Answer:
P = 2l + 2w
solve for w
re-write
2l + 2w = P
subtract 2l from both sides
2w = P - 2l
divide both sides by 2
w = (P - 2l) / 2
Answer is B
w = (P - 2l) / 2
Answer:
V=16
Step-by-step explanation:
We are given that an inverse variation

We have to find the value of V when p=1/2
To find the value of V we will substitute the value of p
Substitute the value of p
Then, we get


Using multiplication property of equality

Using multiplication property of equality

Hence, the value of V=16
The stock of cat food will last for 149 weeks.
Step-by-step explanation:
Given,
Bags of cat food in stock = 112
Bags used each week = 
Let,
x be the number of weeks.
Therefore,

Multiplying both sides by 4/3

Rounding off to nearest whole number;
x=149
The stock of cat food will last for 149 weeks.
Keywords: fraction, multiplication
Learn more about fractions at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
How to write numbers in standard form:
Write the first number 8.
Add a decimal point after it: 8.
Now count the number of digits after 8. There are 13 digits.
So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³
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.