Question

Given the points (-10,-7) and (-8, 1). In distance formula, find the distance between these points.

Answer 1

√((-10 - (-8))² + (-7 - 1)²)

= √((-2)² + (-8)²)

= √(4 + 64)

= √68 = 2√17

Answer 2

The distance between the points (-10, -7) and (-8, 1) is found using the distance formula √((x_2 - x_1)^2 + (y_2 - y_1)^2) and is approximately 8.246 units.

Step-by-step explanation:

To find the distance between the points (-10,-7) and (-8, 1) using the distance formula, we use the formula derived from the Pythagorean theorem: d = √((x_2 - x_1)^2 + (y_2 - y_1)^2), where d represents the distance, and (x_1, y_1) and (x_2, y_2) are the coordinates of the two points.

Plugging in our points, we get:
d = √((-8 - (-10))^2 + (1 - (-7))^2)
d = √((2)^2 + (8)^2)
d = √(4 + 64)
d = √68
d ≈ 8.246

So, the distance between the two points is approximately 8.246 units.