The function you seek to minimize is
()=3‾√4(3)2+(13−4)2
f
(
x
)
=
3
4
(
x
3
)
2
+
(
13
−
x
4
)
2
Then
′()=3‾√18−13−8=(3‾√18+18)−138
f
′
(
x
)
=
3
x
18
−
13
−
x
8
=
(
3
18
+
1
8
)
x
−
13
8
Note that ″()>0
f
″
(
x
)
>
0
so that the critical point at ′()=0
f
′
(
x
)
=
0
will be a minimum. The critical point is at
=1179+43‾√≈7.345m
x
=
117
9
+
4
3
≈
7.345
m
So that the amount used for the square will be 13−
13
−
x
, or
13−=524+33‾√≈5.655m
X = 8/15
6x - 1/5 = 3/1
6x - 1/5 = 3
6x = 3 + 1/5
6x = 15 + 1 over 5
6x = 16/5
x = 16/30
Then, you simplify.
x = 8/15
I believed there is a typo error in the choices. Below I assume that the correct choices:
<span>A. 9 (3+4)
</span>B. 9 (4+5)
C. 7(4+5)
D. 7(3+6)
The answer is letter A which is 9 (3+4) the greatest common denominator of 27 and 36 is 9. The factor of 27 is 9 and 3 while for 36 is 9 and 4. To check the answer you need to solve 9 (3+4) which is 63 while 27 + 36 is also 63.
201 - immigrant
221 - indigenous
Add 10 to indigenous and subtract 10 from immigrant.
2x-2(-2+1)=4
Distribute the -2 to the numbers in parantheses.
2x+4-2=4
Combine all numbers
2x+2=4
Subtract 2 from both sides
2x=2
Then divide by two
x=1