Answer:
Step-by-step explanation:
<u>Solve for π</u>
- V = 4/3πr³
- 3/4V = πr³
- 3V/(4r³) = π
- π= 3V/(4r³)
Answer:
Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.
Step-by-step explanation:
First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.
However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.
Note:
If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.
According to someone else on brainly it says he point which divides the line segment joining the points 8,-9 and 2,3 in the ratio 1:2 internally lies in the quadrant
Answer:
Step-by-step explanation:
Our equation is:
First we dritribute
Now we have, 
light terms
and we get
Any point in that shaded area is a solution
(0,0) is a solution
(-1,-1) is a solution
(-3,3) is a solution
etc
