Answer: hello your question is poorly written below is the complete question
Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2): L1 is parallel to L2}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.
answer:
a ) R is equivalence
b) y = 2x + C
Step-by-step explanation:
<u>a) Prove that R is an equivalence relation </u>
Every line is seen to be parallel to itself ( i.e. reflexive ) also
L1 is parallel to L2 and L2 is as well parallel to L1 ( i.e. symmetric ) also
If we presume L1 is parallel to L2 and L2 is also parallel to L3 hence we can also conclude that L1 is parallel to L3 as well ( i.e. transitive )
with these conditions we can conclude that ; R is equivalence
<u>b) show the set of all lines related to y = 2x + 4 </u>
The set of all line that is related to y = 2x + 4
y = 2x + C
because parallel lines have the same slopes.
Answer:
x+5
Step-by-step explanation:
4x -3x= 1x or x
115-110= 5
x+5
Answer:
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month
Step-by-step explanation:
Melissa was charged $3 each time she used the ATM at work
She used the work ATM 24 times in a month.
Charge per usage= $3
Number of times of usage= 24
By how much did her bank account change from using the ATM at work
Total charges = charge per usage × Number of times of usage
= 3 × 24
= 72
Total charges = $72
Therefore, Melissa will be charged $72 for busing work ATM 24 times in a month
Answer:
Time left for each question is less than 5.5 minutes
Step-by-step explanation:
Given that:
Raphael is trying to solve 5 math questions in less than 20 minutes.
3 questions have been completed which have taken 3 minutes each.
To find:
How much time is left with Raphael for each question so as to reach his goal.
Solution:
First of all, let us find the time that has been already consumed by Raphael in solving the 3 questions.
3
3 = 9 minutes
Time left = Total Time - Time already consumed
Time left = 20 - 9 = 11 minutes
Number of questions to be solved = Total questions - Questions solved
Number of questions to be solved = 5 - 3 = 2
Average time left for each question = Time left divided by Number of questions to be solved
Average time left for each question = 11
2 = 5.5 minutes
Therefore, time left for each question is less than 5.5 minutes.
Answer:
( x + 36 ) ( x - 2 ) = 0
Step-by-step explanation:
x^2 + 36x - 2x -72 = 0
x ( x + 36 ) - 2 ( x + 36 ) = 0
( x + 36 ) ( x - 2 ) = 0