Answer:
n = 10
Step-by-step explanation:
given m varies directly as n then the equation relating them is
m = kn ← k is the constant of variation
to find k use the condition m = 6 when n = 5
6 = 5k ( divide both sides by 5 )
k = = 1.2
m = 1.2n ← equation of variation
when m = 12 , then
12 = 1.2n ( divide both sides by 1.2 )
10 = n
Answer:
a). 8(x + a)
b). 8(h + 2x)
Step-by-step explanation:
a). Given function is, f(x) = 8x²
For x = a,
f(a) = 8a²
Now substitute these values in the expression,
=
=
=
= 8(x + a)
b). =
=
=
= (8h + 16x)
= 8(h + 2x)
Answer:
Option A
Step-by-step explanation:
The volume of a cone is:
The volume of a cylinder is:
Both figures have the same height h and the same radius r.
The volume of the cylinder
We want to find the volume of the cone.
Then, we find r and h:
We simplify.
Then the product of .
We substitute this in the cone formula and get: