Question

find the distance
(-9,-10) and (0,-7)

Answer 1

To find the distance between the points \((-9, -10)\) and \( (0, -7)\), you can use the distance formula, which is given by:

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

Here, \((x_1, y_1) = (-9, -10)\) and \((x_2, y_2) = (0, -7)\).

Substituting in the values, we calculate:

\[
d = \sqrt{(0 - (-9))^2 + (-7 - (-10))^2}
\]

This simplifies to:

\[
d = \sqrt{(0 + 9)^2 + (-7 + 10)^2}
\]
\[
d = \sqrt{9^2 + 3^2}
\]
\[
d = \sqrt{81 + 9}
\]
\[
d = \sqrt{90}
\]
\[
d = 3\sqrt{10}
\]

Thus, the distance between the points \((-9, -10)\) and \( (0, -7)\) is \(3\sqrt{10}\). If you want a decimal approximation, it is approximately \(9.49\).