Find all the points (x,6) that are 10 units from the point P (-17,-2)

The points that are 10 units from P(-17,-2) are (-23,6) and (-11,6)

Step-by-step explanation:

Distance Between Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

It can be also expressed as:

Substituting the values of both points, and knowing the distance is 10:

Swapping both sides:

Moving the constants to the right side:

Taking the square root:

We get two possible answers:

Thus the points that are 10 units from the point P(-17,-2) are (-23,6) and (-11,6)

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step-by-step explanation:

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