Step-by-step explanation:
All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.

On a number line, -5 is to the left of 0.
Remember, on a number line, positive numbers (including fractions, decimals and surds) are to the right of 0:
----------------------------------------------------------------------->
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Negative numbers (including rational and irrational numbers) are to the left of 0:
<-----------------------------------------------------------------
-8 -7 -6 -5 -4 -3 -2 -1 0
Hope it helps! Enjoy your day!
~Just a determined gal

Answer:
550g
Step-by-step explanation:
total g in 1 kg is 1000
so 1000 - 550 =450
Answer:
The desired distance is 15 units.
Step-by-step explanation:
Note how x increases from 1 to 10 and y from 0 to 12 at the same time.
Using the Pythagorean Theorem, we find that the distance between the two points is the length of the hypotenuse, which is
d = √[ (10 - 1)^2 + (12 - 0)^2 ], or d = √ [81 + 144] = 225 = +15
The desired distance is 15 units.