Respuesta :

The value of x that fills the coordinate are 7 or -5

Distance between two points

The formula for calculating the distance between two points is expressed as:

D = √(x2-x1)² +(y2-y1)²

Substitute the given coordinates

10 = √(15-7)² +(1-x)²

100 = 8²  +(1-x)²

(1-x)² = 100 - 64

(1-x)² = 36

1- x = -6

x = 7 or -5

Hence the value of x that fills the coordinate are 7 or -5

Learn more on distance formula here: https://brainly.com/question/661229

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Complete question

If the distance between two points (x, 7) and (1, 15) is 10, find the value of x.