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# Coordinates

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54
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What is the x-coordinate of the point on the x-axis that is equidistant from points A(2,0) and B(0,6)?

Aug 10, 2021

#1
0

midpoint = ((x1 + x2) / 2, (y1 + y2) / 2) = (1, 3)

Aug 10, 2021
#2
+12248
+1

What is the x-coordinate of the point on the x-axis that is equidistant from points A(2,0) and B(0,6)?

Hello Guest!

The distance of the point on the x-axis from the origin is x.

Then the following applies:

$$-x+2=\sqrt{x^2+6^2}\ |\ square \\ x^2-4x+4=x^2+36\\ -4x=32$$

$$x=-8$$

The x-coordinate of the point on the x-axis is -8.

!

Aug 10, 2021