Answer:
Step-by-step explanation:
Rewrite
100
x
2
100
x
2
as
(
10
x
)
2
(
10
x
)
2
.
(
10
x
)
2
+
60
x
+
9
(
10
x
)
2
+
60
x
+
9
Rewrite
9
9
as
3
2
3
2
.
(
10
x
)
2
+
60
x
+
3
2
(
10
x
)
2
+
60
x
+
3
2
Check the middle term by multiplying
2
a
b
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
(
10
x
)
⋅
3
2
a
b
=
2
⋅
(
10
x
)
⋅
3
Simplify.
2
a
b
=
60
x
2
a
b
=
60
x
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
10
x
a
=
10
x
and
b
=
3
b
=
3
.
(
10
x
+
3
)
2
Answer:
The answer is
<h2>36π cubic inches</h2>
Step-by-step explanation:
Volume of a sphere is given by
<h3>

</h3>
where r is the radius
From the question
r = 3 inches
Substitute the value into the above formula and solve for the volume
That's
<h3>

</h3>
We have the final answer as
<h3>36π cubic inches</h3>
Hope this helps you
Answer:
The answer to your question is the third choice
Step-by-step explanation:
To solve this problem, just multiply 6 by each of the numbers of the matrix and simplify.
6 | 4 -2 1 | = | (6 x 4) (6 x -2) (6 x 1) |
| 7 3 0| | (6 x 7) (6 x 3) (6 x 0) |
= | 24 -12 6 |
| 42 18 0 |
The first choice is wrong because only multiply by six the first row.
The second and fourth rows are incomplete.
8 and 4 are the main numbers