Julio owns a four-sided lot that lies between two parallel streets. if his 90,[email  protected] lot has 500-ft frontage on one street and 300-ft frontage on the other, then how far apart are the streets?

  225 ft

Step-by-step explanation:

The area of a trapezoid can be found from the formula ...

   A = (1/2)(b1 +b2)h

We can fill in the given information and solve for h. (All linear dimensions in ft; area in ft².)

  90,000 = (1/2)(500 + 300)h

  90,000/400 = h = 225

The distance between streets is 225 feet.

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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