When a polygon is regular, that means that all of its sides are the same length and all of its angles are the same. A heptagon has seven sides and you know that all of them measure 3 inches. You can find the perimeter by adding all of the side measures together, so 3 + 3 + 3 + 3 + 3 + 3 + 3, or 3 x 7. So, the perimeter of the heptagon is 21 inches.
Given

subject to the constraint

Let

.
The gradient vectors of

and

are:

and

By Lagrange's theorem, there is a number

, such that


It can be seen that

has local extreme values at the given region.
Answer:
x= 48
Step-by-step explanation:
Multiply 8 by 6 to get x by itself and you get your answer.
Answer:
8.54
Step-by-step explanation:
53= -19z+5+7z
53= -12z+5 (combine -19z and 7z)
48= -12z. ( subract 5 on both sides)
-4=z. (divide by -12 both sides)