Hello!
Are you in algebra?
Here is how to solve and graph.
First, look for the slope and y-intercept of your equation.
y = - 1/2r-6
The y intercept is, -6
The slope is -1/2
the variable r, is another way to represent x, as it is just a variable.
now that you have all that information, plot -6 on the graph, -6 should be on the y- axis.
from that point, move down one space and move right two space. complete this step multiple times.
Now please look at the photo, and Here's what the graph should look like.
the answer is C. 60 degrees. The problem says that all three angles equal each other. Since all three angles in a triangle always equals 180 degrees. divide 180 by 3 and you get your answer.
Parallel lines have, by definition, the same slope:
Therefore:
Find where the two curves intersect:
<em>y</em> = 6<em>x</em> - 2<em>x</em> ²
<em>y</em> = <em>x</em> ²
6<em>x</em> - 2<em>x</em> ² = <em>x</em> ² → 3<em>x</em> ² - 6<em>x</em> = 3<em>x</em> (<em>x</em> - 2) = 0 → <em>x</em> = 0 and <em>x</em> = 2
Now, for a shell of radius <em>x</em> units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ <em>x</em> ≤ 2, we have 6<em>x</em> - <em>x</em> ² ≥ <em>x</em> ², so the height of any given shell is (6<em>x</em> - <em>x</em> ²) - <em>x</em> ² = 6<em>x</em> - 2<em>x</em> ².
Then volume of the solid is