What is the number of units in the distance from the origin to the point (-8,6) in a coordinate system?
what is
√((-8)^2 + (6^2)) ?
To find the distance between two points in a coordinate system, we can use the distance formula. The distance formula states that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
distance = sqrt((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the coordinates of the origin (0, 0) can be considered as the first point (x₁, y₁), and the coordinates (-8, 6) can be considered as the second point (x₂, y₂).
Plugging in these values into the formula, we have:
distance = sqrt((-8 - 0)² + (6 - 0)²)
= sqrt((-8)² + (6)²)
= sqrt(64 + 36)
= sqrt(100)
= 10
Therefore, the number of units in the distance from the origin to the point (-8, 6) is 10 units.