Answer:
General term
=
n
t
h
t
e
r
m
=
a
n
=
5
n
+
2
Explanation:
Here,
7
,
12
,
17
,
22
,
27
,
...
is an Arithmetic Sequence.
The
,
n
t
h
term of Arithmetic Sequence is :
a
n
=
a
1
+
(
n
−
1
)
d
,
w
h
e
r
e
,
a
1
=
first term and
d
=
common difference
We have,
a
1
=
7
and
d
=
12
−
7
=
17
−
12
=
...
=
5
So,
a
n
=
7
+
(
n
−
1
)
⋅
5
a
n
=
7
+
5
n
−
5
a
n
=
5
n
+
2
Hence,
General term
=
n
t
h
t
e
r
m
=
a
n
=
5
n
+
2
Step-by-step explanation:
Answer:
C = 34 degrees, A=8.6 feet
Step-by-step explanation:
Use sine law:
![sin^{-1} [12(\frac{sin122}{18})]= C](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%20%5B12%28%5Cfrac%7Bsin122%7D%7B18%7D%29%5D%3D%20%20C)
C = 34 degrees
Now that you have the C and B degrees, solve for A degrees
180 - 34 - 122 = 24 degrees for angle A
Same way as above use sine law to find the side for a now:
A=8.6 feet
** Thing to note is that you can rearrage the sine formula to have either the legnth or the angle on top. It's pretty straightforward, find the angles you do have and then work from there. If sine law doesnt work with your example, use cosine law. and work backwards. Wish you luck.
Hi, here is the solution...
We need to find the value of f(-2).
The value of x = -2 comes under the second function f(x) = 4x, where -3≤x≤-1.
To find the value of f(-2), plug in x = -2 in f(x) = 4x
f(-2) = 4 (-2)
f(-2) = -8.
The answer is -8.
Thank you :)
Answer:
-4.4c +1.1
Step-by-step explanation:
The terms that contain c are "like terms". They are -5.8c and +1.4c. The distributive property shows you how to combine these terms.
-5.8c +1.4c = (-5.8 +1.4)c = -4.4c
The terms with no variable are constant terms. They, too, are "like terms" and can simply be added together.
+4.2 -3.1 = 1.1
Then the expression is simplified to ...
-5.8c +4.2 -3.1 +1.4c = (-5.8c +1.4c) +(4.2 -3.1) = -4.4c +1.1
Answer:
34
Step-by-step explanation:
5+3=8
8+10=18
18+42=60
60-26=34
