Answer:
1/27
Step-by-step explanation:
(1/27)^2016*27^2015 =
27^-2016 * 27^2015 =
27^(-2016+2015) =
27^-1 =
1/27
Answer:

Step-by-step explanation:
When making a right triangle with 2 points, the distance is the hypotenuse which can be represent as "x"
To find the distance we can use the Pythagorean theorem.

→ 
→ 
→ 
<u>Let's Plug in the side lengths:</u>
<u>Evaluate 9²= </u><u>81</u><u> and 2²= </u><u>4</u><u>:</u>
<u>Now, add 81+4= 85</u>
<u>Take the square root of both sides:</u>
_____________________________
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need
to minimize the area A=x*y
we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2
so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4
find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]
for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in
(y)=[722/(x-4)]+2
y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in
the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in
Answer:
10 is the rate of change
Step-by-step explanation: