A polygon must have at least 3 sides, but a curved angle isn't a side. This would result in you getting an oval. In short, it would not be a polygon. Hope this helps!
45 _____________________\_
Answer:
B: 4 solutions
Step-by-step explanation:
Combining the two equations results in 2x² = 52, or x² = 26.
This equation has two solutions: x = ±√26.
As before, x² = 26. If we substitute 26 for x² in the 1st equation, we get:
26 - 4y² = 16, or 4y² = 10, or y = ±√5/2. Again: two solutions.
If we take x to be +√26, y could be ±√(5/2).
Check: is ( √26, √(5/2) ) a solution of the system?
Subbing these values into the first equation, we get:
26 - 4(5/2) = 16. Is this true?
Then 10 = 10. Yes.
Through three more checks, we find that this system has FOUR solutions.
You have to find first the discriminant
∆=8^2-4*(-1) *(-7) =36
x=(-8±√36) /-2=(-8±6)/-2=4±3=1 or 7
So x(1)=1 or x(2)=7
-x^2+8x-7=[x-x(1) ][x-x(2) ]=(x-1) (x-7)
