Given Coordinates: x1 = -10 y1 = 12, x2 = 16 y2 = -20
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(16 − (-10))2 + (-20 − 12)2
d = √(16 + 10)2 + (-20 − 12)2
d = √262 + (-32)2
d = √676 + 1,024
d = √1,700
d = √100 * 17
d = √100 * √17
d = 10√17
Therefore, the distance between the points (-10, 12) and (16, -20) is equal to 10√17
Note: As a decimal number, 10√17 ≈ 41.231056256177
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(16 − (-10))2 + (-20 − 12)2
d = √(16 + 10)2 + (-20 − 12)2
d = √262 + (-32)2
d = √676 + 1,024
d = √1,700
d = √100 * 17
d = √100 * √17
d = 10√17
Therefore, the distance between the points (-10, 12) and (16, -20) is equal to 10√17
Note: As a decimal number, 10√17 ≈ 41.231056256177
