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Math Problems
Algebra 2
Complete the square
Soit
(
U
n
)
n
∈
N
\left(U_{n}\right)_{n \in N}
(
U
n
)
n
∈
N
la suite définie pour tout
n
∈
N
n \in N
n
∈
N
par
U
0
=
1
U_{0}=1
U
0
=
1
et
U
n
+
1
=
1
2
U
n
+
2
U_{n+1}=\frac{1}{2} U_{n}+2
U
n
+
1
=
2
1
U
n
+
2
.
\newline
1
1
1
. Calculer
U
1
U_{1}
U
1
et
U
2
U_{2}
U
2
.
\newline
2
2
2
. On pose pour tout
n
∈
N
V
n
=
U
n
−
4
n \in N V_{n}=U_{n}-4
n
∈
N
V
n
=
U
n
−
4
.
\newline
a. Montrer que
(
V
n
)
\left(V_{n}\right)
(
V
n
)
est géométrique de raison
1
2
\frac{1}{2}
2
1
.
\newline
b. En déduire l'expression de
V
n
V_{n}
V
n
puis de
n
∈
N
n \in N
n
∈
N
0
0
0
pour tout
n
∈
N
n \in N
n
∈
N
.
\newline
3
3
3
. Montrer que
n
∈
N
n \in N
n
∈
N
0
0
0
est croissante.
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Una torre de comunicaciones tiene una altura de
50
50
50
metros. Desde la base de la torre, un observador ve un ángulo de elevación de
60
60
60
grados hasta la parte superior de la torre. Calcula la distancia desde la base de la torre hasta el punto donde se encuentra el observador.
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
m
2
+
28
m
+
‾
m^2 + 28m + \underline{\hspace{3em}}
m
2
+
28
m
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
f
2
−
30
f
+
_
_
_
_
_
f^2 - 30f + \_\_\_\_\_
f
2
−
30
f
+
_____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
q
2
−
12
q
+
‾
q^2 - 12q + \underline{\hspace{2em}}
q
2
−
12
q
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
t
2
+
24
t
+
_
_
_
_
t^2 + 24t + \_\_\_\_
t
2
+
24
t
+
____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
j
2
+
26
j
+
‾
j^2 + 26j + \underline{\quad}
j
2
+
26
j
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
k
2
−
22
k
+
‾
k^2 - 22k + \underline{\hspace{2em}}
k
2
−
22
k
+
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
x
2
+
20
x
+
‾
x^2 + 20x + \underline{\hspace{1cm}}
x
2
+
20
x
+
Get tutor help
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
y
2
−
24
y
+
_
_
_
_
_
y^2 - 24y + \_\_\_\_\_
y
2
−
24
y
+
_____
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Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
\newline
f
2
+
8
f
+
_
_
_
_
_
f^2 + 8f + \_\_\_\_\_
f
2
+
8
f
+
_____
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