Answer:
<h2><em>
2(3s-14)</em></h2>
Step-by-step explanation:
Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;
∠ABF = ∠ABE + ∠EBF
Substituting the given angles into the equation to get the unknown;
8s-6 = 2(s + 11)+ ∠EBF
open the parenthesis
8s-6 = 2s + 22+ ∠EBF
∠EBF = 8s-6-2s-22
collect the like terms
∠EBF = 8s-2s-22-6
∠EBF = 6s-28
factor out the common multiple
∠EBF = 2(3s-14)
<em></em>
<em>Hence the measure of angle ∠EBF is 2(3s-14)</em>
Capacity of the hard drive = 160 GB.
Used space = 122 GB.
Free space = 160 - 122 = 38 GB.
So, the size of the home video collection should be less than or equal to 38 GB.
If u is the amount of space used, then, u ≤ 38
If a is the amount of space available, then a = 38 - u.
Answer:
96.9cm squared
Step-by-step explanation:
Answer:
the "negative solution" is -3
Step-by-step explanation:
Represent the number by n.
Then n^2 - 24 = 5n
We rewrite this in standard quadratic form:
n^2 - 5n - 24 = 0
This factors as follows; (n + 3)(n - 8) = 0
The roots are n = -3 and n = 8. Thus, the "negative solution" is -3
Make an absolute value function, (coordinates are all (1,1), (2,2), (-5,5) (-1,1) etc.) and shift all the points up by 2 on the y-axis
