SOLUTION: I have a worksheet called dot to dot distance. Using the given grid and the starting point A(2,9), connect the points A through H in alphabetical order. I know how to put the poin

Algebra ->  Length-and-distance -> SOLUTION: I have a worksheet called dot to dot distance. Using the given grid and the starting point A(2,9), connect the points A through H in alphabetical order. I know how to put the poin      Log On


   

Question 155114: I have a worksheet called dot to dot distance. Using the given grid and the starting point A(2,9), connect the points A through H in alphabetical order. I know how to put the points on the grid. My problem I am working is...plot point B(5,y) where AB=square root sign with 34 inside and y >9. My computer does not have the square root sign. Thank you for your help and I need to see how you got the answer so I can then do the other 6.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Distance between two points:
http://www.purplemath.com/modules/distform.htm
+d+=+sqrt%28%28X2-X2%29%5E2%2B%28Y2-Y1%29%5E2%29+
.
In your problem, it states:
+AB=sqrt%2834%29+
This is the "distance" (d) between points A and B.
.
Your two points:
A(2,9)
B(5,y)
.
Plug the above into the distance formula:
+d+=+sqrt%28%28X2-X2%29%5E2%2B%28Y2-Y1%29%5E2%29+
+sqrt%2834%29+=+sqrt%28%285-2%29%5E2%2B%28y-9%29%5E2%29+
squaring both sides we get:
+34+=+%285-2%29%5E2%2B%28y-9%29%5E2+
+34+=+3%5E2%2B%28y-9%29%5E2+
+34+=+9%2B%28y-9%29%5E2+
+25+=+%28y-9%29%5E2+
.
Taking the square root of both sides. Here, notice that there are TWO different paths you can take -- sqrt(5) can equal -5 or +5. If you chose the -5 route, y would NOT greater than 9. Therefore, choose the +5 route:
.
+5+=+y-9+
+14+=+y+ (this is your answer)
.
Reference: If we had taken the -5 route, you would have gotten:
+-5+=+y-9+
+4+=+y+
y is NOT >9 -- toss out solution.