Answer:
1465.1 cm²
Step-by-step explanation:
El espejo en forma de diamante tiene la forma de rombo
Tenga en cuenta que: las diagonales del rombo tienen las mismas medidas de esos lados
Por lo tanto, el área del espejo se calcula como:
1/2 × Diagonal 1 × Diagonal 2
Diagonal 1 = 80.5 cm
Diagonal 2 = 36.4 cm
= 1/2 × 80.5 cm × 36.4 cm
= 2930.2 cm² / 2
= 1465.1 cm²
Por tanto, el área del espejo es 1465.1 cm².
Answer:
to lowest terms of 32:28 is 8/7 or 8:7
Step-by-step explanation:
-16w-26+9w=-61
-16w+9w=-61+26
-7w=-35
w=5
Answer:
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Explanation:
A quadratic function can be written in vertex form as:
f
(
x
)
=
a
(
x
−
h
)
2
+
k
where
(
h
,
k
)
is the vertex and
a
is a constant multiplier.
In our example the vertex
(
h
,
k
)
is
(
3
,
4
)
, so we can write:
f
(
x
)
=
a
(
x
−
3
)
2
+
4
Given that this passes through the point
(
1
,
2
)
, we must have:
2
=
a
(
1
−
3
)
2
+
4
=
4
a
+
4
Subtract
4
from both ends to get:
−
2
=
4
a
Divide both sides by
4
and transpose to find:
a
=
−
1
2
So our quadratic function can be written in vertex form as:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
We can multiply this out and simplify as follows:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
f
(
x
)
=
−
1
2
(
x
2
−
6
x
+
9
)
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
9
2
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Step-by-step explanation:
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