Answer:
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Step-by-step explanation:
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You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0
The width of the rectangle is 21 feet, the length is 29 feet.
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Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
I belive the 3rd picture is A so sorry if i get this wrong
Answer:
Step-by-step explanation:
First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:
Then plug these coordinates into the Point-Slope Formula Remember, in this formula, all the negative symbols give the OPPOSITE terms of what they really, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS. It does not matter which ordered pair you choose:
![\displaystyle y - y_1 = m[x - x_1] \\ \\ y - 3 = -1\frac{1}{5}x\:OR\:y + 3 = -1\frac{1}{5}x - 5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%20y_1%20%3D%20m%5Bx%20-%20x_1%5D%20%5C%5C%20%5C%5C%20y%20-%203%20%3D%20-1%5Cfrac%7B1%7D%7B5%7Dx%5C%3AOR%5C%3Ay%20%2B%203%20%3D%20-1%5Cfrac%7B1%7D%7B5%7Dx%20-%205)
I am joyous to assist you anytime.
