1/2 x3 + 3.4y
1/2 3(2) + 3.4(5)
1/2 3X2 + 3.4X5
1/2 6 + 8.4
1/2 14.4
0.5 + 14.4
14.9
I think this is the answer. I might be wrong!
Have a great day! :D
Point A is the midpoint of CT which means the ratio of CA:CT would be 1:2.
To find CT, you need to find the distance of CA then applies 2 times of the distance to the point C
Xca= Xa-Xc= 1- (-2)= 3
Yca= Ya- Yc= -3 -5= -8
Xt= Xc + 2* Xca= -2 + 2*3= 4
Yt= Yc + 2* Yca= 5 + 2*-8= -11
T(Xt, Yt)= T(4, -11)
The coordinate for point T would be (4, -11)
First, we can see that he used the Distributive property. Then after that, he used the Additive property. After that, he combined like terms and the used the additive property again. Finally, he used the divisive property.
They are essentially asking us to solve:

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.