Answer:
Step-by-step explanation:
Solving for , we get:
(Distributive Property of Multiplication)
(Multiply distributed terms)
(Combine like terms)
(Add
to both sides of the equation to isolate
)
(Combine like terms / Simplify)
(Divide both sides of the equation by
to get rid of
's coefficient)
(Simplify / Symmetric Property of Equality)
Hope this helps!
Answer: x=-10, y=13
Step-by-step explanation:
+2y-2y = 0, eliminating y is much easier. So -3x-5x = -8x and 56+24 = 80
Substitute x in any equations but only 1 equation (Don't substitute in both equations.)
For me, I'd substitute x in -3x+2y=50
So the answer is x = -10, y = 13
I hope this helps you
Answer:
= 8
= 6
Therefore the co-ordinate of the center of mass is =
Step-by-step explanation:
Center of mass: Center of mass of an object is a point on the object. Center of mass is the average position of the system.
Center of mass of a triangle is the centriod of a triangle.
Given that m₁= 4, m₂=3, m₃=3 and the points are P₁(2,-3), P₂(-3,1) and P₃(3,5)
= ∑(mass × x-co-ordinate)
= ∑(mass × y-co-ordinate)
Therefore
= (4×2)+{3×(-3)}+(3×3)
=8
= {4×(-3)}+{3×1}+(3×5)
=6
The x co-ordinate of the center of mass is the ratio of to the total mass.
The y co-ordinate of the center of mass is the ratio of to the total mass.
Total mass (m) = m₁+ m₂+ m₃
= 4+3+3
=10
The x co-ordinate of the center of mass is
The y co-ordinate of the center of mass is
Therefore the co-ordinate of the center of mass is =