Answer: x < - 8.5
Step-by-step explanation:
-46 - 8X > 22
+46. +46
-8x > 68
x < - 8.5
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:
6 19/24
Step-by-step explanation:
First, we make the denomanators the same
2 16/24 + 4 3/24
Next, we add
6 19/24
We can't symplify so that's the answer
Answer:
Step-by-step explanation:
The given series is:
The series is not very lengthy so we can write the expanded form;
This implies that;
