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Don't be afraid to do a little numerical method rather than always search for a closed solution, numerical methods were good enough for Newton, and they are good enough for us too.
Take your first question, 3 consecutive integers add up to 126. The 3 consecutive integers, the first being one less and the last being one more, are, logically, going to be quite close to 126/3, no?
So you divide 126 by 3, do it in your head for crying out loud, its 42.
Going back to what multiplication notation actually represents, 3X42 means 42+42+42, both of which equal 126, right? So your answer is 41, 42, 43.
I, too, sucked at math through public school, I'll blame that mostly on several really bad teachers I had at critical grade levels, the satanic queen of which actually said "never bother to reason why, just invert and multiply". Really. But Eienstien himself sucked at math in grade school, and while I am not the new Eienstien, I do work in engineering and did more than OK with math in college.
So quit chanting to yourself that math is hard, that you suck, and man up and do the work!
"Accept the challenges so you can feel the exhilaration of victory!" - G.S. Patton
16. The lenght of a rectangle is 7 cm more than the witdth. The perimeter is 78 cm. Find the lenght and the width of the rectangle.
perimeter is W+W+L+L
L=W+7
so --- 2W + 2(W+7) = 78
4W +14 =78
4W = 64
W=16
L=23
the length is 23, the width is 16
16. The lenght of a rectangle is 7 cm more than the witdth. The perimeter is 78 cm. Find the lenght and the width of the rectangle.
perimeter is W+W+L+L
L=W+7
so --- 2W + 2(W+7) = 78
4W +14 =78
4W = 64
W=16
L=23
the length is 23, the width is 16
17 and 18 would be done similarly
Thank you so much
Could you do 17 and 18 too please?
The point here is to show *you* how to do your homework, not to do it for you...
Drop the numbers from 17 and 18 into the "template" that Karla has so kindly provided.
Or as I pointed out, do it numerically, make a close first guess, for example treat the rectangle as a square, see how far you are off, then re-adjust your initial guess in the correct direction. Of course Newton's methods were considerably more sophisticated, but this is another approach.
The point here is to show *you* how to do your homework, not to do it for you...
Drop the numbers from 17 and 18 into the "template" that Karla has so kindly provided.
Or as I pointed out, do it numerically, make a close first guess, for example treat the rectangle as a square, see how far you are off, then re-adjust your initial guess in the correct direction. Of course Newton's methods were considerably more sophisticated, but this is another approach.
And yet poster after poster just hands out the answer. This student will never learn math, and will be in a miserable job their entire life because of it.
Please everyone, stop enabling these people. You are not helping even though you think you are.
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