Question

Fatou marks the points (3,−5)
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 points (3, -5) and (-2, -7) on the coordinate plane, you can use the distance formula:

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

where \((x_1, y_1)\) = (3, -5) and \((x_2, y_2)\) = (-2, -7).

Now, plug in the values:

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

Now, let's calculate \(\sqrt{29}\):

\[
\sqrt{29} \approx 5.385
\]

Rounding this to the nearest tenth gives:

\[
5.4
\]

So, the distance between the two points is about **5.4 units**.