Hope this helps you understand!
:)
8p² + 71p - 90
8p² + 80p - 9p - 90
(8p - 9)(p + 10)
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:
There is no next step, the problem is answered!
Step-by-step explanation:
Okay, so all this question wants you to do is plug in 2 for x and solve for your output, aka y.
y = -4x² - 8
when x = 2....
y = -4(2)² - 8
y = -16 - 8
y = -24
so, when your input is 2, your output is -24.
