Question

Determine the distance between the points (−3, −1) and (−9, −10).

a) square root of 15 units
2) square root of 113 units
3) square root of 117 units
4) square root of 265 units

Answer 1

The distance between the points (-3, -1) and (-9, -10) is the square root of 117 units.

Step-by-step explanation:

To determine the distance between the points (-3, -1) and (-9, -10), we use the distance formula derived from the Pythagorean theorem:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points. Substituting the given points:

d = √[(-9 - (-3))² + (-10 - (-1))²]
= √[(-6)² + (-9)²]
= √[36 + 81]
= √117

Thus, the distance between the two points is the square root of 117 units.