Answer:
option 3
Step-by-step explanation:
V= πr²h
to make h the subject
h= V÷πr²
just take πr² to the other side
as it in multiplication on the left hand side, it will in division in right hand side.
hope it helps!
V= 3.14r^2h
10/2= r
5^2= 25
(3.14)(25)(6)
V=471
There are two ways you can do this. You can use the longer way:
15+16+17+18+19+20+21+22+23+24 = 195 (starting from the top row, which has 15 logs, up until the bottom row, which has 24 logs, on condition that each second row has one log more than the previous one)
You can also use the formula (where n is the number of rows)
x= (n(first term+last term))/2
x= (10(15+24))/2
x= (10*39)/2
x=390/2
x=195
Either way, there are 195 logs in the stack.
We have been given an equation of hyperbola
. We are asked to find the center of hyperbola.
We know that standard equation of a vertical hyperbola is in form
, where point (h,k) represents center of hyperbola.
Upon comparing our given equation with standard vertical hyperbola, we can see that the value of h is 6.
To find the value of k, we need to rewrite our equation as:

Now we can see that value of k is
. Therefore, the vertex of given hyperbola will be at point
and option D is the correct choice.
U find the slope of the two points, and that is the rate of change. the slope equation is y2-y1/x2-x1 ,, so for example, if you have the points (3,1) and (4,6) the equation you would do is 6-1/4-3 , which is equal to 5/1 (aka 5) , therefore the rate of change (and slope) is 5