Answer:
8 vertices
Step-by-step explanation:
Use Euler's Theorem: V-E+F=2
F=12
E=18
Thus, we have:
V-18+12=2
V-18=-10
V=8
So there are 8 vertices
we can take a peek at two of those lines hmmm say y = 5x + 3 and y = 5x + 7.
let's notice, those two equations for those lines are in slope-intercept form, so let's solve the system.
since y = y then
5x + 3 = 5x + 7
3 = 7 what the?
well, notice, both lines have the same slope of 5, but different y-intercept, one has it at y = 3 and the other at y = 7, what does that mean?
it means that both lines are parallel to each other, one may well be above the other, but both are parallel, and since a solution to the system is where their graphs intersect, well, parallel lines never touch, so a system with two parallel lines has no solutions.
Answer:
-9, 9.7
Step-by-step explanation:
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