Question

Find the distance between point A (1, 9) and B (14, 17). Round your answer to the nearest tenth. on a graph

Answer 1

To find the distance between two points \( A(1, 9) \) and \( B(14, 17) \) on a graph, you can use the distance formula:

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

Substituting the coordinates of points A and B into the formula, where \( A (x_1, y_1) = (1, 9) \) and \( B (x_2, y_2) = (14, 17) \):

\[
d = \sqrt{(14 - 1)^2 + (17 - 9)^2}
\]

Calculating each component:

\[
d = \sqrt{(13)^2 + (8)^2}
\]
\[
d = \sqrt{169 + 64}
\]
\[
d = \sqrt{233}
\]

Now, calculating \( \sqrt{233} \):

\[
\sqrt{233} \approx 15.231
\]

Rounding to the nearest tenth, the distance between points A and B is approximately:

\[
\boxed{15.2}
\]