Answer:
3) five times the momentum
Step-by-step explanation:
Because, y e s
A = 4,
we denote one side of the rectangle with
a
, and the other with
b
we can write, that:
a
⋅
b
=
16
so we can write, that
b
=
16
a
Now we can write perimeter
P
as a function of
a
P
=
2
⋅
(
a
+
16
a
)
We are looking for the smallest perimeter, so we have to calculate derivative:
P
(
a
)
=
2
a
+
32
a
P
'
(
a
)
=
2
+
(
−
32
a
2
)
P
'
(
a
)
=
2
−
32
a
2
=
2
a
2
−
32
a
2
The extreme values can only be found in points where
P
'
(
a
)
=
0
P
'
(
a
)
=
0
⇔
2
a
2
−
32
=
0
2
a
2
−
32
=
0
x
a
2
−
16
=
0
×
x
.
.
a
2
=
16
×
×
x
a
=
−
4
or
a
=
4
Since, length is a scalar quantity, therefore, it cannot be negative,
When
a
=
4
,
b
=
16
4
b
=
4
You are going to build a new garage similar to the rectangular one you currently have. The current dimensions are 16 feet wide by 24 feet long. You need to stake and rope off where the concrete will be poured. If the new garage is going to have a width of 24 feet, how much rope are you going to need?
-60 feet
-120 feet
-112 feet
-56 feet
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional , and this ratio is called the scale factor
In this problem
the scale factor is
24/16=1.5
so
the length is equal to
Answer:
y+1/2-2y-1/2=4
y-2y=4
-y=4
y=-4
Let me know if this helps!
Answer:
x + 3y = 3
Step-by-step explanation:
The standard form equation ...
ax +by = c
has slope -a/b. Here, we want -a/b = -1/3, and we want a > 0. We can choose ...
a = 1, b = 3
and we can find the constant c using the given point.
x +3y = 12 +3(-3) = 3
The desired standard-form equation is ...
x + 3y = 3