4,194
Step-by-step explanation:
First, you need to subtract the 1,804 from the the total, which will give you 4,780. Divide this by two to get the cost of room and board, which is 2390. To find the tuition fee, add 2,390 and 1,804, and that equals $4,194.
First I would change the descriptions of the numbers into expressions.
first number is n
second number is n + 6
third number is 4n (4 x n)
Then you would insert these expressions into an equation and isolate n.
n + n + 6 + 4n = 144
n + n + 4n = 144 - 6
6n = 138
n = 138/6
n = 23
Lastly, you would plug in this value into all of the expressions.
first number is 23
second number is 23 + 6 = 29
third number is 4(23) = 92
Therefore, the numbers are 23, 29, and 92.
Answer:
if the sectors bc and ad are the same,x=70°
