Answer:
(6,1)
Step-by-step explanation:
1.) group the x and y terms (and move the constant to the other side)
x²-12x+y²-2y= -12
divide the coeficcents for the terms with just 1 or 1 x variable by 2 and then square it (and add that to both sides)
x²-12x+36+y²-2y+1= -12+36+1
factor
(x-6)²+(y-1)²= 25
the center is therefore (6,1)
-10/5 or -8/4
You can make up an equation with the solution of -2 by multiplying -2 by any number ( for example -2 x 5 ) and then divide the result by the random factor you chose ( which would be 5 in this case )
The answer to this question is $57.02
Answer:
1/2
Step-by-step explanation:
Since it is given that the cone and the hemisphere have the same height, and since the height of a hemisphere would be equal to its radius, the cones height must also be equal to its base radius.
With this information we can use the respective volume formulas.
Hemisphere:
πr^3
Cone:
πhr^2
Since h (height) = r we can say the cone volume equals:
πr^3
Now to find the ratio we divide the cone volume equation by the hemisphere volume equation
pi and r^3 cancels out from the division and we are left with
ratio = (1/3)/(2/3)
ratio = 1/2
Answer:
Step-by-step explanation:
Step 3