1. what is the solution to the system of equations?
3x - 6y = -12
x - 2y = -8
(a) use the substitution method to justify that the given system of equations has no solution.
(b) what do you know about the two lines in this system of equations?

Step-by-step explanation:

(a)

3x - 6y = -12.,(1)

x - 2y = -8.…(2)

from equation (2),by adding 2y to both sides, x= -8 + 2y(3)

Let's substitute the value of x in equation (1)

3(-8 + 2y) - 6y = -12

-24 + 6y - 6y = -12

6y - 6y = 12..,..(4)

From equation (4) we can see that both equations (1) and (2) has no solutions for x and y

(b)They are two parallel lines of slope of 2 and intercepts on y at 2 and 4

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6