Find the distance between point M (-4,3) and N(9,-2) round to the nearest 10th

Answer 1

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

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

In this case, M (-4,3) corresponds to (x1, y1) and N (9,-2) corresponds to (x2, y2).

Using the formula, we have:

d = sqrt((9 - (-4))^2 + (-2 - 3)^2)
= sqrt((9 + 4)^2 + (-2 - 3)^2)
= sqrt(13^2 + (-5)^2)
= sqrt(169 + 25)
= sqrt(194)
≈ 13.9

Hence, the distance between points M (-4,3) and N (9,-2) is approximately 13.9.