Answer:
B(5, -8)
Explanation:
For this, you need to apply the Distance Formula √[(-x₁ + x₂)² + (-y₁ + y₂)²], in which EVERYTHING is wrapped under the radical. Here is how it is done:
√[(0 + 5)² + (-4 - 8)²]
↑
Since y₂ is -8,
replace the "+" with "-",
then attach 8.
This is what you get you get:
√[(5)² + (-12)²] >> √[25 + 144] >> √169 = 13
Since we are dealing with distance, it is a NON-NEGATIVE answer.
**Now, 16 is another possibility for y₂, however, it does NOT lie in Quadrant IIII, so be EXTREMELY careful when it comes to quadrants.
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