Answer:
<em>The points that are 10 units from P(-17,-2) are (-23,6) and (-11,6)</em>
Step-by-step explanation:
<u>Distance Between Points in the Plane
</u>
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)