Answer:First, you must find the midpoint of the segment, the formula for which is
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
. This gives
(
−
5
,
3
)
as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
y
2
−
y
1
x
2
−
x
1
, which gives us a slope of
5
.
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
5
is
−
1
5
.
We now know that the perpendicular travels through the point
(
−
5
,
3
)
and has a slope of
−
1
5
.
Solve for the unknown
b
in
y
=
m
x
+
b
.
3
=
−
1
5
(
−
5
)
+
b
⇒
3
=
1
+
b
⇒
2
=
b
Therefore, the equation of the perpendicular bisector is
y
=
−
1
5
x
+
2
.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
C. 5/2, 3 this is the answer
Answer:
32 - 2.5x - 2y
Step-by-step explanation:
He bought 2.5 pounds weight of apples for x dollars a pound. Thus, cost is 2.5x.
He bought 2 bags of lettuce for y dollars each. Thus, cost is 2y
Total bill cost = 2.5x + 2y
We are told he has a coupon for $2 off his bill.
This means the amount he will pay will now be;
2.5x + 2y - 2
Gabriel has $30 to pay for the groceries.
Thus, his change will be;
30 - (2.5x + 2y - 2)
This gives;
32 - 2.5x - 2y
When the increase of speed stays the same doesn't increase nor decrease
