You're told there is a 10th degree polynomial. There are four roots of multiplicity 1 and one of multiplicity 2 (a double root).
Anytime there is a root of multiplicity 1 of a polynomial, its graph crosses the x-axis at that root. Anytime there is one of multiplicity 2, it means that we count the root twice and the graph has a tangency point.
The degree of a polynomial tells you how how many roots it has. Ours is degree 10, so it has ten roots. We have the four roots of multiplicity 1 and the one of multiplicity two, for a total of 6. (four and two).
So there are six real roots.
The rest of the roots are imaginary and non-real, and 10 - 6 = 4. So there are four imaginary roots.
Thus choice C is best.
-3y = -2x -6
Y= 2/3x + 2
When x= 3
Y= 2/3(3) + 2
Y= 2+2 = 4
(3,4)
When x= 6
Y=2/3(6)+2
Y= 4+2 = 6
(6,6)
When x= 12
Y= 2/3(12) + 2
Y= 8+2=10
(12,10)
The length of the radius of this circle is 14 in.
Answer:
c, 14
Step-by-step explanation: