Answer:
y = 6
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 3 when x = 9, then
k =
=
=
, thus
y =
x ← equation of variation
When x = 18, then
y =
× 18 =
= 6
Answer:
c = 15 meters
Step-by-step explanation:
This is solveable using the Pythagorean Theorem,
let's say a = 9 and b = 12,
a^2 + b^2 = c^2, so
9^2 + 12^2 = 225 then,
sqrt(225) = 15, so c = 15 m
Answer: Choise A and Choise B.
Step-by-step explanation:
Given the following expression:

You can simplify it in order to find equivalent expressions.
Appying the Distributive Property, you get:

So:
1. If you add the like terms, you get this equivalent expression:

2. But if you factor out 3, you get the following equivalent expression:

Therefore, the expression shown in Choice A and Choise B are equivalents to the expression 
Answer:
b) a cylinder with diameter of 4
Step-by-step explanation:
the square is being rotated about the line m, the sides of the rectangle being cut by the line, have a total length of 4which would be the diameter of the cylinder