The answer would be 9v ^4 + 27v ^3 - 36v^2
Step-by-step explanation:
You first would multiply each term in the parenthesis by 9v^2
9v^2 (v^2) + 9v^2 (3v) - 9v^2 (4)
After this you combine the like terms
9v^2 * v^2 is 9v^4
9v^2 * 3v is 27v^3
-9v^2 * 4 is -36v^2
Because you can not simplify it any smaller, this is your final answer
The volume of the sphere is 900 cm³
Step-by-step explanation:
- Step 1: Given the diameter of the ball = 12 cm. Find radius.
Radius = diameter/2 = 12/2 = 6cm
- Use the formula for volume of a sphere to find the volume.
Volume of the ball = 4/3 πr³
= 4/3 × 3.14 × (6)³
= 904.32 cm³ ≈ 900 cm³ (nearest hundredth)
Just do for example on number 38 you will do 6.8/1000= 0.0068 which is the answer
Answer:
4
Step-by-step explanation:
Answer with explanation:
For, a Matrix A , having eigenvector 'v' has eigenvalue =2
The order of matrix is not given.
It has one eigenvalue it means it is of order , 1×1.
→A=[a]
Determinant [a-k I]=0, where k is eigenvalue of the given matrix.
It is given that,
k=2
For, k=2, the matrix [a-2 I] will become singular,that is
→ Determinant |a-2 I|=0
→I=[1]
→a=2
Let , v be the corresponding eigenvector of the given eigenvalue.
→[a-I] v=0
→[2-1] v=[0]
→[v]=[0]
→v=0
Now, corresponding eigenvector(v), when eigenvalue is 2 =0
We have to find solution of the system
→Ax=v
→[2] x=0
→[2 x] =[0]
→x=0, is one solution of the system.
