159.2, 163.5, 164.1, 171.4, 173.2, 174.3, 174.8, 177.6, 6165.1
mean= 835.9
median= 173.2
mode= N/A
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.
So given l = x+5 and w = x
area represented by equation x^2 +5x = 300
x^2 +5x -300 =0
(x+20)(x-15)=0
x+20 =0
x = -20
x-15=0
x=15
so from these result the width of rectangle equal 15 inches and the length of rectangle equal 20 inches
Y = 3.50x
245 = 3.50x
x = 245/3.5
x = 70 coffee mugs
315 = 3.50x
x = 315/3.5
x = 90 coffee mugs
Ronny needs to sell 90 coffee mugs to reach his sales goal. However, he already sold 70 coffee mugs, so he needs to sell an additional 20 coffee mugs to reach 90 coffee mugs and reach his $315 sales goal.
