Fatou marks the points (3,−5)

Question

and (−2,−7)
on the coordinate plane. Then, she finds the distance between them. What is this distance rounded up to the nearest tenth of a unit?(1 point)
The distance is about
units.
Remaining Attempts : 3

Answer 1

To find the distance between the two points \((3, -5)\) and \((-2, -7)\), we can use the distance formula, which is given by:

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

In this case, we identify the points as:

• \( (x_1, y_1) = (3, -5) \)
• \( (x_2, y_2) = (-2, -7) \)

Substituting the coordinates into the distance formula:

\[ d = \sqrt{((-2) - 3)^2 + ((-7) - (-5))^2} \] \[ d = \sqrt{(-5)^2 + (-2)^2} \] \[ d = \sqrt{25 + 4} \] \[ d = \sqrt{29} \]

Now, we calculate \(\sqrt{29}\). The approximate value of \(\sqrt{29}\) is about \(5.385\).

Rounding this value to the nearest tenth, we get:

\[ 5.4 \]

Therefore, the distance is about 5.4 units.