Answer: First answer goes with second graph
Second answer goes with third graph
Third answer goes with first graph :)
Step-by-step explanation:
Answer:
5i and -5i
Step-by-step explanation:
Imaginary roots come in pairs, so the third root must be a real number. Therefore, neither 5i nor -5i can be the third root.
The colution to your problem is a. (3,-6)
This problem can be solved in two ways, the long way, or the short way.
1. The long way
We know that the base of the triangle is along the x-axis, and the length of the base is 20.
The centre of mass is located at 2/3 of the distance from vertex (3,4) along the median, which cuts the base at (10,0).
Therefore the centre of mass is located at
x=3+(10-3)*2/3=23/3
y=4/3
2. The short way
It turns out that the centre of mass of a triangle sheet is located at the mean of the coordinates of the three vertices, i.e.
CG=((0+20+3)/3, (0+0+4)/3)=(23/3, 4/3) as before.
