Find the dimensions of the rectangle

Mathematics

1 answer:

hoa [83]3 years ago

7 0

(a) The sum of length and width is half the perimeter, so the breadth in terms of length (x) in cm will be
.. breadth = 34 -x

(b) Then the expression for the area (in cm^2) is
.. area = length*breadth
.. 253 = (x)(34 -x)
.. x^2 -34x +253 = 0 . . . . . subtract the right side, eliminate parentheses
.. (x -11)(x -23) = 0 . . . . . . . factor
.. x = 11 or 23

The dimensions of the rectangle are 11 cm by 23 cm.

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Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.

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Okay, I worked it out and yes, it is a factor. Once you got x=-10, then you plug it into your formula. from there you can work it out like I did and get the answer. You can also input it into a scientific calcuator and figure it out that way. If you need any more help, go ahead and message me. Hope this helps. You can also but it into the box and divide it that way to find out. whichever way is better for you