Distance and the pythagorean theorem practice
Find the distance between (-8, -3) and ( -2, -5). Round your answer to the nearest hundredth, if necessary
To find the distance between two points, we can use the distance formula:
The distance formula is given as:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
So let's plug in the values:
x1 = -8, y1 = -3
x2 = -2, y2 = -5
Distance = √((-2 - (-8))^2 + (-5 - (-3))^2)
= √((6)^2 + (-2)^2)
= √(36 + 4)
= √(40)
Now let's use the Pythagorean theorem to simplify the square root:
√(40) = √(4 * 10)
= √(4) * √(10)
= 2 * √(10)
Therefore, the distance between (-8, -3) and ( -2, -5) is 2√(10) or approximately 6.32 (rounded to the nearest hundredth).