Division is the opposite from multiplication
Answer:
Part 15) The next three terms are 5/8,3/4 and 7/8
Part 16) The 37th term is -35.5
Step-by-step explanation:
we know that
In an <u>Arithmetic Sequence</u> the difference between one term and the next is a constant and this constant is called the common difference (d)
Part 15) Find the next three terms of the arithmetic sequence

so

The common difference is equal to
d=1/8
<u><em>Find the next three terms of the arithmetic sequence</em></u>
<u><em>Find a5</em></u>
----->
<u><em>Find a6</em></u>
----->
<u><em>Find a7</em></u>
----->
therefore
The next three terms are
5/8,3/4 and 7/8
Part 16) what is the 37th term of the arithmetic sequence

so


The common difference is equal to
d=-1.1
We can write an Arithmetic Sequence as a rule

substitute the values

For n=37
substitute



Answer:
5) 19/4
7) 49/5
Step-by-step explanation:
Let's solve your equation step-by-step.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
Step 1: Simplify both sides of the equation.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
(
3
)
(
3
x
)
+
(
3
)
(
−
4
)
=
(
−
2
)
(
1
)
+
(
−
2
)
(
−
4
x
)
(Distribute)
9
x
+
−
12
=
−
2
+
8
x
9
x
−
12
=
8
x
−
2
Step 2: Subtract 8x from both sides.
9
x
−
12
−
8
x
=
8
x
−
2
−
8
x
x
−
12
=
−
2
Step 3: Add 12 to both sides.
x
−
12
+
12
=
−
2
+
12
x
=
10
Since the angles add to 180°, angle F is 72°.
Using the law of sines,
DF/sin72° = 24/sin45°
x = 32.28
So, did you just guess at A?
This is just an answer from another website, but it should still work.