Answer: 177
Step-by-step explanation:
Answer:
Equation for the perimeter of prism's square face: 16x + 12
Step-by-step explanation:
Volume of Square prism = Length * Width * Height
= 144 x^3 + 216 x^2 +81 x
taking 9x common = 9x( 16 x^2 + 24 x + 9)
= 9x ( (4x)^2 + 2(4x)(3) + (3)^2 )
= 9x ( 4x+3)^2
so the length is 9x, width is 4x+3 and height is 4x+3
Now, Perimeter of prism's square face = 2* Width + 2 * Height
= 2* (4x+3) + 2* (4x+3)
= 8x +6 + 8x + 6
= 16x +12
Answer:
0.189
4.525
Step-by-step explanation:
v/1 + 2/v + 4v/3 = 11
we can eliminate denominators if we distribute 3v to each term:
3v(v/1 + 2/v + 4v/3) = 3v(11)
3v² + 6 + 4v² = 33v
7v² - 33v + 6 = 0
factor this trinomial:
there are no factors of 6 that would add to -33 so we can use the quadratic formula to solve: (-b ± √b²-4ac) / 2a
a = 7
b = -33
c = 6
[33 ± √(-33)² - 4(7)(6)] / 2(7)
(33 ± √1089 - 168) / 14
(33 ± √921) / 14
(33 ± 30.35) / 14
(33+30.35) / 14 = 4.525
(33-30.35) / 14 = 0.189
