Find the distance between the two points rounding to the nearest tenth (if necessary).

Question

left bracket, 2, comma, 8, right bracket, and , left bracket, minus, 2, comma, 0, right bracket
(2,8) and (−2,0)

Answer 1

To find the distance between these two points, we can use the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the first point (x1, y1) are (2, 8) and the coordinates of the second point (x2, y2) are (-2, 0).

Plugging these values into the formula, we get:

distance = √((-2 - 2)^2 + (0 - 8)^2)
distance = √((-4)^2 + (-8)^2)
distance = √(16 + 64)
distance = √80
distance ≈ 8.94

Therefore, the distance between the two points is approximately 8.9 (rounded to the nearest tenth).