Our hundred eighty dollars are available to fence in a rectangular garden. The fencing for the north and south sides of the garden costs $5 per foot and the fencing for the east and west sides costs $15 per foot. Find the dimensions of the largest possible garden. (Give exact answers.) ft (north side)

Step-by-step explanation:

Available funds = 180 $

Let the rectangle have length l and width w.

Then fencing cost for north and south = 5(2l) and

other two sides = 15(2w)

Total cost = 10l+30w

This is less than or equal to 180

To have max area we must have l+3w = 18

or l = 18-3w

Area

Use derivative test to find maximum area

A'(w) =

A"=-6

So maximum when I derivative =0 or w =3

Thus dimensions should be w =3 and l = 18-9 = 9

9x3 in feet would be the dimensions for largest garden.

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15