Answer:
-2, -4, -3 + 2i, -3-2i
Step-by-step explanation:
Equaling the function to zero we have:
(x ^ 2 + 6x + 8) (x ^ 2 + 6x + 13) = 0
For the first parenthesis we have:
(x ^ 2 + 6x + 8) = 0\\(x + 4) (x + 2) = 0
Therefore the roots are:
x = - 4\\x = - 2
For the second parenthesis we have:
(x ^ 2 + 6x + 13) = 0
By completing squares we have:
x ^ 2 + 6x = -13
x ^ 2 + 6x + (\frac{6}{2}) ^ 2 = -13 + (\frac{6}{2}) ^ 2\\x ^ 2 + 6x + 9 = -13 + 9\\(x + 3) ^ 2 = - 4\\x + 3 = +/- \sqrt{-4}
Therefore the roots are:
x = -3 + 2i\\x = -3 - 2i
Hope this was helpful
9 - w = 2
9 - 7 = 2
If this is what you mean.
Triangles ABC and ADE are similar, meaning that
AB/BC=AD/DE
6/5=(6+x)/14
84/5=6+x
X=10.8
So x=10.8
Answer: 12a^3
Explanation: You would get the missing side to complete the perimeter by using the pythagorean theorem so 3^2+4^2=c^2 so you would get 9+16=c^2 which would become 25=c^2. That would get you 5 as the square root of 25 is 5 so in total, it would all be 3a^3+4a^3+5a^3 which would equal 12a^3.
(^ are for exponents) I might be wrong but hopefully it helps a bit. :)
Okay, so my last answer was deleted because I didnt show any work.
According to the rule,
a+b>c
c+b>a
c+a>b
so...
2+3=6...6<7
21+23=44...44+44
12+36=48...48<53
14+17=31...31>30
Since answer D is the only answer that fullfills the rule a+b>c, it is the correct answer
