Lulu marks the points (9,2) and (3,6) on the coordinate plane. What is the distance between these two points, rounded to the nearest tenth of a unit?(1 point)

Responses

7.2 units
7.2 units

7.8 units
7.8 units

10.0 units
10.0 units

6.0 units

1 answer

To find the distance between the points \( (9, 2) \) and \( (3, 6) \), we can use the distance formula:

\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Substituting in the coordinates of the points:

  • \( (x_1, y_1) = (9, 2) \)
  • \( (x_2, y_2) = (3, 6) \)

We get:

\[ d = \sqrt{(3 - 9)^2 + (6 - 2)^2} \] \[ = \sqrt{(-6)^2 + (4)^2} \] \[ = \sqrt{36 + 16} \] \[ = \sqrt{52} \] \[ \approx 7.2111 \]

Rounding to the nearest tenth, we obtain:

\[ \approx 7.2 \text{ units} \]

Thus, the distance between the two points is 7.2 units.