Given Coordinates: x1 = -3 y1 = -6, x2 = 5 y2 = 10
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(5 − (-3))2 + (10 − (-6))2
d = √(5 + 3)2 + (10 + 6)2
d = √82 + 162
d = √64 + 256
d = √320
d = √64 * 5
d = √64 * √5
d = 8√5
Therefore, the distance between the points (-3, -6) and (5, 10) is equal to 8√5
Note: As a decimal number, 8√5 ≈ 17.888543819998
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(5 − (-3))2 + (10 − (-6))2
d = √(5 + 3)2 + (10 + 6)2
d = √82 + 162
d = √64 + 256
d = √320
d = √64 * 5
d = √64 * √5
d = 8√5
Therefore, the distance between the points (-3, -6) and (5, 10) is equal to 8√5
Note: As a decimal number, 8√5 ≈ 17.888543819998