X = sqrt
t = x^2
y = 2t + 5
2t = y - 5
t = (y - 5)/2
so x^2 = (y - 5) / 2
2x^2 = y - 5
y = 2x^2 + 5
Answer:
The radius of the circle is 
Step-by-step explanation:
we know that
The circumference of a circle is equal to

In this problem we have


substitute and solve for r


Answer:
2, 4, and 5
Step-by-step explanation:
There are three states that a system of linear equations can be in. Intersecting, parallel, and overlapping. Intersecting results in one solution, parallel results in none, and overlapping makes all solutions that are on the line correct. The question says that there are infinite solutions, so it must be overlapping. We can immediately rule out the first one because only points that lie on the line can be solutions. Since we know that the system has all of the solutions shown, 2 has to be true. 3 is the same idea. When you plug the x value (20) into the equation, you get the y value (58) meaning that it must be true. 5 is stated above.
Find the area of the top, which is a circle.
Area of a circle = pi x r^2
Area = 3.14 x 1.5^2 = 7.065
Now for the volume multiply the area of the top by the height:
7.065 x 12 = 84.78 cubic inches
Round to the nearest tenth: 84.8 cubic inches