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.
Answer:
x=4
Step-by-step explanation:
4(3+2x)+2=46
12+8x+2=46
12+8x=44
8x=32
x=4
Answer:
see image...
the (x-h) shifts the curve left right (east west)
and the +k at the end shifts it up/down (north/south)
Step-by-step explanation:
Answer:
(1, 7)
Step-by-step explanation:
Substitute x = 1 into the equation for the corresponding value of y
y = 2x + 5 = (2 × 1) + 5 = 2 + 5 = 7
Solution is (1, 7)
Answer:
x = 1
y = -1
z = 2
Step-by-step explanation:
You have the following system of equations:
First, you can subtract euqation (3) to equation (1):
x + 2y - z = -3
<u>-x +y -z = - 4 </u>
0 3y -2z = -7 (4)
Next, you can multiply equation (3) by 2 and subtract it to equation (2):
2[ x -y + z = 4]
<u> -2x +y -z = -5</u>
0 -y + z= 3 (5)
You multiply equation (5) by 2 and sum (5) with (4):
2[ -y + z = 3]
<u> 3y -2z= -7</u>
y + 0 = -1
Then y = -1
Next, you replace y=-1 in (5) to obtain z:
-(-1) + z = 3
z = 2
Finally, you can replace z and y in the equation (3) to obtain x:
x - (-1) + (2) = 4
x = 1
