<h2>Population becomes 550 in 27 days</h2>
Step-by-step explanation:
The population of spiders in a lab is modeled by the function 
, where 
represents the number of days since population was first counted.
Consider that after 
days, the population of spiders has grown to 550. We need to find such .
Applying logarithm on both sides,
∴ It takes about 27 days for the population to become 550.
Answer:
<h2>(9, -2) and (0, 4)</h2>
Step-by-step explanation:
Answer:
I believe the answer is 2⅕
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:
3k²+11k+6, or (k+3)(3k+2), which is the 3rd one. :)
