Answer:

Step-by-step explanation:
The given rational equation is

The Least Common Denominator is

Multiply each term by the LCD.

Simplify;


Expand;

Group similar terms;


Divide by -8.

Answer:

Step-by-step explanation:
General Equation of circle is
----------- (1)
Here

Radius r is distance from origin (x1, y1) to point (x2, y2)=(-3, -6)




Substituting values in equation (1)


Answer:
horizontal translation 1 unit right and vertical translation 2 unit up
Step-by-step explanation:
we are given


We can see that in place x , we have x-1
So, it is shifted horizontally right side by 1 unit
We have +2 added to f(x)-value
It means 2 is added to y-value
So, it is shifted vertically upward by 2 units
So, horizontal translation 1 unit right and vertical translation 2 unit up
2x+ 1 = 3x - 1 ;
1 + 1 = 3x - 2x ;
2 = x ;
x = 2 ;
Then, y = 2x2 + 1 = 5 ;
V=1024 pi m^3 and v=250 pi m^3
the similarity ratio of the smaller to larger similar cones is
k= V/v=1024 pi m^3/250 pi m^3= 4.096
the great cone is 4.096 times of the small cone (in volume)