1 Answer

Kene David Nwosu · Answer 1 · 2021-08-11T21:13:23+0000

Answer:

(0,3)

Explanation:

You need to pick a point, P, that will give you a distance from A to P that is twice as long as from P to B, or ration 2:1

Point A is (-2,-7), point B is (1,8), and I picked (0.3) because it looked like it could be, but now we need to test it.

Distance formula is:

$d=\sqrt{(x_(2)-x_(1))^(2) + {(y_(2)-y_(1))^(2) } \\$

So AP would be

$AP=\sqrt{(0--2)^(2) + {(3--7)^(2) } \\$

$AP=\sqrt{(2)^(2) + {(10)^(2) } \\$

Do the same with PB, and you will find it's 5.1, giving an approximate ratio of 2:1.

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