SOLUTION: Two circles with center A and B are tangent to each other and both tangent to the x axis in the xy coordinate place. If circle A has a radius of 1 and circle B has a radius of 4, w

Algebra ->  Finance -> SOLUTION: Two circles with center A and B are tangent to each other and both tangent to the x axis in the xy coordinate place. If circle A has a radius of 1 and circle B has a radius of 4, w      Log On


   



Question 1089601: Two circles with center A and B are tangent to each other and both tangent to the x axis in the xy coordinate place. If circle A has a radius of 1 and circle B has a radius of 4, what's the slope of the segment that connects both center?
Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
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Make a sketch.

Find and draw a right angled triangle in your sketch.


(1 + 4) = 5 is the length of the hypotenuse of the right-angled triangle.

(4 - 1) = 3 is the length of the vertical leg.

You need to find the length of the horizontal leg.


The slope is delta_y%2Fdelta_x = %284-1%29%2Fsqrt%28%281+%2B+4%29%5E2-%284-1%29%5E2%29%29 = 3%2Fsqrt%285%5E2+-+3%5E2%29 = 3%2Fsqrt%2825-9%29 = 3%2Fsqrt%2816%29 = 3%2F4.

Solved.