Question

On a map, Stephen's house is located at (8,2) and Dixie's house is located at (-4, -7). What is the distance between Stephen's house and Dixie's house?

Answer 1

Distance = 15 units

Explanation:

We can determine the distance between Stephen and Dixie's house using the distance formula, which is given by:

D = √(x2 - x1)^2 + (y2 - y1)^2, where

• D is the distance,
• (x1, y1) is one point,
• and (x2, y2) is another point.

Thus, we can find the distance between their houses by substituting (8, 2) for (x1, y1) and (-4, -7) for (x2, y2) in the distance formula:

D = √(-4 - 8)^2 + (-7 - 2)^2

D = √(-12)^2 + (-9)^2

D = √144 + 81

D = √225

D = 15

Thus, Stephen and Dixie's houses are 15 units apart.