Answer:
![k = 1](https://tex.z-dn.net/?f=k%20%3D%201)
Step-by-step explanation:
Given
![3y = 5x + k](https://tex.z-dn.net/?f=3y%20%3D%205x%20%2B%20k)
Opposite points:
and ![(-2,1)](https://tex.z-dn.net/?f=%28-2%2C1%29)
Required
Find k
First, calculate the midpoint of the opposite points.
![(x,y) = 0.5(x_1 + x_2,y_1 + y_2)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%200.5%28x_1%20%2B%20x_2%2Cy_1%20%2B%20y_2%29)
This gives:
![(x,y) = 0.5(1 -2,-2 + 1)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%200.5%281%20-2%2C-2%20%2B%201%29)
![(x,y) = 0.5(-1,-1)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%200.5%28-1%2C-1%29)
Open bracket
![(x,y) = (-0.5,-0.5)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%3D%20%28-0.5%2C-0.5%29)
The equation
becomes:
![3 * -0.5 = 5 * -0.5 + k](https://tex.z-dn.net/?f=3%20%2A%20-0.5%20%3D%205%20%2A%20-0.5%20%2B%20k)
![-1.5 = -2.5 + k](https://tex.z-dn.net/?f=-1.5%20%3D%20-2.5%20%2B%20k)
Solve for k
![k = 2.5-1.5](https://tex.z-dn.net/?f=k%20%3D%202.5-1.5)
![k = 1](https://tex.z-dn.net/?f=k%20%3D%201)
The answer is 9. you start with 1+2 in the parenthesis and then divide 6 by 2. that gives you 3x3 which is 9
Answer: yards and meters
Step-by-step explanation:
Answer: 0.63
Step-by-step explanation:
1. Move the decimal point two places to the right giving you 0.63