Adjacent angles<span> are two </span>angles<span> that have a common vertex and a common side.
<OPN and <TSP have a common side but do not have a common vertex.
<OPN and <RSU do not have a common side or a common vertex.
<OPN and <QPN are adjacent angles. They have a common side and a common vertex.
<OPN and <QPS have common vertex but do not have a common side.</span>
To get the area, the formula is 2l x 2w = a
so the formula will be like this:
(x)(x+x/4)=180
where,
x is the width
x+x/4 is the height
180 is the area
(x)(x+x/4)=180
[4(x)][4(x+x/4)]=180(4) multiply all sides by 4 to remove the fraction
(4x)(4x+x)=720
(4x)(5x)=720 simplify
20x^2=720 multiply 4x and 5x
20x^2=720 get the sq root of both sides
4.47x=26.83 divide by 4.47 to get the value of x
x=6
the width is 6 sq inches
the length is 7.5 sq inches
[(2)(6)][(2)(7.5)]=180
(12)(15)=180
180=180
The Lagrangian is
with partial derivatives (set equal to 0)
Case 1: If 
, then
Then
So we have two critical points, 
and 
Case 2: If 
, then in the first equation we get
and from the third equation,
Then
but there are no real solutions for 
, so this case yields no additional critical points.
So at the two critical points we've found, we get extreme values of
(min)
and
(max)
Answer:
once simplified the expression is, -6xy^4
(the ^ means an exponent)
Step-by-step explanation:
2x+3=5 is not a COMPLETE answer, however it is an answer
Submitting 2x+3=5 instead of doing the work yourself will result in a fail.
Doing work for equations but refusing to the do the final step is absolutely unnaceptable.
I hope that we can improve our learning and answering style soon, as I do not want to repeat myself.
