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:
8 gallons
Step-by-step explanation:
Each rectangular face of the monument has an area of ...
A = bh = (9 ft)(39 ft) = 351 ft^2
The triangular face on top of that rectangle has an area of ...
A = (1/2)bh = (1/2)(9 ft)(10 ft) = 45 ft^2
So, one side of the monument has an area of ...
one side = (351 ft^2) +(45 ft^2) = 396 ft^2
The total area of all four identical sides is ...
surface area = (4)(396 ft^2) = 1584 ft^2
__
Each gallon covers 199 ft^2, to the number gallons required is ...
(1584 ft^2)/(199 ft^2/gal) ≈ 7.96 gal
Since only whole gallons can be purchased, 8 gallons of paint must be bought.
Answer:
C
Step-by-step explanation:
The figure congruent is the one in Option C.
