Given Coordinates: x1 = -12 y1 = 4, x2 = -20 y2 = 16
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-20 − (-12))2 + (16 − 4)2
d = √(-20 + 12)2 + (16 − 4)2
d = √(-8)2 + 122
d = √64 + 144
d = √208
d = √16 * 13
d = √16 * √13
d = 4√13
Therefore, the distance between the points (-12, 4) and (-20, 16) is equal to 4√13
Note: As a decimal number, 4√13 ≈ 14.422205101856
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(-20 − (-12))2 + (16 − 4)2
d = √(-20 + 12)2 + (16 − 4)2
d = √(-8)2 + 122
d = √64 + 144
d = √208
d = √16 * 13
d = √16 * √13
d = 4√13
Therefore, the distance between the points (-12, 4) and (-20, 16) is equal to 4√13
Note: As a decimal number, 4√13 ≈ 14.422205101856