Question

Find the distance between points M(1, -3) and N(9, 10). Write your answer in the nearest tenth.

Answer 1

The distance between points M(1, -3) and N(9, 10) is approximately 15.3 units, when rounded to the nearest tenth.

Step-by-step explanation:

To find the distance between two points M(1, -3) and N(9, 10), we use the distance formula which derives from the Pythagorean theorem. The formula is:

d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)

Let's plug in the values:

d = √((9 - 1)^2 + (10 - (-3))^2) = √((8)^2 + (13)^2) = √(64 + 169) = √(233)

The approximate distance is √(233), which we can round to the nearest tenth. Using a calculator, we find that the distance, d ≈ 15.3 units. Therefore, the distance between points M and N is 15.3 units.