Question

Find the distance between the points (-0.3,3.3) and (-4.3,3.9)

Distance =


Give the approximate distance, rounded to three decimal places.

Answer 1

To find the distance between the points \((-0.3, 3.3)\) and \((-4.3, 3.9)\), we can use the distance formula:

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

Here, we assign:

- \((x_1, y_1) = (-0.3, 3.3)\)
- \((x_2, y_2) = (-4.3, 3.9)\)

Now, we calculate:

1. \(x_2 - x_1 = -4.3 - (-0.3) = -4.3 + 0.3 = -4.0\)
2. \(y_2 - y_1 = 3.9 - 3.3 = 0.6\)

Substituting these values into the distance formula:

\[
d = \sqrt{(-4.0)^2 + (0.6)^2}
\]

Calculating each square:

\[
(-4.0)^2 = 16.0
\]
\[
(0.6)^2 = 0.36
\]

Now, plug these values back into the equation:

\[
d = \sqrt{16.0 + 0.36} = \sqrt{16.36}
\]

Calculating the square root:

\[
d \approx 4.032
\]

Finally, rounding to three decimal places, the distance is:

\[
\boxed{4.032}
\]