The area of a triangular garden can be no more than 120 square feet. the base of the triangle is 16 feet. what is the height of the triangle?
show your work

The height is 15 feet.

0.5xbxh<_120 (equate formula for area of triangle to 120)

0.5x16xh<_120

16xh<_240 (120 divided by 0.5)

h<_15 (240 divided by 16)

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

360/29

step-by-step explanation: