Answer:
The surface area is 
Step-by-step explanation:
The surface area of a rectangular prism is calculated using the formula;
![S.A=2[lw+lh+wh]](https://tex.z-dn.net/?f=S.A%3D2%5Blw%2Blh%2Bwh%5D)
The length of the rectangular prism is 
The height is 
The width is 
The surface area
![S.A=2[10(8)+10(6)+8(6)]](https://tex.z-dn.net/?f=S.A%3D2%5B10%288%29%2B10%286%29%2B8%286%29%5D)
![S.A=2[80+60+48]](https://tex.z-dn.net/?f=S.A%3D2%5B80%2B60%2B48%5D)
Answer:
a
Step-by-step explanation:
2^t =38
take the log of each side
log ( 2^t) = log (38)
the exponent gets multiplies
t log (2) = log (38)
divide by log 2
t = log(38)/log (2)
t≈5.2479
I need the answer To what
Answer:
x³ - 8x² - 11x + 148
Step-by-step explanation:
Given that x = 6 + i is a root then x = 6 - i is also a root
Complex roots occur as conjugate pairs.
The factors are therefore (x - (6 + i)) and(x - (6 - i))
Given x = - 4 is a root then (x + 4) is a factor
The polynomial is the product of the factors, that is
p(x) = (x + 4)(x - (6 + i))(x - (6 - i))
= (x + 4)(x - 6 - i)(x - 6 + i)
= (x + 4)((x - 6)² - i²)
= (x + 4)(x² - 12x + 36 + 1)
= (x + 4)(x² - 12x + 37) ← distribute
= x³ + 4x² - 12x² - 48x + 37x + 148
= x³ - 8x² - 11x + 148
