Find the distance CD rounded to the nearest tenth C =(10,-1) and D =(-6,3) CD = ?
To find the distance between points C(10, -1) and D(-6, 3), we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of C and D into the formula:
Distance = √((-6 - 10)^2 + (3 - (-1))^2)
Distance = √((-16)^2 + (4)^2)
Distance = √(256 + 16)
Distance = √272
Distance ≈ 16.5 (rounded to the nearest tenth)
Therefore, the distance CD is approximately 16.5 units.
To find the distance between points C and D, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
𝑑 = √((𝑥₂ - 𝑥₁)² + (𝑦₂ - 𝑦₁)²)
where (𝑥₁, 𝑦₁) are the coordinates of point C and (𝑥₂, 𝑦₂) are the coordinates of point D.
Let's substitute the values of C and D into the formula:
For C = (10, -1), 𝑥₁ = 10 and 𝑦₁ = -1.
For D = (-6, 3), 𝑥₂ = -6 and 𝑦₂ = 3.
𝑑 = √((-6 - 10)² + (3 - (-1))²)
= √((-16)² + (4)²)
= √(256 + 16)
= √(272)
≈ 16.49
Therefore, when rounded to the nearest tenth, the distance CD is approximately 16.5 units.