Given:
Expression is
To prove:
If r is any rational number, then is rational.
Step-by-step explanation:
Property 1: Every integer is a rational number. It is Theorem 4.3.1.
Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.
Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.
Let r be any rational number.
We have,
It can be written as
Now,
3, -2 and 4 are rational numbers by property 1.
is rational by Property 3.
are rational by Property 3.
is rational by property 2.
So, is rational.
Hence proved.
A. Y= -7
X=2
4x+2y=-6
+(3x-2y=-8
Answer:
This can not be properly answered, because we do not have the length of each trail.
The first step here will be find the length, in miles, for each of the four trails.
As students choose all four trails, the number of miles that each student will bike is equal to the addition of the lenght of the four trails.
Suppose this number is N.
So each student bike N miles, and the company donates $1.75 per mile. Then the amount of money that a single student is N times $1.75, or N*$1.75
Step-by-step explanation:
SinA=1/3=p/h
p=1,h=3,and b=?
Using Pythagoras Theorem,
b=√3^2-1^2
b=√9-1
b=√8=2√2
Now,
CosA=b/h=2√2/3
TanA=p/b=1/2√2
There is no phi in my keypad so I use A angle instead of phi.Adjust it.
