Question

Find the distance between point C(−7, 5) and D(8, 16). Round your answer to the nearest tenth.

Answer 1

To find the distance between two points in a coordinate plane, we can use the distance formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

In this case, the coordinates of C are (-7, 5) and the coordinates of D are (8, 16). Substituting these values into the distance formula, we get:

Distance = √[(8 - (-7))² + (16 - 5)²]
Distance = √[15² + 11²]
Distance = √[225 + 121]
Distance = √346

Rounding this value to the nearest tenth, we get:

Distance ≈ 18.6

Therefore, the distance between point C(-7, 5) and D(8, 16) is approximately 18.6.