Distance and the pythagorean theorem practice

Question

Find the distance between (2, 3) and (4, -9). Round your answer to the nearest hundredth, if necessary

Answer 1

To find the distance between two points (x1, y1) and (x2, y2), we can use the Pythagorean theorem.

In this case, the points are (2, 3) and (4, -9).

Let's label the coordinates as follows:
(x1, y1) = (2, 3)
(x2, y2) = (4, -9)

The distance formula using the Pythagorean theorem is:

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

Plugging in the values, we get:

distance = sqrt((4 - 2)^2 + (-9 - 3)^2)
distance = sqrt((2)^2 + (-12)^2)
distance = sqrt(4 + 144)
distance = sqrt(148)

To the nearest hundredth, the distance is approximately 12.17.