Answer:
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Step-by-step explanation:
It is given that the coefficient of the matrix of a linear equation has a pivot position in every row.
It is provided by the Existence and Uniqueness theorem that linear system is said to be consistent when only the column in the rightmost of the matrix which is augmented is not a pivot column.
When the linear system is considered consistent, then every solution set consists of either unique solution where there will be no any variables which are free or infinitely many solutions, when there is at least one free variable. This explains why the system is consistent.
For any m x n augmented matrix of any system, if its co-efficient matrix has a pivot position in every row, then there will never be a row of the form [0 .... 0 b].
Answer:
4/75
Step-by-step explanation:
you will get 5 and 1/3 percent equals (5 + 1/3) / 100 which is equal to 5/100 + (1/3) / 100 which is equal to 5/100 + 1/300. place both fractions under a common denominator. you will get 5/100 + 1/300 = 15/300 + 1/300 = 16/300. simplify the fraction to get 16/300 = 8/150 = 4/75
Answer:
16
Step-by-step explanation:
If the store sells 2 printers for every 5 computers
40/5 is 8. this means there are 8 sets of 5 computers
8x2 is 16 since for every 5computers, 2 printers are sold
Answer
the length is 20 cm and breadth is 16cm
Step-by-step explanation:
let, 2(a+b)= 72( as its the formulae of circumference)
here a is the length and b is the breadth
now total area is ab
according to the question
a(b-6)= ab-120
or -6a= - 120
so length is 20 cm
now by putting the value in the 1st eq we get
2(a+b)=72
or(a+b)=36
or 20+b=36
so breadth is 16 cm.
length is 20cm and breadth is 16 cm
(u can verify that easily)
thank u
Answer:
C.8.12 units
Step-by-step explanation:
Given the coordinates of two points:
The distance between these points is determined by the following equation:
We can extract the exact coordinates from the graph provided by the problem:
Therefore:
I don't see the correct answer from the choices given. So I would say the most aproximate is C.
