Question

Find the distance between each pair of points. Round to the tenths place.

Answer 1

Answer:

12.0

Step-by-step explanation:

Given the two points shown on the graph above, assuming 1 unit = 1 box, the coordinates of the two points are: (2, 7) and (-6, -2)

Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2}$, to find the distance between points (2, 7) and (-6, -2)

Let,

$(2, 7) = (x_1, y_1)$

$(-6, -2) = (x_2, y_2)$

$d = \sqrt{(-6 - 2)^2 + (-2 - 7)^2}$

$d = \sqrt{(-8)^2 + (-9)^2}$

$d = \sqrt{64 + 81} = \sqrt{145} = 12.0 units$ (nearest tenth)