Question

Which of the following is the distance between the points (3,-3) and (9,5)?

Answer 1

`\sqrt{ {(9 - 3)}^(2) + {(5 - ( - 3))}^(2) }`

`= \sqrt{ {6}^(2) + {8}^(2) } = √(36 + 64) = √(100) = 10`

Answer 2

Answer: 10

Explanation:

The distance between the points (3,-3) and (9,5) can be calculated using the distance formula, which is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the given values, we get:

d = sqrt((9 - 3)^2 + (5 - (-3))^2)

d = sqrt(6^2 + 8^2)

d = sqrt(36 + 64)

d = sqrt(100)

d = 10

Therefore, the distance between the points (3,-3) and (9,5) is 10 units.