Answer:
(a)
(b)
Step-by-step explanation:
(a) For using Cramer's rule you need to find matrix and the matrix for each variable. The matrix is formed with the coefficients of the variables in the system. The first step is to accommodate the equations, one under the other, to get more easily.
To get , replace in the matrix A the 1st column with the results of the equations:
To get , replace in the matrix A the 2nd column with the results of the equations:
Apply the rule to solve :
In the case of B2, the determinant is going to be zero. Instead of using the rule, substitute the values of the variable in one of the equations and solve for :
(b) In this system, follow the same steps,ust remember is formed by replacing the 3rd column of A with the results of the equations:
Answer:
25.2 in
Step-by-step explanation:
The short piece will have a length that is 2/(2+3) = 2/5 of the entire usable length. The usable length is 60-2 = 58 inches long, so the cut will be ...
(2/5)(58 in) = 23 1/5 in
from the beginning of the usable part. Since the usable part of the ribbon starts 2 inches in, the cut will be 23 1/5 + 2 = 25 1/5 inches from the frayed end of the ribbon.
I’ll do an example problem, and I challenge you to do this on your own!
If the example is find the difference between 0645 and 1200, we know that there are 60 minutes in an hour, so 0645 is 6 hours and 45 minutes or 6+45/60=6+3/4 of an hour by dividing both the numerator and denominator by 15. Finding that in minutes, we have 60*6+45=360+45=395 minutes due to that you add 60 minutes for every hour.
1200 is just noon, but that’s 12 hours, so we can convert that into minutes - 60*12=720
Finding the difference, we get
720
-395
_____ due to that -395=-400+5, so 720-400=320 and 320+5=325
325
Converting them back into hours, we get 325/60=5+25/60, which is 5 60 minute increments (5 hours) and 25 minutes, or 0525
Good luck, and feel free to ask any further questions!
Answer 1 -16 3y-2 >16 k-1 >24 -8.8x>24-8.8x<32
Step-by-step explanation:
k>3, x> - 10-11,y>2-3 (128k-127)