Diana has available 80 yards of fencing and wishes to enclose a rectangular area. (a) express the area a of the rectangle as a function of the width w of the rectangle. (b) for what value of w is the area largest? (c) what is the maximum area?

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high

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system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.