Answer:
2 right and 5 down
Step-by-step explanation:
44 peices are needed to surround the yard in fencing
Answer:
, 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
.
We will find the rate of Greg and Josh earning money that is
the amount of money they receive per unit time (hour)
Since the trip is in 3 weeks,
Number of hours Josh worked = 3 weeks * (5 hours/week) = 15
hours
Number of hours Greg worked = 3 weeks * (8 hours/week) = 24
hours
Josh’s rate = $480/15 hrs = $32/hr
Greg’s rate = $480/24 hrs = $20/hr
Therefore
Josh makes $12/hr more than Greg
