There is a line and a parabola in the graph.
So, we will get the solution set from the point of intersection of both line and parabola.
Notice that the parabola and the line intersecting at two points E(1, 5) and C(-0.5,2).
So, the solution set is E(1, 5) and C(-0.5,2).
The volume of the cylinder is equal to the sum of all spheres
the volume of 1 sphere is V1=4/3×pi×(1/2 x)³
simplified V1=1/6×pi×x²
we conclude that the volume of the cylinder is V2=270V1
V2=45×pi×x³
also the V2 can be calculated from the cylinder
V2= base(circle)×height
V2=(3x)²×pi×h=9x²×h
so we have
9x²×pi×h=45×pi×x³
simplified h=5x
Both these lines are linear and have the same slope, just different y-intercepts. This means one line is shifted higher than the other. y=x+8 is 14 units higher than y=x-6. The answer to you question therefore is 14 units!
The third one should be -2(2x-6)=12-4x
Last one should be 2(2x-6)+4x=8x-12
Answer:
The answer is 3.
Step-by-step explanation:
All you need to do is insert 3 and 2 into T and S's places because they give you the value of both or then. When you insert the numbers, you multiply them. It should look like this: (12(3)) divided by (6(2)). Then divided both the numbers in the order the equation is asking to get 3.