Answer:
isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.
Step-by-step explanation:
Let
denote a set of elements.
would denote the set of all ordered pairs of elements of
.
For example, with
,
and
are both members of
. However,
because the pairs are ordered.
A relation
on
is a subset of
. For any two elements
,
if and only if the ordered pair
is in
.
A relation
on set
is an equivalence relation if it satisfies the following:
- Reflexivity: for any
, the relation
needs to ensure that
(that is:
.)
- Symmetry: for any
,
if and only if
. In other words, either both
and
are in
, or neither is in
.
- Transitivity: for any
, if
and
, then
. In other words, if
and
are both in
, then
also needs to be in
.
The relation
(on
) in this question is indeed reflexive.
,
, and
(one pair for each element of
) are all elements of
.
isn't symmetric.
but
(the pairs in
are all ordered.) In other words,
isn't equivalent to
under
even though
.
Neither is
transitive.
and
. However,
. In other words, under relation
,
and
does not imply
.
Y=8.50x+5.00
56=y
-56=8.50x+5.00
56=8.50x+5.00
-5.00 -5.00
51=8.50x
÷8.5 ÷8.5
6=x <u>HE CAN BUY 6 DVDS</u>
The equation that works for this is
y=1/7x + 0! It is parallel and goes through (0,0)
Hope this helps :)
Step-by-step explanation:
Slope=9
i)

When line is parallel
y+5=9(x-6)
y+5 = 9x - 54
<h3>59 = 9x-y </h3>
When line is perpendicular
y+5=-1/9(x-6)
9(y+5)= -1(x-6)
9y + 45 = -x+6
<h3>
x+9y = -39</h3>
<h2>
MARK ME AS BRAINLIST </h2>