The line represented by the equation 4y + 2x = 33.6 shares a solution point with the line represented by the table below. The solution for this system is:

(6.0)(5.4)

Step-by-step explanation:

First we have to find the equation of the line represented in the table; for that we have to find it's slope  and it's y-intercept  and then write it in the following form:

The slope  of the line we get from first two points:

thus we have

we find  by putting the point  into the function:

Thus we have

Now we have to find where this line intersects with ; to do this we just substitute  with :

We have the x-coordinate of  the intersection.

We find the y-coordinate by substituting  into :

C. π(2ft)²(10ft) + 1/3π(2ft)²(13ft-10ft)

Step-by-step explanation:

Given:

diameter = 4ft

length of the cylindrical part = 10ft

entire length of the silo = 13ft

Find the volume of the silo = volume of cylinder and volume of the cone

Formulas:

Volume of cylinder: πr²h

Volume of come: 1/3πr²h

2ft= radius

height =10

volume π×2²×10

radius 2ft

height 13-10=3ft

Volume= 1/3×π×2²×3 cube feet

Therefore the third answer is correct: C. π(2ft)²(10ft) + 1/3π(2ft)²(13ft-10ft)