Question
what is the distance between (-7,-2),(-12-2)
Answers
GPT-4o mini
To find the distance between the points \((-7, -2)\) and \((-12, -2)\), you can use the distance formula, which is given by:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
In this case, the coordinates of the points are:
- \( (x_1, y_1) = (-7, -2) \)
- \( (x_2, y_2) = (-12, -2) \)
Now, plug in the coordinates into the formula:
\[
d = \sqrt{((-12) - (-7))^2 + ((-2) - (-2))^2}
\]
Simplifying this, we find:
\[
d = \sqrt{(-12 + 7)^2 + (0)^2}
\]
\[
d = \sqrt{(-5)^2 + 0}
\]
\[
d = \sqrt{25}
\]
\[
d = 5
\]
Thus, the distance between the points \((-7, -2)\) and \((-12, -2)\) is \(5\) units.
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
In this case, the coordinates of the points are:
- \( (x_1, y_1) = (-7, -2) \)
- \( (x_2, y_2) = (-12, -2) \)
Now, plug in the coordinates into the formula:
\[
d = \sqrt{((-12) - (-7))^2 + ((-2) - (-2))^2}
\]
Simplifying this, we find:
\[
d = \sqrt{(-12 + 7)^2 + (0)^2}
\]
\[
d = \sqrt{(-5)^2 + 0}
\]
\[
d = \sqrt{25}
\]
\[
d = 5
\]
Thus, the distance between the points \((-7, -2)\) and \((-12, -2)\) is \(5\) units.