Answer:
This series is divergent
F
Step-by-step explanation:
we are given a series
Firstly, we will find nth term
Numerator:
3, 4, 5,...
so, nth term will be

Denominator:
4,5,6,....
so, nth term will be

so, we can find it's nth term as

we can use divergent test

we can divide top and bottom by n


now, we can plug n=inf


Since, it is non-zero value
so, this series is divergent
The temperature at 5 am was -3 degrees
12-15=-3
Group 'em together
a
b
−
a
+
1
−
b
a
b
−
a
=
a
(
b
−
1
)
Notice that there will be a 1 as without it it'll simply be ab
1
−
b
=
1
(
1
−
b
)
Notice that it doesn't match with the upper one... so we'll change the signs
1
(
1
−
b
)
=
−
1
(
b−
1
)
(try to multiply them now!!
Jot them down in one expression
a
(
b
−
1
)
−
1
(
b
−
1
)
You get!!!!!!
(
a
−
1
)
(
b
−
1
)
Answer:
The ladder reaches 4.8 ft up the wall
Step-by-step explanation:
Find the perpendicular line then find the intersection then find the point
perpendicular lines have slopes that are perpendicular
the slopes multiply bo -1
y=mx+b
m=slope
y=2x-3
2 is slope
2 times what=-1
what=-1/2
the equation is
y-3=-1/2(x-8) or
y=(-1/2)x+7
find intersection
at (4,5)
distance bwetweeen (8,3) and (4,5)
D=
D=
D=
D=

D=2√5
distance= 2√5