Answer: 1 2/3 more
Step-by-step explanation:
Answer:
4 or -4
Step-by-step explanation:
Y is directly proportional to x^2 means there is a constant, k, such that y=kx^2.
We are given y=8 when x=2. This information will allow us to find k in the equation y=kx^2.
8=k(2)^2
8=k(4)
This implies k=2 since 2(4)=8.
So the equation for any pair (x,y) is y=2x^2.
We want to find x when y=32.
32=2x^2
32/2=2x^2/2
16=x^2
This implies x=4 or -4.
Answer:
m∠MBT = 28°
Step-by-step explanation:
Since m∠NBM = m∠MBT, the 2 equations are equal to each other.
Step 1: Set up equation
17x - 6 = 5x + 18
Step 2: Solve for <em>x</em>
12x - 6 = 18
12x = 24
x = 2
Step 3: Find m∠MBT
m∠MBT = 5x + 18
m∠MBT = 5(2) + 18
m∠MBT = 10 + 18
m∠MBT = 28°
Answer: V = 193.25π
Step-by-step explanation: The method to calculate volume of a solid of revolution is given by an integral of the form:
V = ![\pi\int\limits^a_b {[f(x)]^{2}} \, dx](https://tex.z-dn.net/?f=%5Cpi%5Cint%5Climits%5Ea_b%20%7B%5Bf%28x%29%5D%5E%7B2%7D%7D%20%5C%2C%20dx)
f(x) is the area is the function that rotated forms the solid.
For f(x)=y= 
and solid delimited by x = 2 and x = 4:
V = 
V = 
V = 
V = 
V = 193.25π
The volume of a solid formed by y = 
and delimited by x = 2 and x = 4
is 193.25π cubic units.
