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This is the answer and the steps
Answer:
It is a perfect square. Explanation below.
Explanation:
Perfect squares are of the form
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
. In polynomials of x, the a-term is always x.(
(
x
+
c
)
2
=
x
2
+
2
c
x
+
c
2
)
x
2
+
8
x
+
16
is the given trinomial. Notice that the first term and the constant are both perfect squares:
x
2
is the square of x and 16 is the square of 4.
So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,
8
x
is of the form
2
c
x
.
The middle term is twice the constant times x, so it is
2
×
4
×
x
=
8
x
.
Okay, we found out that the trinomial is of the form
(
x
+
c
)
2
, where
x
=
x
and
c
=
4
.
Let us rewrite it as
x
2
+
8
x
+
16
=
(
x
+
4
)
2
. Now we can say it is a perfect square, as it is the square of
(
x
+
4
)
.
Answer:
Her current age is 8 years old.
Step-by-step explanation:
Current age: x
"In 10 years, a child’s age will be 6 years less than triple her current age."
In 10 years: <u>x + 10</u>
6 years less than triple: <em>3x - 6</em>
<u>x + 10</u> = <em>3x - 6</em>
<em>solve.</em>
<em>16 = 2x</em>
<em>x = 8</em>
six point three hundred and twenty four
