Answer:
B. (x + 3) (x + 27)
Step-by-step explanation:
<em><u>To factor the expression, you must split the middle term (18x) into two terms that can be added to get 18, and multiplied to get 81:</u></em>
<em><u /></em>
<em><u>Group:</u></em>
<em><u /></em>
<em><u>Take out GCF (Greates Common Factor):</u></em>
x(x + 3) 27(x + 3)
(x + 27) (x + 3)
Answer:1.69*10^12 J
Step-by-step explanation:
From figure above, using triangle ratio
485/755.5=y/l. Cross multiplying 485l=755.5y Divide via 485) hence l= 755.5y/485
Consider a slice volume Vslice= (755.5y/485)^2∆y; recall density =150lb/ft^3
Force slice = 150*755.5^2.y^2.∆y/485^2
From figure 2 in the attachment work done for elementary sclice
Wslice= 150.755.5^2.y^2.∆y.(485-y)/485^2
= (150*755.5^2*y^2)(485-y)∆y/485
To calculate the total work we integrate from y=0 to y= 485
Ie W=[ integral of 150*755.5^2 *y^2(485-y)dy/485] at y=0 and y= 485
Integrating the above
W= 150*755.5^2/485[485*y^3/3-y^4/4] at y= 0 and y=485
W= 150*755.5^2/485(485*485^3/3-484^4/4)-(485.0^3/3-0^4/4)
Work done 1.69*10^12joules
