1.

What points on the x-axis is equidistance from (7,6) and (-3,4)?​

Answer»

<P>Answer:

(3,0)

Step-by-step explanation:

If the point is on x axis, y- coordinate is zero.

Let the point be P(x,0)

A = (7,6)

B = (-3,4)

AP = BP

AP² = BP²

(x-7)² + (0-6)² = (x+3)² + (0-4)²

Solving, we get

x²+49-14x+36 = x²+9+6x+16

49+36-9-16 = 6x+14x

60 = 20x

x= 3

Therefore point is (3,0)

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