23.8 inches squared if im wrong sorry but what i did was i added 7.4 plus 7.4 cause there are two of the same side then did the same with 4.5
<span>g(x) = x^3 - 9x^2 + 2x + 48 ?
Probe some roots. When you use x = - 2
you will have: (-2)^3 - 9(-2)^2 + 2(-2) + 48 = -8 - 36 - 4 + 48 = 0
So, - 2 is a root
From that you can divide x^3 - 9x^2 + 2x + 48 by x + 2 and you will get
x^2 - 11x + 24
Then you can factor that: (x - 8)(x - 3)
So, the three roots are x = - 2, x = 3 and x = 8, which is the option B.
Answer: option B. x = 8, x = -2 , and x = 3
</span>
Answer:
A. 3.66 feet
Step-by-step explanation:
Using trigonometry, we know that ...
BC = DC·tan(30°)
AC = DC·tan(45°)
AB = AC -BC = DC(tan(45°) -tan(30°))
AB = 5√3·(1 -√3/3) = 5(√3 -1)
AB ≈ 3.66 . . . feet
Answer:
4.4 * 10^21
Step-by-step explanation:
Given :
Number of pop, n(p) = 10
Number of reggae, n(r) = 25
Number of blues, n(b) = 10
Total number of songs to select (n) = 15
If she wants equal Number if the 3 genres
Each genre will have : 15/3 = 5 songs each
Hence,
(10C5 * 25C5 * 10C5) * n!
Combination formula :
pCr = p! / (p-r)! r!
Using calculator to save computation time :
(10C5 * 25C5 * 10C5) * n!
(252 * 53130 * 252) * 15!
= 4412050844368527360000
= 4.4 * 10^21
For this case we must factor 
of the following expression:
By law of signs of multiplication it is fulfilled that:
So we have to:
Thus, by factoring we have:
Answer:
