In the figure below, points D, E, and F are the midpoints of the sides of LABC,
1 answer:
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Let's assume
length of rectangle =L
width of rectangle =W
You enclose 3 sides of the garden with 40 feet of fencing
so, we get
now, we can solve for L
we know that
area of rectangle is
now, we can plug
now, we can solve for W
we can use quadratic formula
we can take anyone value ..because both are giving positive value
first dimensions:
now, we can find L
so, length is 34.142feet
width is 2.929 feet
Second dimensions:
now, we can find L
so, length is 5.858feet
width is 17.071 feet
the assumption being that the first machine is the one on the left-hand-side and the second is the one on the right-hand-side.
the input goes to the 1st machine and the output of that goes to the 2nd machine.
a)
if she uses and input of 6 on the 2nd one, the result will be 6² - 6 = 30, if we feed that to the 1st one the result will be √( 30 - 5) = √25 = 5, so, simply having the machines swap places will work to get a final output of 5.
b)
clearly we can never get an output of -5 from a square root, however we can from the quadratic one, the 2nd machine/equation.
let's check something, we need a -5 on the 2nd, so
so if we use a "1" as the output on the first machine, we should be able to find out what input we need, let's do that.
so if we use an input of 6 on the first machine, we should be able to get a -5 as final output from the 2nd machine.