Answer:
The missing length is 2x+5
Step-by-step explanation:
Given equation of volume of cuboid is V= 
Figure show that
Length of cuboid is ?
Width of cuboid is (x+4)
Height of cuboid is (x+2)
The volume of cuboid is given by
V=Length x Width x Height
Let Length be (bx+a)
The volume of cuboid will be

![V=(bx+a)[x^{2}+4x+2x+8 ]](https://tex.z-dn.net/?f=V%3D%28bx%2Ba%29%5Bx%5E%7B2%7D%2B4x%2B2x%2B8%20%5D)
![V=bx[x^{2}+6x+8]+a[x^{2}+6x+8]](https://tex.z-dn.net/?f=V%3Dbx%5Bx%5E%7B2%7D%2B6x%2B8%5D%2Ba%5Bx%5E%7B2%7D%2B6x%2B8%5D)
![V=[bx^{3}+6bx^{2}+8bx]+[ax^{2}+6ax+8a]](https://tex.z-dn.net/?f=V%3D%5Bbx%5E%7B3%7D%2B6bx%5E%7B2%7D%2B8bx%5D%2B%5Bax%5E%7B2%7D%2B6ax%2B8a%5D)
![V=[bx^{3}+(6b+a)x^{2}+(8b+6a)x+8a]](https://tex.z-dn.net/?f=V%3D%5Bbx%5E%7B3%7D%2B%286b%2Ba%29x%5E%7B2%7D%2B%288b%2B6a%29x%2B8a%5D)
On comparing coefficient with given equation of volume
We get,
b=2 and 8a=40
Therefore, the value of a is 5 and b is 2
Thus, The missing length is bx+a=2x+5
5(n + 27) >= 6(n + 26)
5n + 135 >= 6n + 156
-n >= 21
n <= -21
Answer:
60
Step-by-step explanation:
1, Extand line y for which y intercepts CB at point K
2, line y is a straight line and thus KAB=180-110=70
3, AY parallel to CX thus angle CKA=130 which is a alternative angle of BCX (if you can't see then try to extend CX as well
4,BKA=180-130=50 as BC is a straight line
5, the sum of interior angle of a triangle is 180, and we have KAB and BKA, thus angle ABC = 180-KAB-BKA=180-70-50=60
Step-by-step explanation:
=> -3x - 4 = -5y - 8
=> 8 - 4 = 3x - 5y
=> 4 = 3x + (-5)y
=> 1 = (3x/4) + (-5y/4)
=> 1 = x/(4/3) + y/(-4/5)
Compare this with x/a + y/b = 1 where a and b are x & y intercepts.
Here,
x intercept = 4/3
y intercept = -4/5