The nyc parks department is designing a rectangular athletic field for a new park in brooklyn. the width of the field needs to be 10 feet shorter than the length, and the perimeter of the field needs to be 80 feet. what is the length of the new field?

Length = 25feets

Step-by-step explanation:

Let the length l = x

Width w = x - 10

Perimeter = 80

And Perimeter = 2(l + w)

:- 80 = 2{x + (x - 10)}

80 = 2{x + x - 10}

80 = 2(2x - 10)

80 = 4x - 20

4x = 80 + 20

4x = 100

x = 100/4

x = 25ft

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."