Question 9 of 10What is the distance between the points (4, 5) and (10, 13) on a coordinate plane?A.10 unitsB.12 unitsC.14 unitsD.8 units

To find the distance between two points on a coordinate plane, we use the distance formula which is derived from the Pythagorean theorem. The distance formula is:

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

Here, (x1, y1) and (x2, y2) are the coordinates of the two points.

So, for the points (4, 5) and (10, 13), we have:

x1 = 4, y1 = 5, x2 = 10, y2 = 13

Substituting these values into the distance formula, we get:

d = sqrt[(10 - 4)^2 + (13 - 5)^2] d = sqrt[(6)^2 + (8)^2] d = sqrt[36 + 64] d = sqrt[100] d = 10

So, the distance between the points (4, 5) and (10, 13) on a coordinate plane is 10 units. Therefore, the answer is A. 10 units.