Given:
On a coordinate plane a line contains the point (2,6) and models a proportional relationship.
To find:
The points which are also on the line.
Solution:
The line models a proportional relationship.
![y\propto x](https://tex.z-dn.net/?f=y%5Cpropto%20x)
...(i)
where, k is constant of proportionality.
Put x=2 and y=6 in the above equation.
![6=k(2)](https://tex.z-dn.net/?f=6%3Dk%282%29)
Divide both sides by 2.
![\dfrac{6}{2}=k](https://tex.z-dn.net/?f=%5Cdfrac%7B6%7D%7B2%7D%3Dk)
![k=3](https://tex.z-dn.net/?f=k%3D3)
Put k=3 in equation (i).
We can say that the point whose y-coordinate is 3 times of its x-coordinate, are the point which are lie on the line.
For example: (1,3), (3,3), (-1,-3) etc.
So, the equation of line is
. All the points which satisfy this equation represents the points on the line.
The answer to this problem would be B. Here are the steps:
So, the dimensions of the prism are: 9,3, and 7.
Multiply them all: 9×3×7=189
Lastly: you multiply 189×1/3=63 yd^3
Incase you are wondering, since each cube is 1/3 in length you multiply that by the volume of the prism.
Hope this helps (:
55/A is the answer
Hope this helps
We are given a rain gutter made from folding a 12 inch wide aluminum sheet to an angle theta. The area of the opening is expressed as A(Θ) = 16 sin Θ (cos Θ + 1) where <span>Θ = 60°. we can just substitute directly the angle in degrees mode in the calculator and the answer is equal to 20.78 inches2.</span>