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geometry question
its my 3rd day of school. i have a quiz tommarow and im most likely going to fail can someone explain, and answer these couple problems.. The endpoints of MN are M(-3,-9) and N (4,8)? what is the approximae legnth of MN? a 1.4, b 7.2 c 13 ,d 18.4? next question, and different type of question.. Use the given endpoint R and the midpoint RS to find the coordinates of the other endpoint S.... R(5,1),M(1,4)
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The advice columnist before me suggested the distance formula, but I'm partial to the Pythagorean Theoreom (a squared + b squared = c squared). You find the rise and the run of the line (changes in y, changes in x). Then you make an imaginary triangle. Substitute the change in y and the change in x for a and b in the Pythagorean theoreom, and solve. Then you get the length of side c, the hypotenuse, and you have the length of the line. I don't know how your geometry teacher teaches this, but it works. So, I'll help you out on this question. The change in x between points M and N is 7, and the change in y between points M and N is 17. Substitute those numbers into a and b and solve. So (7 X 7) + (17 X 17) = c squared. As for the next question, basically it's saying that the length of RM = the length of MS. So you use this complicated formula which I will try to type out... [(y sub2 + y sub1)/2] + [(x sub2 + x sub1)/2]. That gives you the coordinates of the endpoint S. I hope I helped... if you need some more explanation, send one to my inbox.
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Okay, for MN length, use the distance formula. It's simple. distance= (square root) (x-x) (squared) + (y-y) squared
So it will be the square root of (-3-4) squared + (-9-8) squared.
So -7 squared is 49 + 289 =338. Square root that and its 18. 384... so its D.
When they are looking for the length b/w 2 points, always use the distance formula. square root of (x-x) squared + (y-y) squared
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Mid point...erm I'm pretty sure that M needs to be a S or its not possible to solve. Anywhos midpoint formula is:
x+x dived by 2 and y+y divded by two. So it will be 5+1 divded by two which is 3 and 1+4 divded by 2 which is 2.5
so its (3, 2.5) It's jsut asking for the coordinate halfway trough.
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