Answer:
Hence, the relation R is a reflexive, symmetric and transitive relation.
Given :
A be the set of all lines in the plane and R is a relation on set A.

To find :
Which type of relation R on set A.
Explanation :
A relation R on a set A is called reflexive relation if every
then
.
So, the relation R is a reflexive relation because a line always parallels to itself.
A relation R on a set A is called Symmetric relation if
then
for all
.
So, the relation R is a symmetric relation because if a line
is parallel to the line
the always the line
is parallel to the line
.
A relation R on a set A is called transitive relation if
and
then
for all
.
So, the relation R is a transitive relation because if a line
s parallel to the line
and the line
is parallel to the line
then the always line
is parallel to the line
.
Therefore the relation R is a reflexive, symmetric and transitive relation.
First find the slope of f(x).
m=(y2-y1)/(x2-x1)
m=(1-5)/(2-0)
m=-4/2
m=-2
y=-2x+b, using (2,1) we can solve for the y-intercept, "b"
1=-2(2)+b
1=-4+b
5=b
y=-2x+5
So f(x) has a y-intercept of 5
g(x)=6m+3
So g(x) has a y-intercept of 3
h(x)=3x+4
So h(x) has a y-intercept of 4
Then g(x) has the lowest y-intercept of just 3.
Answer:
She can make 9 uniform tops from the material left.
Step-by-step explanation:
Given:
Yards of material left on the bolt = 
Material requirement for a uniform top for band members = 
To find the number of tops that can be made from the material left.
Solution:
In order to find the number of tops that can be made from
yards of material, we need to divide
by
.
Number of uniform tops that can be made is given as:
⇒ 
We first convert mixed number to fractions.
⇒ 
To divide fractions the fractions are multiplied after flipping the divisor.
⇒ 
⇒ 
⇒ 9
Thus, she can make 9 uniform tops from the material left.
It would be 5sqrt2
a^2 + b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
c = sqrt 50
c = 5sqrt2