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:
27 oak trees
Step-by-step explanation:
Answer: 45 years old
Step-by-step explanation:
<u>Given:</u>
- Father's age is thrice the sum of ages of his two children
- After five years, his age will be twice the sum of their ages
Let x be the two children's current age and 3x be the father's current age
<u>Solve:</u>
Set equation
3x + 5 = 2 ( x + 10 )
Expand parenthesis
3x + 5 = 2x + 20
Subtract 5 on both sides
3x + 5 - 5 = 2x + 20 - 5
3x = 2x + 15
Subtract 2x on both sides
3x - 2x = 15
x = 15
15 × 3 = 45 years old
Hope this helps!! :)
Please let me know if you have any questions
Answer:
a=12
Step-by-step explanation:
if a=6b
and b=2
a=2×6
a=12
D.
or divide 900 by 20 and see the closest
