Answer:
It is given that the volume of a cone = 
cubic units
Volume of cone with radius 'r' and height 'h' = 
Equating the given volumes, we get
× 
It is given that the height is 'x' units.
Therefore, 
Therefore, 
So, the expression '
' represents the radius of the cone's base in units.
Answer:
To find the LCD of two rational expressions, we factor the expressions and multiply all of the distinct factors. For instance, if the factored denominators were (x+3)(x+4) ( x + 3 ) ( x + 4 ) and (x+4)(x+5) ( x + 4 ) ( x + 5 ) , then the LCD would be (x+3)(x+4)(x+5) ( x + 3 ) ( x + 4 ) ( x + 5 ) .
Answer:
(0,-5) and (-4,3)
Step-by-step explanation:
The given equations are
Make y the subject in the second equation;
Substitute into the first equation;
Expand:
When x=0,
This gives; (0,-5)
When x=-4
This gives (-4,3)
So 41-36=5, 5x5=25, which makes it 6(25-(8+14)). So then it's 6(25-22), which is 6x3, which is 18. (So 18 is the answer).
Each time the previous number is multiplied by 2
